Li, Shuping; Zhao, Xiaorong; Zhang, Ruixia Site-bond percolation model of epidemic spreading with vaccination in complex networks. (English) Zbl 1501.92173 J. Math. Biol. 85, No. 5, Paper No. 49, 14 p. (2022). MSC: 92D30 92C60 60K35 PDF BibTeX XML Cite \textit{S. Li} et al., J. Math. Biol. 85, No. 5, Paper No. 49, 14 p. (2022; Zbl 1501.92173) Full Text: DOI OpenURL
Mayes, Darion The random cluster model on the complete graph via large deviations. (English) Zbl 07597882 Stochastic Processes Appl. 153, 264-282 (2022). MSC: 05C80 60K35 60F10 60C05 PDF BibTeX XML Cite \textit{D. Mayes}, Stochastic Processes Appl. 153, 264--282 (2022; Zbl 07597882) Full Text: DOI arXiv OpenURL
Bhamidi, Shankar; Budhiraja, Amarjit; Dupuis, Paul; Wu, Ruoyu Rare event asymptotics for exploration processes for random graphs. (English) Zbl 1487.05239 Ann. Appl. Probab. 32, No. 2, 1112-1178 (2022). MSC: 05C80 60F10 60C05 90B15 60J85 PDF BibTeX XML Cite \textit{S. Bhamidi} et al., Ann. Appl. Probab. 32, No. 2, 1112--1178 (2022; Zbl 1487.05239) Full Text: DOI arXiv OpenURL
Fountoulakis, Nikolaos; Joos, Felix; Perarnau, Guillem Percolation on random graphs with a fixed degree sequence. (English) Zbl 1480.05116 SIAM J. Discrete Math. 36, No. 1, 1-46 (2022). MSC: 05C80 05C82 05D40 PDF BibTeX XML Cite \textit{N. Fountoulakis} et al., SIAM J. Discrete Math. 36, No. 1, 1--46 (2022; Zbl 1480.05116) Full Text: DOI arXiv OpenURL
Gao, YanLi; Chen, ShiMing; Zhou, Jie; Stanley, H. E.; Gao, Jianxi Percolation of edge-coupled interdependent networks. (English) Zbl 07462282 Physica A 580, Article ID 126136, 9 p. (2021). MSC: 82-XX PDF BibTeX XML Cite \textit{Y. Gao} et al., Physica A 580, Article ID 126136, 9 p. (2021; Zbl 07462282) Full Text: DOI OpenURL
Zhao, Xiaorong; Li, Shuping; Liu, Huafang Researches on the spread of epidemic disease with immunization based on bipartite networks. (Chinese. English summary) Zbl 1488.92083 J. North Univ. China, Nat. Sci. 42, No. 3, 200-206 (2021). MSC: 92D30 92C42 PDF BibTeX XML Cite \textit{X. Zhao} et al., J. North Univ. China, Nat. Sci. 42, No. 3, 200--206 (2021; Zbl 1488.92083) Full Text: DOI OpenURL
Janson, Svante; Warnke, Lutz Preferential attachment without vertex growth: emergence of the giant component. (English) Zbl 1477.05171 Ann. Appl. Probab. 31, No. 4, 1523-1547 (2021). MSC: 05C80 60C05 90B15 PDF BibTeX XML Cite \textit{S. Janson} and \textit{L. Warnke}, Ann. Appl. Probab. 31, No. 4, 1523--1547 (2021; Zbl 1477.05171) Full Text: DOI arXiv Link OpenURL
Zhang, Wenjun; Li, Wei; Deng, Weibing The characteristics of cycle-nodes-ratio and its application to network classification. (English) Zbl 1466.92064 Commun. Nonlinear Sci. Numer. Simul. 99, Article ID 105804, 14 p. (2021). MSC: 92C42 05C90 PDF BibTeX XML Cite \textit{W. Zhang} et al., Commun. Nonlinear Sci. Numer. Simul. 99, Article ID 105804, 14 p. (2021; Zbl 1466.92064) Full Text: DOI arXiv OpenURL
Kang, Mihyun; Missethan, Michael The giant component and 2-core in sparse random outerplanar graphs. (English) Zbl 07651057 Drmota, Michael (ed.) et al., 31st international conference on probabilistic, combinatorial and asymptotic methods for the analysis of algorithms, AofA 2020, Klagenfurt, Austria (virtual conference), June 15–19, 2020. Wadern: Schloss Dagstuhl – Leibniz Zentrum für Informatik. LIPIcs – Leibniz Int. Proc. Inform. 159, Article 18, 16 p. (2020). MSC: 68W40 PDF BibTeX XML Cite \textit{M. Kang} and \textit{M. Missethan}, LIPIcs -- Leibniz Int. Proc. Inform. 159, Article 18, 16 p. (2020; Zbl 07651057) Full Text: DOI arXiv OpenURL
Kang, Mihyun; Moßhammer, Michael; Sprüssel, Philipp Phase transitions in graphs on orientable surfaces. (English) Zbl 1451.05213 Random Struct. Algorithms 56, No. 4, 1117-1170 (2020). Reviewer: Yilun Shang (Newcastle) MSC: 05C80 PDF BibTeX XML Cite \textit{M. Kang} et al., Random Struct. Algorithms 56, No. 4, 1117--1170 (2020; Zbl 1451.05213) Full Text: DOI arXiv OpenURL
Janson, Svante Asymptotic normality in random graphs with given vertex degrees. (English) Zbl 1451.05212 Random Struct. Algorithms 56, No. 4, 1070-1116 (2020). Reviewer: David B. Penman (Colchester) MSC: 05C80 05C30 PDF BibTeX XML Cite \textit{S. Janson}, Random Struct. Algorithms 56, No. 4, 1070--1116 (2020; Zbl 1451.05212) Full Text: DOI arXiv OpenURL
Krivelevich, Michael; Lubetzky, Eyal; Sudakov, Benny Asymptotics in percolation on high-girth expanders. (English) Zbl 1455.05041 Random Struct. Algorithms 56, No. 4, 927-947 (2020). MSC: 05C48 05C42 05C12 05C80 60K35 PDF BibTeX XML Cite \textit{M. Krivelevich} et al., Random Struct. Algorithms 56, No. 4, 927--947 (2020; Zbl 1455.05041) Full Text: DOI arXiv OpenURL
Berzunza, Gabriel The existence of a giant cluster for percolation on large Crump-Mode-Jagers trees. (English) Zbl 1475.60164 Adv. Appl. Probab. 52, No. 1, 266-290 (2020). Reviewer: Alexander Iksanov (Kiev) MSC: 60J80 60K35 05C05 PDF BibTeX XML Cite \textit{G. Berzunza}, Adv. Appl. Probab. 52, No. 1, 266--290 (2020; Zbl 1475.60164) Full Text: DOI arXiv OpenURL
Nag Chowdhury, Sayantan; Majhi, Soumen; Ghosh, Dibakar; Prasad, Awadhesh Convergence of chaotic attractors due to interaction based on closeness. (English) Zbl 1481.37037 Phys. Lett., A 383, No. 35, Article ID 125997, 6 p. (2019). MSC: 37D45 37M25 34C15 PDF BibTeX XML Cite \textit{S. Nag Chowdhury} et al., Phys. Lett., A 383, No. 35, Article ID 125997, 6 p. (2019; Zbl 1481.37037) Full Text: DOI OpenURL
Cooley, Oliver; Fang, Wenjie; Del Giudice, Nicola; Kang, Mihyun Subcritical random hypergraphs, high-order components, and hypertrees. (English) Zbl 1433.05236 Mishna, Marni (ed.) et al., Proceedings of the 16th workshop on analytic algorithmics and combinatorics, ANALCO ’19, San Diego, CA, USA, January 6, 2019. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM). 111-118 (2019). MSC: 05C65 05C80 05C05 PDF BibTeX XML Cite \textit{O. Cooley} et al., in: Proceedings of the 16th workshop on analytic algorithmics and combinatorics, ANALCO '19, San Diego, CA, USA, January 6, 2019. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM). 111--118 (2019; Zbl 1433.05236) Full Text: DOI arXiv OpenURL
Frieze, Alan; Tkocz, Tomasz A note on log-concave random graphs. (English) Zbl 1419.05193 Electron. J. Comb. 26, No. 3, Research Paper P3.36, 9 p. (2019). MSC: 05C80 PDF BibTeX XML Cite \textit{A. Frieze} and \textit{T. Tkocz}, Electron. J. Comb. 26, No. 3, Research Paper P3.36, 9 p. (2019; Zbl 1419.05193) Full Text: arXiv Link OpenURL
Benjamini, Itai; Hermon, Jonathan Rapid social connectivity. (English) Zbl 1419.82053 Electron. J. Probab. 24, Paper No. 32, 35 p. (2019). Reviewer: E. Ahmed (Mansoura) MSC: 82C41 60K35 82B43 60J10 05C81 91D30 PDF BibTeX XML Cite \textit{I. Benjamini} and \textit{J. Hermon}, Electron. J. Probab. 24, Paper No. 32, 35 p. (2019; Zbl 1419.82053) Full Text: DOI arXiv Euclid OpenURL
Barbour, A. D.; Röllin, Adrian Central limit theorems in the configuration model. (English) Zbl 1466.60039 Ann. Appl. Probab. 29, No. 2, 1046-1069 (2019). MSC: 60F05 05C80 PDF BibTeX XML Cite \textit{A. D. Barbour} and \textit{A. Röllin}, Ann. Appl. Probab. 29, No. 2, 1046--1069 (2019; Zbl 1466.60039) Full Text: DOI arXiv Euclid OpenURL
Guo, Long; Ma, Ke; Luo, Zhong-Jie A physical pathway to understand individual’s labeling behavior in signed social networks. (English) Zbl 1405.91521 Phys. Lett., A 382, No. 44, 3147-3151 (2018). MSC: 91D30 PDF BibTeX XML Cite \textit{L. Guo} et al., Phys. Lett., A 382, No. 44, 3147--3151 (2018; Zbl 1405.91521) Full Text: DOI OpenURL
Roberts, Matthew I.; Şengül, Batı Exceptional times of the critical dynamical Erdős-Rényi graph. (English) Zbl 1405.05168 Ann. Appl. Probab. 28, No. 4, 2275-2308 (2018). Reviewer: Reinhardt Euler (Brest) MSC: 05C80 82C20 60F17 PDF BibTeX XML Cite \textit{M. I. Roberts} and \textit{B. Şengül}, Ann. Appl. Probab. 28, No. 4, 2275--2308 (2018; Zbl 1405.05168) Full Text: DOI arXiv Euclid OpenURL
Cooley, Oliver; Kang, Mihyun; Koch, Christoph The size of the giant high-order component in random hypergraphs. (English) Zbl 1401.05202 Random Struct. Algorithms 53, No. 2, 238-288 (2018). MSC: 05C65 05C80 PDF BibTeX XML Cite \textit{O. Cooley} et al., Random Struct. Algorithms 53, No. 2, 238--288 (2018; Zbl 1401.05202) Full Text: DOI OpenURL
Fountoulakis, Nikolaos; Müller, Tobias Law of large numbers for the largest component in a hyperbolic model of complex networks. (English) Zbl 1387.05236 Ann. Appl. Probab. 28, No. 1, 607-650 (2018). MSC: 05C80 05C82 60D05 82B43 PDF BibTeX XML Cite \textit{N. Fountoulakis} and \textit{T. Müller}, Ann. Appl. Probab. 28, No. 1, 607--650 (2018; Zbl 1387.05236) Full Text: DOI arXiv OpenURL
Ráth, Balázs A moment-generating formula for Erdős-Rényi component sizes. (English) Zbl 1391.60024 Electron. Commun. Probab. 23, Paper No. 24, 14 p. (2018). MSC: 60C05 60F05 82B26 05A15 PDF BibTeX XML Cite \textit{B. Ráth}, Electron. Commun. Probab. 23, Paper No. 24, 14 p. (2018; Zbl 1391.60024) Full Text: DOI arXiv Euclid OpenURL
Kang, Mihyun; Petrášek, Zdeněk [Noy, Marc] Random graphs: theory and applications, from nature to society and the brain. (Catalan. English summary) Zbl 1404.05195 Butll. Soc. Catalana Mat. 32, No. 2, 155-178 (2017). MSC: 05C80 05C90 PDF BibTeX XML Cite \textit{M. Kang} and \textit{Z. Petrášek}, Butll. Soc. Catalana Mat. 32, No. 2, 155--178 (2017; Zbl 1404.05195) Full Text: DOI OpenURL
Kang, M.; Moßhammer, M.; Sprüssel, P. Evolution of the giant component in graphs on orientable surfaces. (English) Zbl 1378.05186 Drmota, Michael (ed.) et al., Extended abstracts of the ninth European conference on combinatorics, graph theory and applications, EuroComb 2017, Vienna, Austria, August 28 – September 1, 2017. Amsterdam: Elsevier. Electronic Notes in Discrete Mathematics 61, 687-693 (2017). MSC: 05C80 PDF BibTeX XML Cite \textit{M. Kang} et al., Electron. Notes Discrete Math. 61, 687--693 (2017; Zbl 1378.05186) Full Text: DOI OpenURL
Dereich, Steffen; Mönch, Christian; Mörters, Peter Distances in scale free networks at criticality. (English) Zbl 1372.05208 Electron. J. Probab. 22, Paper No. 77, 38 p. (2017). MSC: 05C82 05C80 60C05 90B15 PDF BibTeX XML Cite \textit{S. Dereich} et al., Electron. J. Probab. 22, Paper No. 77, 38 p. (2017; Zbl 1372.05208) Full Text: DOI arXiv Euclid OpenURL
Jacob, Emmanuel; Mörters, Peter Robustness of scale-free spatial networks. (English) Zbl 1367.05194 Ann. Probab. 45, No. 3, 1680-1722 (2017). MSC: 05C80 05C82 05C75 60C05 90B15 PDF BibTeX XML Cite \textit{E. Jacob} and \textit{P. Mörters}, Ann. Probab. 45, No. 3, 1680--1722 (2017; Zbl 1367.05194) Full Text: DOI arXiv OpenURL
Latora, Vito; Nicosia, Vincenzo; Russo, Giovanni Complex networks: principles, methods and applications. (English) Zbl 1387.68003 Cambridge: Cambridge University Press (ISBN 978-1-107-10318-4/hbk; 978-1-316-21600-2/ebook). xxi, 559 p. (2017). Reviewer: Irina Ioana Mohorianu (Norwich) MSC: 68-01 05C80 05C82 68M11 68R10 90B10 91D30 92C42 PDF BibTeX XML Cite \textit{V. Latora} et al., Complex networks: principles, methods and applications. Cambridge: Cambridge University Press (2017; Zbl 1387.68003) Full Text: DOI OpenURL
Acan, Hüseyin; Pittel, Boris Formation of a giant component in the intersection graph of a random chord diagram. (English) Zbl 1362.05117 J. Comb. Theory, Ser. B 125, 33-79 (2017). MSC: 05C80 05A15 PDF BibTeX XML Cite \textit{H. Acan} and \textit{B. Pittel}, J. Comb. Theory, Ser. B 125, 33--79 (2017; Zbl 1362.05117) Full Text: DOI arXiv OpenURL
van der Hofstad, Remco; Nachmias, Asaf Hypercube percolation. (English) Zbl 1381.60119 J. Eur. Math. Soc. (JEMS) 19, No. 3, 725-814 (2017). Reviewer: Weiping Li (Stillwater) MSC: 60K35 82B43 05C80 PDF BibTeX XML Cite \textit{R. van der Hofstad} and \textit{A. Nachmias}, J. Eur. Math. Soc. (JEMS) 19, No. 3, 725--814 (2017; Zbl 1381.60119) Full Text: DOI OpenURL
Kang, Mihyun Giant components in random graphs. (English) Zbl 1354.05121 Beveridge, Andrew (ed.) et al., Recent trends in combinatorics. Cham: Springer (ISBN 978-3-319-24296-5/hbk; 978-3-319-24298-9/ebook). The IMA Volumes in Mathematics and its Applications 159, 235-256 (2016). MSC: 05C80 05C65 PDF BibTeX XML Cite \textit{M. Kang}, IMA Vol. Math. Appl. 159, 235--256 (2016; Zbl 1354.05121) Full Text: DOI OpenURL
Aldous, David The incipient giant component in bond percolation on general finite weighted graphs. (English) Zbl 1348.60136 Electron. Commun. Probab. 21, Paper No. 68, 9 p. (2016). MSC: 60K35 05C80 PDF BibTeX XML Cite \textit{D. Aldous}, Electron. Commun. Probab. 21, Paper No. 68, 9 p. (2016; Zbl 1348.60136) Full Text: DOI arXiv Euclid OpenURL
Pittel, Boris; Poole, Daniel Asymptotic distribution of the numbers of vertices and arcs of the giant strong component in sparse random digraphs. (English) Zbl 1348.05196 Random Struct. Algorithms 49, No. 1, 3-64 (2016). Reviewer: David B. Penman (Colchester) MSC: 05C80 05C20 05C42 PDF BibTeX XML Cite \textit{B. Pittel} and \textit{D. Poole}, Random Struct. Algorithms 49, No. 1, 3--64 (2016; Zbl 1348.05196) Full Text: DOI arXiv OpenURL
Penrose, Mathew D. The strong giant in a random digraph. (English) Zbl 1335.05164 J. Appl. Probab. 53, No. 1, 57-70 (2016). MSC: 05C80 60J85 92D30 PDF BibTeX XML Cite \textit{M. D. Penrose}, J. Appl. Probab. 53, No. 1, 57--70 (2016; Zbl 1335.05164) Full Text: DOI arXiv Euclid OpenURL
Cooley, Oliver; Kang, Mihyun; Koch, Christoph Evolution of high-order connected components in random hypergraphs. (English) Zbl 1346.05265 Nešetril, Jaroslav (ed.) et al., Extended abstracts of the eight European conference on combinatorics, graph theory and applications, EuroComb 2015, Bergen, Norway, August 31 – September 4, 2015. Amsterdam: Elsevier. Electronic Notes in Discrete Mathematics 49, 569-575, electronic only (2015). MSC: 05C80 05C65 05C40 PDF BibTeX XML Cite \textit{O. Cooley} et al., Electron. Notes Discrete Math. 49, 569--575 (2015; Zbl 1346.05265) Full Text: DOI arXiv OpenURL
Gamarnik, David; Misra, Sidhant Giant component in random multipartite graphs with given degree sequences. (English) Zbl 1358.05258 Stoch. Syst. 5, No. 2, 372-408 (2015). MSC: 05C80 60J80 PDF BibTeX XML Cite \textit{D. Gamarnik} and \textit{S. Misra}, Stoch. Syst. 5, No. 2, 372--408 (2015; Zbl 1358.05258) Full Text: DOI arXiv Euclid OpenURL
Fagnani, Fabio; Fosson, Sophie M.; Ravazzi, Chiara Some introductory notes on random graphs. (English) Zbl 1346.05268 Fagnani, Fabio (ed.) et al., Mathematical foundations of complex networked information systems. Lectures of the CIME course. Politecnico di Torino, Verrès, Italy 2009. Cham: Springer; Florence: Fondazione CIME (ISBN 978-3-319-16966-8/pbk; 978-3-319-16967-5/ebook). Lecture Notes in Mathematics 2141. CIME Foundation Subseries, 1-26 (2015). Reviewer: Nikolaos Fountoulakis (Edgbaston) MSC: 05C80 05C40 PDF BibTeX XML Cite \textit{F. Fagnani} et al., Lect. Notes Math. 2141, 1--26 (2015; Zbl 1346.05268) Full Text: DOI OpenURL
Jacob, Emmanuel; Mörters, Peter Robustness of spatial preferential attachment networks. (English) Zbl 1342.05163 Gleich, F. (ed.) et al., Algorithms and models for the web graph. 12th international workshop, WAW 2015, Eindhoven, The Netherlands, December 10–11, 2015. Proceedings. Cham: Springer (ISBN 978-3-319-26783-8/pbk; 978-3-319-26784-5/ebook). Lecture Notes in Computer Science 9479, 3-14 (2015). MSC: 05C82 05C80 68M11 68R10 PDF BibTeX XML Cite \textit{E. Jacob} and \textit{P. Mörters}, Lect. Notes Comput. Sci. 9479, 3--14 (2015; Zbl 1342.05163) Full Text: DOI OpenURL
Xhafa, Fatos; Sánchez, Christian; Barolli, Admir; Takizawa, Makoto Solving mesh router nodes placement problem in wireless mesh networks by tabu search algorithm. (English) Zbl 1328.68022 J. Comput. Syst. Sci. 81, No. 8, 1417-1428 (2015). MSC: 68M11 68M20 68T20 PDF BibTeX XML Cite \textit{F. Xhafa} et al., J. Comput. Syst. Sci. 81, No. 8, 1417--1428 (2015; Zbl 1328.68022) Full Text: DOI OpenURL
Bode, Michel; Fountoulakis, Nikolaos; Müller, Tobias On the largest component of a hyperbolic model of complex networks. (English) Zbl 1327.05301 Electron. J. Comb. 22, No. 3, Research Paper P3.24, 46 p. (2015). MSC: 05C80 05C82 PDF BibTeX XML Cite \textit{M. Bode} et al., Electron. J. Comb. 22, No. 3, Research Paper P3.24, 46 p. (2015; Zbl 1327.05301) Full Text: Link OpenURL
Berestycki, Nathanaël; Kozma, Gady Cycle structure of the interchange process and representation theory. (Structure des cycles dans le processus de transpositions et théorie des représentations.) (English. French summary) Zbl 1354.60113 Bull. Soc. Math. Fr. 143, No. 2, 265-281 (2015). Reviewer: Michael Stolz (Münster) MSC: 60K35 60B15 05E10 05C81 PDF BibTeX XML Cite \textit{N. Berestycki} and \textit{G. Kozma}, Bull. Soc. Math. Fr. 143, No. 2, 265--281 (2015; Zbl 1354.60113) Full Text: arXiv OpenURL
Bollobás, Béla; Riordan, Oliver An old approach to the giant component problem. (English) Zbl 1315.05123 J. Comb. Theory, Ser. B 113, 236-260 (2015). MSC: 05C80 PDF BibTeX XML Cite \textit{B. Bollobás} and \textit{O. Riordan}, J. Comb. Theory, Ser. B 113, 236--260 (2015; Zbl 1315.05123) Full Text: DOI arXiv OpenURL
Wassmer, Tobias Phase transition for the vacant set left by random walk on the giant component of a random graph. (English. French summary) Zbl 1312.05126 Ann. Inst. Henri Poincaré, Probab. Stat. 51, No. 2, 756-780 (2015). MSC: 05C81 05C80 60J10 60K35 PDF BibTeX XML Cite \textit{T. Wassmer}, Ann. Inst. Henri Poincaré, Probab. Stat. 51, No. 2, 756--780 (2015; Zbl 1312.05126) Full Text: DOI arXiv Euclid OpenURL
Britton, Tom; Trapman, Pieter Inferring global network properties from egocentric data with applications to epidemics. (English) Zbl 1332.91095 Math. Med. Biol. 32, No. 1, 99-112 (2015). Reviewer: Yilun Shang (Shanghai) MSC: 91D30 92D30 PDF BibTeX XML Cite \textit{T. Britton} and \textit{P. Trapman}, Math. Med. Biol. 32, No. 1, 99--112 (2015; Zbl 1332.91095) Full Text: DOI arXiv OpenURL
Bhamidi, Shankar; Budhiraja, Amarjit; Wang, Xuan Aggregation models with limited choice and the multiplicative coalescent. (English) Zbl 1307.05200 Random Struct. Algorithms 46, No. 1, 55-116 (2015). MSC: 05C80 60K35 PDF BibTeX XML Cite \textit{S. Bhamidi} et al., Random Struct. Algorithms 46, No. 1, 55--116 (2015; Zbl 1307.05200) Full Text: DOI OpenURL
Reidys, Christian M.; Yu Jin, Emma The evolution of the random reversal graph. (English) Zbl 1365.92068 Appl. Math. Comput. 227, 347-358 (2014). MSC: 92D10 92D15 05C90 PDF BibTeX XML Cite \textit{C. M. Reidys} and \textit{E. Yu Jin}, Appl. Math. Comput. 227, 347--358 (2014; Zbl 1365.92068) Full Text: DOI arXiv OpenURL
Blath, Jochen; Kadow, Stephan; Ortgiese, Marcel The largest strongly connected component in the cyclical pedigree model of Wakeley et al. (English) Zbl 1304.92105 Theor. Popul. Biol. 98, 28-37 (2014). MSC: 92D15 92D10 05C90 PDF BibTeX XML Cite \textit{J. Blath} et al., Theor. Popul. Biol. 98, 28--37 (2014; Zbl 1304.92105) Full Text: DOI arXiv OpenURL
Bhamidi, Shankar; Budhiraja, Amarjit; Wang, Xuan The augmented multiplicative coalescent, bounded size rules and critical dynamics of random graphs. (English) Zbl 1318.60012 Probab. Theory Relat. Fields 160, No. 3-4, 733-796 (2014). Reviewer: David B. Penman (Colchester) MSC: 60C05 05C80 90B15 PDF BibTeX XML Cite \textit{S. Bhamidi} et al., Probab. Theory Relat. Fields 160, No. 3--4, 733--796 (2014; Zbl 1318.60012) Full Text: DOI arXiv OpenURL
Benjamini, Itai; Kozma, Gady; Wormald, Nicholas The mixing time of the giant component of a random graph. (English) Zbl 1373.05172 Random Struct. Algorithms 45, No. 3, 383-407 (2014). Reviewer: David Conlon (Oxford) MSC: 05C80 05C81 PDF BibTeX XML Cite \textit{I. Benjamini} et al., Random Struct. Algorithms 45, No. 3, 383--407 (2014; Zbl 1373.05172) Full Text: DOI arXiv OpenURL
Bollobás, Béla; Riordan, Oliver The phase transition in the Erdős-Rényi random graph process. (English) Zbl 1293.05351 Lovász, László (ed.) et al., Erdős centennial. On the occasion of Paul Erdős 100th anniversary of his birth. Berlin: Springer; Budapest: János Bolyai Mathematical Society (ISBN 978-3-642-39285-6/hbk; 978-3-642-39286-3/ebook). Bolyai Society Mathematical Studies 25, 59-110 (2013). MSC: 05C80 PDF BibTeX XML Cite \textit{B. Bollobás} and \textit{O. Riordan}, Bolyai Soc. Math. Stud. 25, 59--110 (2013; Zbl 1293.05351) Full Text: DOI OpenURL
Romaguera, Antonio R.de C.; Silva, K. J. S. Variational method applied to two-component Ginzburg-Landau theory. (English) Zbl 1296.82069 J. Math. Phys. 54, No. 9, 093501, 22 p. (2013). Reviewer: I. A. Parinov (Rostov-na-Donu) MSC: 82D55 35Q56 PDF BibTeX XML Cite \textit{A. R. de C. Romaguera} and \textit{K. J. S. Silva}, J. Math. Phys. 54, No. 9, 093501, 22 p. (2013; Zbl 1296.82069) Full Text: DOI OpenURL
Seierstad, Taral Guldahl On the normality of giant components. (English) Zbl 1278.05226 Random Struct. Algorithms 43, No. 4, 452-485 (2013). MSC: 05C80 60F05 PDF BibTeX XML Cite \textit{T. G. Seierstad}, Random Struct. Algorithms 43, No. 4, 452--485 (2013; Zbl 1278.05226) Full Text: DOI OpenURL
Ganesan, Ghurumuruhan Size of the giant component in a random geometric graph. (English. French summary) Zbl 1283.60017 Ann. Inst. Henri Poincaré, Probab. Stat. 49, No. 4, 1130-1140 (2013). Reviewer: Ove Frank (Stockholm) MSC: 60D05 60C05 05C80 PDF BibTeX XML Cite \textit{G. Ganesan}, Ann. Inst. Henri Poincaré, Probab. Stat. 49, No. 4, 1130--1140 (2013; Zbl 1283.60017) Full Text: DOI Euclid OpenURL
Bertoin, Jean Almost giant clusters for percolation on large trees with logarithmic heights. (English) Zbl 1283.60119 J. Appl. Probab. 50, No. 3, 603-611 (2013). Reviewer: Aleksander Iksanov (Kiev) MSC: 60K35 05C05 PDF BibTeX XML Cite \textit{J. Bertoin}, J. Appl. Probab. 50, No. 3, 603--611 (2013; Zbl 1283.60119) Full Text: DOI arXiv Euclid OpenURL
Krivelevich, Michael; Sudakov, Benny The phase transition in random graphs: a simple proof. (English) Zbl 1272.05181 Random Struct. Algorithms 43, No. 2, 131-138 (2013). MSC: 05C80 91A43 PDF BibTeX XML Cite \textit{M. Krivelevich} and \textit{B. Sudakov}, Random Struct. Algorithms 43, No. 2, 131--138 (2013; Zbl 1272.05181) Full Text: DOI arXiv OpenURL
Yarmukhametov, A. R. Gigantic and small components in random distance graphs of special form. (English. Russian original) Zbl 1262.05141 Math. Notes 93, No. 2, 201-205 (2013); translation from Mat. Zametki 92, No. 6, 949-953 (2012). MSC: 05C80 05C12 60C05 PDF BibTeX XML Cite \textit{A. R. Yarmukhametov}, Math. Notes 93, No. 2, 201--205 (2013; Zbl 1262.05141); translation from Mat. Zametki 92, No. 6, 949--953 (2012) Full Text: DOI OpenURL
Dereich, Steffen; Mörters, Peter Random networks with sublinear preferential attachment: the giant component. (English) Zbl 1260.05143 Ann. Probab. 41, No. 1, 329-384 (2013). MSC: 05C80 05C82 60C05 90B15 PDF BibTeX XML Cite \textit{S. Dereich} and \textit{P. Mörters}, Ann. Probab. 41, No. 1, 329--384 (2013; Zbl 1260.05143) Full Text: DOI arXiv Euclid OpenURL
Bertoin, Jean Fires on trees. (English. French summary) Zbl 1263.60083 Ann. Inst. Henri Poincaré, Probab. Stat. 48, No. 4, 909-921 (2012). Reviewer: Valentin Topchii (Omsk) MSC: 60K35 60J80 PDF BibTeX XML Cite \textit{J. Bertoin}, Ann. Inst. Henri Poincaré, Probab. Stat. 48, No. 4, 909--921 (2012; Zbl 1263.60083) Full Text: DOI arXiv Euclid OpenURL
Janson, Svante; Spencer, Joel Phase transitions for modified Erdős–Rényi processes. (English) Zbl 1255.05175 Ark. Mat. 50, No. 2, 305-329 (2012). MSC: 05C80 PDF BibTeX XML Cite \textit{S. Janson} and \textit{J. Spencer}, Ark. Mat. 50, No. 2, 305--329 (2012; Zbl 1255.05175) Full Text: DOI arXiv OpenURL
Bloznelis, Mindaugas; Götze, Friedrich; Jaworski, Jerzy Birth of a strongly connected giant in an inhomogeneous random digraph. (English) Zbl 1252.05196 J. Appl. Probab. 49, No. 3, 601-611 (2012). MSC: 05C80 05C20 90B15 60J85 PDF BibTeX XML Cite \textit{M. Bloznelis} et al., J. Appl. Probab. 49, No. 3, 601--611 (2012; Zbl 1252.05196) Full Text: DOI arXiv Euclid OpenURL
Berestycki, Nathanaël; Pymar, Richard Effect of scale on long-range random graphs and chromosomal inversions. (English) Zbl 1248.05187 Ann. Appl. Probab. 22, No. 4, 1328-1361 (2012). MSC: 05C80 05C90 60K35 92D15 PDF BibTeX XML Cite \textit{N. Berestycki} and \textit{R. Pymar}, Ann. Appl. Probab. 22, No. 4, 1328--1361 (2012; Zbl 1248.05187) Full Text: DOI arXiv Euclid OpenURL
Horn, Paul; Radcliffe, Mary Giant components in Kronecker graphs. (English) Zbl 1238.05247 Random Struct. Algorithms 40, No. 3, 385-397 (2012). MSC: 05C80 05C82 PDF BibTeX XML Cite \textit{P. Horn} and \textit{M. Radcliffe}, Random Struct. Algorithms 40, No. 3, 385--397 (2012; Zbl 1238.05247) Full Text: DOI OpenURL
Bollobás, Béla; Riordan, Oliver Asymptotic normality of the size of the giant component via a random walk. (English) Zbl 1237.05192 J. Comb. Theory, Ser. B 102, No. 1, 53-61 (2012). MSC: 05C81 05C80 PDF BibTeX XML Cite \textit{B. Bollobás} and \textit{O. Riordan}, J. Comb. Theory, Ser. B 102, No. 1, 53--61 (2012; Zbl 1237.05192) Full Text: DOI arXiv OpenURL
Benjamini, Itai; Boucheron, Stéphane; Lugosi, Gábor; Rossignol, Raphaël Sharp threshold for percolation on expanders. (English) Zbl 1239.60090 Ann. Probab. 40, No. 1, 130-145 (2012). Reviewer: Anatoliy Pogorui (Zhytomyr) MSC: 60K35 05C80 PDF BibTeX XML Cite \textit{I. Benjamini} et al., Ann. Probab. 40, No. 1, 130--145 (2012; Zbl 1239.60090) Full Text: DOI arXiv OpenURL
Jin, Emma Yu; Reidys, Christian M. Random induced subgraphs of Cayley graphs induced by transpositions. (English) Zbl 1239.05089 Discrete Math. 311, No. 21, 2496-2511 (2011). MSC: 05C25 05C80 PDF BibTeX XML Cite \textit{E. Y. Jin} and \textit{C. M. Reidys}, Discrete Math. 311, No. 21, 2496--2511 (2011; Zbl 1239.05089) Full Text: DOI arXiv OpenURL
Ding, Jian; Kim, Jeong Han; Lubetzky, Eyal; Peres, Yuval Anatomy of a Young giant component in the random graph. (English) Zbl 1230.05260 Random Struct. Algorithms 39, No. 2, 139-178 (2011). MSC: 05C80 PDF BibTeX XML Cite \textit{J. Ding} et al., Random Struct. Algorithms 39, No. 2, 139--178 (2011; Zbl 1230.05260) Full Text: DOI arXiv OpenURL
Dereich, Steffen; Mörters, Peter Random networks with concave preferential attachment rule. (English) Zbl 1217.05206 Jahresber. Dtsch. Math.-Ver. 113, No. 1, 21-40 (2011). Reviewer: Nikolaos Fountoulakis (Edgbaston) MSC: 05C80 05C82 60C05 90B15 PDF BibTeX XML Cite \textit{S. Dereich} and \textit{P. Mörters}, Jahresber. Dtsch. Math.-Ver. 113, No. 1, 21--40 (2011; Zbl 1217.05206) Full Text: DOI OpenURL
Bohman, Tom; Frieze, Alan; Krivelevich, Michael; Loh, Po-Shen; Sudakov, Benny Ramsey games with giants. (English) Zbl 1215.05157 Random Struct. Algorithms 38, No. 1-2, 1-32 (2011). MSC: 05C80 05C82 05C55 05D10 91A43 PDF BibTeX XML Cite \textit{T. Bohman} et al., Random Struct. Algorithms 38, No. 1--2, 1--32 (2011; Zbl 1215.05157) Full Text: DOI arXiv OpenURL
Ding, Jian; Kim, Jeong Han; Lubetzky, Eyal; Peres, Yuval Diameters in supercritical random graphs via first passage percolation. (English) Zbl 1260.05048 Comb. Probab. Comput. 19, No. 5-6, 729-751 (2010). MSC: 05C12 05C80 60K35 PDF BibTeX XML Cite \textit{J. Ding} et al., Comb. Probab. Comput. 19, No. 5--6, 729--751 (2010; Zbl 1260.05048) Full Text: DOI arXiv OpenURL
Hruz, Tomas; Peter, Ueli Nongrowing preferential attachment random graphs. (English) Zbl 1237.05189 Internet Math. 6, No. 4, 461-487 (2010). MSC: 05C80 05C82 60C05 05C07 60J10 PDF BibTeX XML Cite \textit{T. Hruz} and \textit{U. Peter}, Internet Math. 6, No. 4, 461--487 (2010; Zbl 1237.05189) Full Text: DOI Euclid OpenURL
Amir, Gideon; Gurel-Gurevich, Ori; Lubetzky, Eyal; Singer, Amit Giant components in biased graph processes. (English) Zbl 1238.05240 Indiana Univ. Math. J. 59, No. 6, 1893-1930 (2010). MSC: 05C80 74H10 PDF BibTeX XML Cite \textit{G. Amir} et al., Indiana Univ. Math. J. 59, No. 6, 1893--1930 (2010; Zbl 1238.05240) Full Text: DOI arXiv Link OpenURL
Bloznelis, Mindaugas Component evolution in general random intersection graphs. (English) Zbl 1213.05235 SIAM J. Discrete Math. 24, No. 2, 639-654 (2010). MSC: 05C80 05C82 60J85 PDF BibTeX XML Cite \textit{M. Bloznelis}, SIAM J. Discrete Math. 24, No. 2, 639--654 (2010; Zbl 1213.05235) Full Text: DOI Link OpenURL
Bradonjić, Milan; Hagberg, Aric; Hengartner, Nicolas W.; Percus, Allon G. Component evolution in general random intersection graphs. (English) Zbl 1253.68041 Kumar, Ravi (ed.) et al., Algorithms and models for the web graph. 7th international workshop, WAW 2010, Stanford, CA, USA, December 16, 2010. Proceedings. Berlin: Springer (ISBN 978-3-642-18008-8/pbk). Lecture Notes in Computer Science 6516, 36-49 (2010). MSC: 68M11 05C80 05C82 60J85 68R10 PDF BibTeX XML Cite \textit{M. Bradonjić} et al., Lect. Notes Comput. Sci. 6516, 36--49 (2010; Zbl 1253.68041) Full Text: DOI arXiv OpenURL
Behrisch, Michael; Coja-Oghlan, Amin; Kang, Mihyun The order of the giant component of random hypergraphs. (English) Zbl 1208.05138 Random Struct. Algorithms 36, No. 2, 149-184 (2010). MSC: 05C82 05C80 05C65 PDF BibTeX XML Cite \textit{M. Behrisch} et al., Random Struct. Algorithms 36, No. 2, 149--184 (2010; Zbl 1208.05138) Full Text: DOI arXiv OpenURL
Durrett, Rick Random graph dynamics. Reprint of the 2007 hardback ed. (English) Zbl 1223.05002 Cambridge Series in Statistical and Probabilistic Mathematics 20. Cambridge: Cambridge University Press (ISBN 978-0-521-15016-3/pbk). ix, 210 p. (2010). Reviewer: Nikolaos Fountoulakis (Edgbaston) MSC: 05-02 05C80 60B20 05C07 05C12 PDF BibTeX XML Cite \textit{R. Durrett}, Random graph dynamics. Reprint of the 2007 hardback ed. Cambridge: Cambridge University Press (2010; Zbl 1223.05002) OpenURL
van der Hofstad, Remco; Luczak, Malwina J. Random subgraphs of the 2D Hamming graph: The supercritical phase. (English) Zbl 1188.05141 Probab. Theory Relat. Fields 147, No. 1-2, 1-41 (2010). Reviewer: David B. Penman (Colchester) MSC: 05C80 PDF BibTeX XML Cite \textit{R. van der Hofstad} and \textit{M. J. Luczak}, Probab. Theory Relat. Fields 147, No. 1--2, 1--41 (2010; Zbl 1188.05141) Full Text: DOI arXiv OpenURL
Pittel, Boris On a random graph evolving by degrees. (English) Zbl 1203.05140 Adv. Math. 223, No. 2, 619-671 (2010). Reviewer: Ove Frank (Stockholm) MSC: 05C80 60K35 PDF BibTeX XML Cite \textit{B. Pittel}, Adv. Math. 223, No. 2, 619--671 (2010; Zbl 1203.05140) Full Text: DOI OpenURL
Fountoulakis, Nikolaos; Reed, Bruce A general critical condition for the emergence of a giant component in random graphs with given degrees. (English) Zbl 1273.05201 Nešetřil, Jaroslav (ed.) et al., Extended abstracts of the 5th European conference on combinatorics, graph theory and applications, EuroComb’09, Bordeaux, France, September 7–11, 2009. Amsterdam: Elsevier. Electronic Notes in Discrete Mathematics 34, 639-645 (2009). MSC: 05C80 05C07 PDF BibTeX XML Cite \textit{N. Fountoulakis} and \textit{B. Reed}, Electron. Notes Discrete Math. 34, 639--645 (2009; Zbl 1273.05201) Full Text: DOI arXiv OpenURL
Spöhel, Reto; Steger, Angelika; Thomas, Henning Coloring the edges of a random graph without a monochromatic giant component. (English) Zbl 1273.05206 Nešetřil, Jaroslav (ed.) et al., Extended abstracts of the 5th European conference on combinatorics, graph theory and applications, EuroComb’09, Bordeaux, France, September 7–11, 2009. Amsterdam: Elsevier. Electronic Notes in Discrete Mathematics 34, 615-619 (2009). MSC: 05C80 05C15 PDF BibTeX XML Cite \textit{R. Spöhel} et al., Electron. Notes Discrete Math. 34, 615--619 (2009; Zbl 1273.05206) Full Text: DOI OpenURL
Drmota, Michael; Gittenberger, Bernhard Analytic combinatorics on random graphs. (English) Zbl 1256.05222 Dehmer, Matthias (ed.) et al., Analysis of complex networks. From biology to linguistics. Hoboken, NJ: John Wiley & Sons (ISBN 978-3-527-32345-6/hbk; 978-3-527-62798-1/ebook). 425-450 (2009). MSC: 05C80 05A99 05C05 05C10 05C40 PDF BibTeX XML Cite \textit{M. Drmota} and \textit{B. Gittenberger}, in: Analysis of complex networks. From biology to linguistics. Hoboken, NJ: John Wiley \& Sons. 425--450 (2009; Zbl 1256.05222) OpenURL
Zhao, Zhang-Rong; Wu, Yi-Jie; Gu, Xin-Jian; Zhang, Lei; Yang, Ji-Feng Multi-physics coupling field finite element analysis on giant magnetostrictive materials smart component. (English) Zbl 1177.78012 J. Zhejiang Univ., Sci. A 10, No. 5, 653-660 (2009). MSC: 78A30 74F15 78M10 74S10 PDF BibTeX XML Cite \textit{Z.-R. Zhao} et al., J. Zhejiang Univ., Sci. A 10, No. 5, 653--660 (2009; Zbl 1177.78012) Full Text: DOI OpenURL
Coja-Oghlan, Amin; Kang, Mihyun The evolution of the min-min random graph process. (English) Zbl 1187.05067 Discrete Math. 309, No. 13, 4527-4544 (2009). MSC: 05C80 PDF BibTeX XML Cite \textit{A. Coja-Oghlan} and \textit{M. Kang}, Discrete Math. 309, No. 13, 4527--4544 (2009; Zbl 1187.05067) Full Text: DOI OpenURL
Janson, Svante On percolation in random graphs with given vertex degrees. (English) Zbl 1189.60179 Electron. J. Probab. 14, 86-118 (2009). MSC: 60K35 60C05 05C80 PDF BibTeX XML Cite \textit{S. Janson}, Electron. J. Probab. 14, 86--118 (2009; Zbl 1189.60179) Full Text: DOI arXiv EuDML EMIS OpenURL
Reidys, Christian M. Large components in random induced subgraphs of \(n\)-cubes. (English) Zbl 1183.05074 Discrete Math. 309, No. 10, 3113-3124 (2009). Reviewer: David B. Penman (Colchester) MSC: 05C80 PDF BibTeX XML Cite \textit{C. M. Reidys}, Discrete Math. 309, No. 10, 3113--3124 (2009; Zbl 1183.05074) Full Text: DOI arXiv OpenURL
Shi, Yi Y.; Qian, Hong On the degree properties of generalized random graphs. (English) Zbl 1173.05042 Commun. Math. Sci. 7, No. 1, 175-187 (2009). MSC: 05C80 05C40 PDF BibTeX XML Cite \textit{Y. Y. Shi} and \textit{H. Qian}, Commun. Math. Sci. 7, No. 1, 175--187 (2009; Zbl 1173.05042) Full Text: DOI OpenURL
Cooper, Colin; Frieze, Alan Corrigendum: “The cover time of the giant component of a random graph”, Random Struct. Algorithms 32, No. 4, 401–439 (2008; Zbl 1157.05045). (English) Zbl 1177.05108 Random Struct. Algorithms 34, No. 2, 300-304 (2009). MSC: 05C80 60G50 PDF BibTeX XML Cite \textit{C. Cooper} and \textit{A. Frieze}, Random Struct. Algorithms 34, No. 2, 300--304 (2009; Zbl 1177.05108) Full Text: DOI OpenURL
Janson, Svante; Luczak, Malwina J. A new approach to the giant component problem. (English) Zbl 1177.05110 Random Struct. Algorithms 34, No. 2, 197-216 (2009). MSC: 05C80 05C07 PDF BibTeX XML Cite \textit{S. Janson} and \textit{M. J. Luczak}, Random Struct. Algorithms 34, No. 2, 197--216 (2009; Zbl 1177.05110) Full Text: DOI arXiv OpenURL
Chung, Fan; Horn, Paul; Lu, Linyuan The giant component in a random subgraph of a given graph. (English) Zbl 1207.05177 Avrachenkov, Konstantin (ed.) et al., Algorithms and models for the web-graph. 6th international workshop, WAW 2009, Barcelona, Spain, February 12–13, 2009. Proceedings. Berlin: Springer (ISBN 978-3-540-95994-6/pbk). Lecture Notes in Computer Science 5427, 38-49 (2009). MSC: 05C80 68R10 PDF BibTeX XML Cite \textit{F. Chung} et al., Lect. Notes Comput. Sci. 5427, 38--49 (2009; Zbl 1207.05177) Full Text: DOI OpenURL
Windisch, David Logarithmic components of the vacant set for random walk on a discrete torus. (English) Zbl 1191.60118 Electron. J. Probab. 13, 880-897 (2008). MSC: 60K35 60G50 82C41 05C80 PDF BibTeX XML Cite \textit{D. Windisch}, Electron. J. Probab. 13, 880--897 (2008; Zbl 1191.60118) Full Text: DOI arXiv EuDML EMIS OpenURL
Lyons, Russell; Peled, Ron; Schramm, Oded Growth of the number of spanning trees of the Erdős-Rényi giant component. (English) Zbl 1160.05336 Comb. Probab. Comput. 17, No. 5, 711-726 (2008). MSC: 05C80 05C05 05C30 PDF BibTeX XML Cite \textit{R. Lyons} et al., Comb. Probab. Comput. 17, No. 5, 711--726 (2008; Zbl 1160.05336) Full Text: DOI arXiv OpenURL
Pittel, Boris Edge percolation on a random regular graph of low degree. (English) Zbl 1160.05054 Ann. Probab. 36, No. 4, 1359-1389 (2008). Reviewer: Ove Frank (Stockholm) MSC: 05C80 60K35 82B27 60G42 82C20 PDF BibTeX XML Cite \textit{B. Pittel}, Ann. Probab. 36, No. 4, 1359--1389 (2008; Zbl 1160.05054) Full Text: DOI arXiv OpenURL
Fountoulakis, N.; Reed, B. A. The evolution of the mixing rate of a simple random walk on the giant component of a random graph. (English) Zbl 1147.60316 Random Struct. Algorithms 33, No. 1, 68-86 (2008). MSC: 60G50 05C80 PDF BibTeX XML Cite \textit{N. Fountoulakis} and \textit{B. A. Reed}, Random Struct. Algorithms 33, No. 1, 68--86 (2008; Zbl 1147.60316) Full Text: DOI OpenURL
Cooper, Colin; Frieze, Alan The cover time of the giant component of a random graph. (English) Zbl 1157.05045 Random Struct. Algorithms 32, No. 4, 401-439 (2008). Reviewer: David B. Penman (Colchester) MSC: 05C80 PDF BibTeX XML Cite \textit{C. Cooper} and \textit{A. Frieze}, Random Struct. Algorithms 32, No. 4, 401--439 (2008; Zbl 1157.05045) Full Text: DOI OpenURL
Prałat, Paweł The diameter of protean graphs. (English) Zbl 1153.05064 Discrete Math. 308, No. 15, 3399-3406 (2008). Reviewer: Ove Frank (Stockholm) MSC: 05C80 68R10 94C15 PDF BibTeX XML Cite \textit{P. Prałat}, Discrete Math. 308, No. 15, 3399--3406 (2008; Zbl 1153.05064) Full Text: DOI OpenURL
Alon, Noga; Spencer, Joel H. The probabilistic method. With an appendix on the life and work of Paul Erdős. 3rd ed. (English) Zbl 1148.05001 Wiley-Interscience Series in Discrete Mathematics and Optimization. Hoboken, NJ: John Wiley & Sons (ISBN 978-0-470-17020-5/hbk). xv, 352 p. (2008). Reviewer: J. W. Moon (Edmonton) MSC: 05-02 05D40 PDF BibTeX XML Cite \textit{N. Alon} and \textit{J. H. Spencer}, The probabilistic method. With an appendix on the life and work of Paul Erdős. 3rd ed. Hoboken, NJ: John Wiley \& Sons (2008; Zbl 1148.05001) OpenURL
Draief, Moez; Ganesh, Ayalvadi; Massoulié, Laurent Thresholds for virus spread on networks. (English) Zbl 1137.60051 Ann. Appl. Probab. 18, No. 2, 359-378 (2008). MSC: 60K35 05C80 60J85 90B15 PDF BibTeX XML Cite \textit{M. Draief} et al., Ann. Appl. Probab. 18, No. 2, 359--378 (2008; Zbl 1137.60051) Full Text: DOI arXiv OpenURL
Kang, M.; Seierstad, T. G. The critical phase for random graphs with a given degree sequence. (English) Zbl 1133.05092 Comb. Probab. Comput. 17, No. 1, 67-86 (2008). MSC: 05C80 05C07 PDF BibTeX XML Cite \textit{M. Kang} and \textit{T. G. Seierstad}, Comb. Probab. Comput. 17, No. 1, 67--86 (2008; Zbl 1133.05092) Full Text: DOI OpenURL
Spencer, Joel; Wormald, Nicholas Birth control for giants. (English) Zbl 1164.05062 Combinatorica 27, No. 5, 587-628 (2007). Reviewer: Ljuben Mutafchiev (Sofia) MSC: 05C80 91A43 PDF BibTeX XML Cite \textit{J. Spencer} and \textit{N. Wormald}, Combinatorica 27, No. 5, 587--628 (2007; Zbl 1164.05062) Full Text: DOI OpenURL
Bradonjić, Milan; Hagberg, Aric; Percus, Allon G. Giant component and connectivity in geographical threshold graphs. (English) Zbl 1136.05318 Bonato, Anthony (ed.) et al., Algorithms and models for the web-graph. 5th international workshop, WAW 2007, San Diego, CA, USA, December 11–12, 2007. Proceedings. Berlin: Springer (ISBN 978-3-540-77003-9/pbk). Lecture Notes in Computer Science 4863, 209-216 (2007). MSC: 05C80 05C40 68M10 PDF BibTeX XML Cite \textit{M. Bradonjić} et al., Lect. Notes Comput. Sci. 4863, 209--216 (2007; Zbl 1136.05318) Full Text: DOI OpenURL
Coja-Oghlan, Amin; Moore, Cristopher; Sanwalani, Vishal Counting connected graphs and hypergraphs via the probabilistic method. (English) Zbl 1129.05019 Random Struct. Algorithms 31, No. 3, 288-329 (2007). MSC: 05C30 05C80 05D40 05C65 PDF BibTeX XML Cite \textit{A. Coja-Oghlan} et al., Random Struct. Algorithms 31, No. 3, 288--329 (2007; Zbl 1129.05019) Full Text: DOI OpenURL