Timár, Ádám; Tóth, László Márton A full characterization of invariant embeddability of unimodular planar graphs. (English) Zbl 07811292 Random Struct. Algorithms 64, No. 2, 320-353 (2024). MSC: 05C10 05C83 05C80 05C60 60D05 PDFBibTeX XMLCite \textit{Á. Timár} and \textit{L. M. Tóth}, Random Struct. Algorithms 64, No. 2, 320--353 (2024; Zbl 07811292) Full Text: DOI arXiv
Slade, Gordon Self-avoiding walk on the hypercube. (English) Zbl 1522.05453 Random Struct. Algorithms 62, No. 3, 689-736 (2023). MSC: 05C81 05C65 60K35 PDFBibTeX XMLCite \textit{G. Slade}, Random Struct. Algorithms 62, No. 3, 689--736 (2023; Zbl 1522.05453) Full Text: DOI arXiv
Miermont, Grégory; Sen, Sanchayan On breadth-first constructions of scaling limits of random graphs and random unicellular maps. (English) Zbl 1522.05438 Random Struct. Algorithms 61, No. 4, 803-843 (2022). MSC: 05C80 60C05 60J05 PDFBibTeX XMLCite \textit{G. Miermont} and \textit{S. Sen}, Random Struct. Algorithms 61, No. 4, 803--843 (2022; Zbl 1522.05438) Full Text: DOI arXiv
Kolesnik, Brett Large deviations of the greedy independent set algorithm on sparse random graphs. (English) Zbl 07751080 Random Struct. Algorithms 61, No. 2, 353-363 (2022). Reviewer: Vladimír Lacko (Košice) MSC: 05C85 05C69 05C42 60F10 05C80 PDFBibTeX XMLCite \textit{B. Kolesnik}, Random Struct. Algorithms 61, No. 2, 353--363 (2022; Zbl 07751080) Full Text: DOI arXiv
Stufler, Benedikt Graphon convergence of random cographs. (English) Zbl 1526.05127 Random Struct. Algorithms 59, No. 3, 464-491 (2021). MSC: 05C80 PDFBibTeX XMLCite \textit{B. Stufler}, Random Struct. Algorithms 59, No. 3, 464--491 (2021; Zbl 1526.05127) Full Text: DOI arXiv OA License
McDiarmid, Colin; Scott, Alex; Withers, Paul The component structure of dense random subgraphs of the hypercube. (English) Zbl 07749476 Random Struct. Algorithms 59, No. 1, 3-24 (2021). Reviewer: Jean-Jil Duchamps (Besançon) MSC: 05C80 05C40 60C05 PDFBibTeX XMLCite \textit{C. McDiarmid} et al., Random Struct. Algorithms 59, No. 1, 3--24 (2021; Zbl 07749476) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{M. Krivelevich} et al., Random Struct. Algorithms 56, No. 4, 927--947 (2020; Zbl 1455.05041) Full Text: DOI arXiv
De Lima, Bernardo N. B.; Rolla, Leonardo T.; Valesin, Daniel Monotonicity and phase diagram for multirange percolation on oriented trees. (English) Zbl 1423.05044 Random Struct. Algorithms 55, No. 1, 160-172 (2019). MSC: 05C05 PDFBibTeX XMLCite \textit{B. N. B. De Lima} et al., Random Struct. Algorithms 55, No. 1, 160--172 (2019; Zbl 1423.05044) Full Text: DOI arXiv Link
Galanis, Andreas; Štefankovič, Daniel; Vigoda, Eric Swendsen-Wang algorithm on the mean-field Potts model. (English) Zbl 1412.82009 Random Struct. Algorithms 54, No. 1, 82-147 (2019). MSC: 82B20 82D40 65C40 82C20 05C80 05C85 60J10 PDFBibTeX XMLCite \textit{A. Galanis} et al., Random Struct. Algorithms 54, No. 1, 82--147 (2019; Zbl 1412.82009) Full Text: DOI
Bollobás, Béla; Riordan, Oliver Exploring hypergraphs with martingales. (English) Zbl 1364.05051 Random Struct. Algorithms 50, No. 3, 325-352 (2017). MSC: 05C65 05C80 60C05 PDFBibTeX XMLCite \textit{B. Bollobás} and \textit{O. Riordan}, Random Struct. Algorithms 50, No. 3, 325--352 (2017; Zbl 1364.05051) Full Text: DOI arXiv
Angel, Omer; Nachmias, Asaf; Ray, Gourab Random walks on stochastic hyperbolic half planar triangulations. (English) Zbl 1344.05127 Random Struct. Algorithms 49, No. 2, 213-234 (2016). MSC: 05C81 05C80 05C10 PDFBibTeX XMLCite \textit{O. Angel} et al., Random Struct. Algorithms 49, No. 2, 213--234 (2016; Zbl 1344.05127) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{B. Pittel} and \textit{D. Poole}, Random Struct. Algorithms 49, No. 1, 3--64 (2016; Zbl 1348.05196) Full Text: DOI arXiv
Curien, Nicolas; Miermont, Grégory Uniform infinite planar quadrangulations with a boundary. (English) Zbl 1351.60011 Random Struct. Algorithms 47, No. 1, 30-58 (2015). MSC: 60D05 60G50 60F05 05C10 05C30 PDFBibTeX XMLCite \textit{N. Curien} and \textit{G. Miermont}, Random Struct. Algorithms 47, No. 1, 30--58 (2015; Zbl 1351.60011) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{S. Bhamidi} et al., Random Struct. Algorithms 46, No. 1, 55--116 (2015; Zbl 1307.05200) Full Text: DOI
Cooper, Colin; Frieze, Alan; Lubetzky, Eyal Cover time of a random graph with a degree sequence. II: Allowing vertices of degree two. (English) Zbl 1320.05109 Random Struct. Algorithms 45, No. 4, 627-674 (2014). MSC: 05C80 05C07 PDFBibTeX XMLCite \textit{C. Cooper} et al., Random Struct. Algorithms 45, No. 4, 627--674 (2014; Zbl 1320.05109) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{I. Benjamini} et al., Random Struct. Algorithms 45, No. 3, 383--407 (2014; Zbl 1373.05172) Full Text: DOI arXiv
Casselgren, Carl Johan Coloring graphs from random lists of fixed size. (English) Zbl 1290.05072 Random Struct. Algorithms 44, No. 3, 317-327 (2014). MSC: 05C15 05C80 PDFBibTeX XMLCite \textit{C. J. Casselgren}, Random Struct. Algorithms 44, No. 3, 317--327 (2014; Zbl 1290.05072) Full Text: DOI Link
Turova, Tatyana S. Diffusion approximation for the components in critical inhomogeneous random graphs of rank 1. (English) Zbl 1278.05227 Random Struct. Algorithms 43, No. 4, 486-539 (2013). MSC: 05C80 PDFBibTeX XMLCite \textit{T. S. Turova}, Random Struct. Algorithms 43, No. 4, 486--539 (2013; Zbl 1278.05227) Full Text: DOI arXiv
Černý, Jiří; Teixeira, Augusto Critical window for the vacant set left by random walk on random regular graphs. (English) Zbl 1273.05209 Random Struct. Algorithms 43, No. 3, 313-337 (2013). MSC: 05C81 05C80 60G50 60K35 PDFBibTeX XMLCite \textit{J. Černý} and \textit{A. Teixeira}, Random Struct. Algorithms 43, No. 3, 313--337 (2013; Zbl 1273.05209) Full Text: DOI arXiv
Bollobás, Béla; Riordan, Oliver Asymptotic normality of the size of the giant component in a random hypergraph. (English) Zbl 1255.05125 Random Struct. Algorithms 41, No. 4, 441-450 (2012). MSC: 05C65 05C80 05C81 PDFBibTeX XMLCite \textit{B. Bollobás} and \textit{O. Riordan}, Random Struct. Algorithms 41, No. 4, 441--450 (2012; Zbl 1255.05125) Full Text: DOI arXiv
Hatami, Hamed; Molloy, Michael The scaling window for a random graph with a given degree sequence. (English) Zbl 1247.05218 Random Struct. Algorithms 41, No. 1, 99-123 (2012). MSC: 05C80 05C07 PDFBibTeX XMLCite \textit{H. Hatami} and \textit{M. Molloy}, Random Struct. Algorithms 41, No. 1, 99--123 (2012; Zbl 1247.05218) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{J. Ding} et al., Random Struct. Algorithms 39, No. 2, 139--178 (2011; Zbl 1230.05260) Full Text: DOI arXiv
Nachmias, Asaf; Peres, Yuval Critical percolation on random regular graphs. (English) Zbl 1209.05228 Random Struct. Algorithms 36, No. 2, 111-148 (2010). MSC: 05C80 PDFBibTeX XMLCite \textit{A. Nachmias} and \textit{Y. Peres}, Random Struct. Algorithms 36, No. 2, 111--148 (2010; Zbl 1209.05228) Full Text: DOI arXiv
van der Hofstad, Remco; Luczak, Malwina J.; Spencer, Joel The second largest component in the supercritical 2D Hamming graph. (English) Zbl 1208.05139 Random Struct. Algorithms 36, No. 1, 80-89 (2010). MSC: 05C82 05C80 PDFBibTeX XMLCite \textit{R. van der Hofstad} et al., Random Struct. Algorithms 36, No. 1, 80--89 (2010; Zbl 1208.05139) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{S. Janson} and \textit{M. J. Luczak}, Random Struct. Algorithms 34, No. 2, 197--216 (2009; Zbl 1177.05110) Full Text: DOI arXiv