## Random Structures & Algorithms

 Short Title: Random Struct. Algorithms Publisher: Wiley, New York, NY ISSN: 1042-9832; 1098-2418/e Online: http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1098-2418/issues Comments: Indexed cover-to-cover
 Documents Indexed: 1,476 Publications (since 1990) References Indexed: 1,103 Publications with 22,020 References.
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### Latest Issues

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### Authors

 69 Frieze, Alan Michael 49 Janson, Svante 44 Krivelevich, Michael 41 Bollobás, Béla 37 Sudakov, Benny 31 Rodl, Vojtech 26 Alon, Noga M. 25 Wormald, Nicholas Charles 23 Cooper, Colin 21 Pittel, Boris G. 20 Devroye, Luc P. J. A. 20 Łuczak, Tomasz 20 Riordan, Oliver Maxim 19 Kohayakawa, Yoshiharu 19 McDiarmid, Colin J. H. 18 Spencer, Joel H. 18 Vu, Van H. 17 Dyer, Martin E. 17 Steger, Angelika 14 Kahn, Jeff D. 14 Kang, Mihyun 13 Bohman, Tom 13 Ferber, Asaf 13 Kostochka, Aleksandr Vasil’evich 12 Balogh, József 12 Hwang, Hsien-Kuei 11 Balister, Paul N. 11 Chayes, Jennifer Tour 11 Feige, Uriel 11 Kim, Jeong Han 11 Reed, Bruce Alan 11 Vigoda, Eric 10 Borgs, Christian 10 Coja-Oghlan, Amin 10 Drmota, Michael 10 Gamarnik, David 10 Linial, Nathan 10 Lubetzky, Eyal 10 Mossel, Elchanan 10 Osthus, Deryk 10 Schacht, Mathias 9 Broutin, Nicolas 9 Goldreich, Oded 9 Luczak, Malwina J. 9 Peres, Yuval 9 van der Hofstad, Remco W. 8 Böttcher, Julia 8 Brightwell, Graham R. 8 Chung, Fan 8 Fountoulakis, Nikolaos 8 Greenhill, Catherine S. 8 Kühn, Daniela 8 Morris, Robert D. 8 Szabó, Tibor 8 Szpankowski, Wojciech 8 Tetali, Prasad 8 Winkler, Peter M. 7 Aldous, David John 7 Benjamini, Itai 7 Fill, James Allen 7 Flajolet, Philippe 7 Gao, Pu 7 Jaworski, Jerzy 7 Loh, Po-Shen 7 Louchard, Guy 7 Marckert, Jean-François 7 McKay, Brendan D. 7 Nenadov, Rajko 7 Panholzer, Alois 7 Pegden, Wesley 7 Pippenger, Nicholas J. 7 Prałat, Paweł 7 Prodinger, Helmut 7 Stojaković, Miloš 7 van den Berg, Rob 6 Conlon, David 6 Czumaj, Artur 6 Erdős, Pál 6 Fernandez de la Vega, Wenceslas 6 Flaxman, Abraham D. 6 Fox, Jacob 6 Friedgut, Ehud 6 Häggström, Olle 6 Håstad, Johan Torkel 6 Hefetz, Dan 6 Hitczenko, Paweł 6 Karp, Richard Manning 6 Mubayi, Dhruv 6 Nagle, Brendan 6 Neininger, Ralph 6 Ron, Dana 6 Ruciński, Andrzej 6 Schmutz, Eric 6 Shapira, Asaf 6 Smythe, Robert T. 6 Sorkin, Gregory B. 6 Srinivasan, Aravind 6 Warnke, Lutz 5 Barbour, Andrew David 5 Chern, Huahuai ...and 1,326 more Authors
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### Fields

 1,053 Combinatorics (05-XX) 559 Probability theory and stochastic processes (60-XX) 302 Computer science (68-XX) 62 Operations research, mathematical programming (90-XX) 55 Statistical mechanics, structure of matter (82-XX) 43 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 34 Information and communication theory, circuits (94-XX) 27 Statistics (62-XX) 26 Linear and multilinear algebra; matrix theory (15-XX) 24 Convex and discrete geometry (52-XX) 24 Numerical analysis (65-XX) 22 Mathematical logic and foundations (03-XX) 21 Order, lattices, ordered algebraic structures (06-XX) 19 Number theory (11-XX) 16 General and overarching topics; collections (00-XX) 12 Biology and other natural sciences (92-XX) 9 Group theory and generalizations (20-XX) 6 Geometry (51-XX) 6 Algebraic topology (55-XX) 5 Dynamical systems and ergodic theory (37-XX) 3 History and biography (01-XX) 3 Special functions (33-XX) 3 Functional analysis (46-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 Field theory and polynomials (12-XX) 2 Real functions (26-XX) 2 Approximations and expansions (41-XX) 2 Operator theory (47-XX) 2 Manifolds and cell complexes (57-XX) 1 Algebraic geometry (14-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Partial differential equations (35-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Quantum theory (81-XX)

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The complexity of counting graph homomorphisms. Zbl 0965.68073
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Homological connectivity of random $$k$$-dimensional complexes. Zbl 1177.55011
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Random Cayley graphs and expanders. Zbl 0798.05048
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Problems and results on judicious partitions. Zbl 1013.05059
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Randomized broadcast in networks. Zbl 0712.68011
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Almost all regular graphs are Hamiltonian. Zbl 0795.05088
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Random walks and an $$O^*(n^5)$$ volume algorithm for convex bodies. Zbl 0895.60075
Kannan, Ravi; Lovász, László; Simonovits, Miklós
1997
The $$\zeta(2)$$ limit in the random assignment problem. Zbl 0993.60018
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2001
The infamous upper tail. Zbl 0996.60023
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2002
Note on the heights of random recursive trees and random $$m$$-ary search trees. Zbl 0790.05077
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1994
Asymptotic analysis of a random walk on a hypercube with many dimensions. Zbl 0723.60085
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1990
Survey propagation: an algorithm for satisfiability. Zbl 1087.68126
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Invertibility of symmetric random matrices. Zbl 1291.15088
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2014
Bootstrap percolation on the random regular graph. Zbl 1106.60076
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2007
Spectral techniques applied to sparse random graphs. Zbl 1076.05073
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2005
The transitive closure of a random digraph. Zbl 0712.68076
Karp, Richard M.
1990
Almost all cubic graphs are Hamiltonian. Zbl 0755.05075
Robinson, R. W.; Wormald, N. C.
1992
Local resilience of graphs. Zbl 1182.05114
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2008
On random $$\pm 1$$ matrices: Singularity and determinant. Zbl 1086.60008
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2006
Sparse random graphs: eigenvalues and eigenvectors. Zbl 1257.05089
Tran, Linh V.; Vu, Van H.; Wang, Ke
2013
The geometry of logconcave functions and sampling algorithms. Zbl 1122.65012
Lovász, László; Vempala, Santosh
2007
Finding a large hidden clique in a random graph. Zbl 0959.05082
Alon, Noga; Krivelevich, Michael; Sudakov, Benny
1998
An algorithmic approach to the Lovász local lemma. I. Zbl 0756.05080
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1991
Large cliques elude the Metropolis process. Zbl 0754.60018
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1992
Random maps, coalescing saddles, singularity analysis, and Airy phenomena. Zbl 1016.68179
Banderier, Cyril; Flajolet, Philippe; Schaeffer, Gilles; Soria, Michèle
2001
Excluding induced subgraphs. III: A general asymptotic. Zbl 0751.05041
Prömel, H. J.; Steger, A.
1992
A few logs suffice to build (almost) all trees. I. Zbl 0945.60004
Erdős, Péter L.; Steel, Michael A.; Székely, László A.; Warnow, Tandy J.
1999
Factors in random graphs. Zbl 1146.05040
Johansson, Anders; Kahn, Jeff; Vu, Van
2008
Approximating the unsatisfiability threshold of random formulas. Zbl 0936.68038
Kirousis, Lefteris M.; Kranakis, Evangelos; Krizanc, Danny; Stamatiou, Yannis C.
1998
A tight upper bound on the cover time for random walks on graphs. Zbl 0811.60060
Feige, Uriel
1995
Systems of functional equations. Zbl 0869.39010
Drmota, Michael
1997
Three theorems regarding testing graph properties. Zbl 1048.68062
Goldreich, Oded; Trevisan, Luca
2003
Random cutting and records in deterministic and random trees. Zbl 1120.05083
Janson, Svante
2006
The scaling window of the 2-SAT transition. Zbl 0979.68053
Bollobás, Béla; Borgs, Christian; Chayes, Jennifer T.; Kim, Jeong Han; Wilson, David B.
2001
Testing subgraphs in large graphs. Zbl 1027.68095
Alon, Noga
2002
A new approach to the giant component problem. Zbl 1177.05110
Janson, Svante; Luczak, Malwina J.
2009
Degrees and choice numbers. Zbl 0958.05049
Alon, Noga
2000
A tight lower bound on the cover time for random walks on graphs. Zbl 0832.60016
Feige, Uriel
1995
An exponential lower bound to the size of bounded depth Frege proofs of the pigeonhole principle. Zbl 0843.03032
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1995
Nearest neighbor and hard sphere models in continuum percolation. Zbl 0866.60088
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1996
Dependent random choice. Zbl 1215.05159
Fox, Jacob; Sudakov, Benny
2011
Random trees and general branching processes. Zbl 1144.60051
Rudas, Anna; Tóth, Bálint; Valkó, Benedek
2007
2+p-SAT: Relation of typical-case complexity to the nature of the phase transition. Zbl 0931.68056
Monasson, Rémi; Zecchina, Riccardo; Kirkpatrick, Scott; Selman, Bart; Troyansky, Lidror
1999
Distances in random graphs with finite variance degrees. Zbl 1074.05083
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2005
On tree census and the giant component in sparse random graphs. Zbl 0747.05080
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1990
A sharp concentration inequality with applications. Zbl 0954.60008
Boucheron, Stéphane; Lugosi, Gábor; Massart, Pascal
2000
On the structure of random plane-oriented recursive trees and their branches. Zbl 0773.05040
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1993
Quasi-random hypergraphs. Zbl 0708.05044
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1990
Random disease on the square grid. Zbl 0964.60006
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1998
Cores in random hypergraphs and Boolean formulas. Zbl 1068.05063
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2005
Random subgraphs of finite graphs. I: The scaling window under the triangle condition. Zbl 1076.05071
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2005
The strong chromatic index of $$C_4$$-free graphs. Zbl 0961.05022
2000
Maximum hitting time for random walks on graphs. Zbl 0744.05044
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1990
Simple Markov-chain algorithms for generating bipartite graphs and tournaments. Zbl 0933.05145
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1999
A sharp threshold for $$k$$-colorability. Zbl 0962.05055
Achlioptas, Dimitris; Friedgut, Ehud
1999
Random regular graphs of high degree. Zbl 0996.05106
Krivelevich, Michael; Sudakov, Benny; Vu, Van H.; Wormald, Nicholas C.
2001
Asymptotic degree distribution in random recursive trees. Zbl 1059.05094
Janson, Svante
2005
Properly colored subgraphs and rainbow subgraphs in edge-colorings with local constraints. Zbl 1037.05033
Alon, Noga; Jiang, Tao; Miller, Zevi; Pritikin, Dan
2003
Large deviations for sums of partly dependent random variables. Zbl 1044.60021
Janson, Svante
2004
A parallel algorithmic version of the local lemma. Zbl 0768.05086
Alon, Noga
1991
Randomly coloring sparse random graphs with fewer colors than the maximum degree. Zbl 1115.05030
Dyer, Martin; Flaxman, Abraham D.; Frieze, Alan M.; Vigoda, Eric
2006
Properly colored Hamilton cycles in edge-colored complete graphs. Zbl 0882.05084
Alon, N.; Gutin, Gregory
1997
On replica symmetry of large deviations in random graphs. Zbl 1348.05195
Lubetzky, Eyal; Zhao, Yufei
2015
Counting without sampling: Asymptotics of the log-partition function for certain statistical physics models. Zbl 1157.82006
Bandyopadhyay, Antar; Gamarnik, David
2008
Tail bounds for occupancy and the satisfiability threshold conjecture. Zbl 0834.68051
Kamath, Anil; Motwani, Rajeev; Palem, Krishna; Spirakis, Paul
1995
Mixing in time and space for lattice spin systems: a combinatorial view. Zbl 1126.82021
Dyer, Martin; Sinclair, Alistair; Vigoda, Eric; Weitz, Dror
2004
Asymptotic random graph intuition for the biased connectivity game. Zbl 1198.91050
Gebauer, Heidi; Szabó, Tibor
2009
Concentration and regularization of random graphs. Zbl 1373.05179
Le, Can M.; Levina, Elizaveta; Vershynin, Roman
2017
Ramsey properties of random discrete structures. Zbl 1228.05284
Friedgut, Ehud; Rödl, Vojtěch; Schacht, Mathias
2010
Local resilience of almost spanning trees in random graphs. Zbl 1215.05154
Balogh, József; Csaba, Béla; Samotij, Wojciech
2011
An algorithmic version of the blow-up lemma. Zbl 0917.05071
Komlós, János; Sárközy, Gabor N.; Szemerédi, Endre
1998
A simple and linear time randomized algorithm for computing sparse spanners in weighted graphs. Zbl 1118.68582
Baswana, Surender; Sen, Sandeep
2007
Applications of the regularity lemma for uniform hypergraphs. Zbl 1087.05031
Rödl, Vojtěch; Skokan, Jozef
2006
On variants of the Johnson-Lindenstrauss Lemma. Zbl 1154.51002
Matoušek, Jiří
2008
Algorithms for graph partitioning on the planted partition model. Zbl 0972.68129
Condon, Anne; Karp, Richard M.
2001
Avoiding a giant component. Zbl 0986.05091
Bohman, Tom; Frieze, Alan
2001
The vertex degree distribution of random intersection graphs. Zbl 1042.05091
Stark, Dudley
2004
Limit theorems for combinatorial structures via discrete process approximations. Zbl 0758.60009
Arratia, Richard; Tavaré, Simon
1992
Critical percolation on random regular graphs. Zbl 1209.05228
Nachmias, Asaf; Peres, Yuval
2010
New approach to nonrepetitive sequences. Zbl 1349.68131
Grytczuk, Jarosław; Kozik, Jakub; Micek, Piotr
2013
Permutations with fixed pattern densities. Zbl 1442.05008
Kenyon, Richard; Král&rsquo;, Daniel; Radin, Charles; Winkler, Peter
2020
Powers of Hamiltonian cycles in randomly augmented graphs. Zbl 1444.05080
Dudek, Andrzej; Reiher, Christian; Ruciński, Andrzej; Schacht, Mathias
2020
A graphon approach to limiting spectral distributions of Wigner-type matrices. Zbl 1442.05214
Zhu, Yizhe
2020
Rainbow structures in locally bounded colorings of graphs. Zbl 1450.05070
Kim, Jaehoon; Kühn, Daniela; Kupavskii, Andrey; Osthus, Deryk
2020
Condensation in preferential attachment models with location-based choice. Zbl 1455.05070
Haslegrave, John; Jordan, Jonathan; Yarrow, Mark
2020
Swendsen-Wang dynamics for general graphs in the tree uniqueness region. Zbl 1436.05104
Blanca, Antonio; Chen, Zongchen; Vigoda, Eric
2020
Almost all trees are almost graceful. Zbl 1456.05134
Adamaszek, Anna; Allen, Peter; Grosu, Codruţ; Hladký, Jan
2020
Size of nodal domains of the eigenvectors of a $$G(n,p)$$ graph. Zbl 1453.05060
Huang, Han; Rudelson, Mark
2020
Invertibility via distance for noncentered random matrices with continuous distributions. Zbl 1456.60028
Tikhomirov, Konstantin
2020
Rapid mixing of the switch Markov chain for strongly stable degree sequences. Zbl 1456.60175
Amanatidis, Georgios; Kleer, Pieter
2020
Coloring triangle-free graphs with local list sizes. Zbl 1464.05148
Davies, Ewan; de Verclos, Rémi de Joannis; Kang, Ross J.; Pirot, François
2020
Finding cliques using few probes. Zbl 1442.05207
Feige, Uriel; Gamarnik, David; Neeman, Joe; Rácz, Miklós Z.; Tetali, Prasad
2020
Semi-random graph process. Zbl 1442.05203
Ben-Eliezer, Omri; Hefetz, Dan; Kronenberg, Gal; Parczyk, Olaf; Shikhelman, Clara; Stojaković, Miloš
2020
Random graphs with given vertex degrees and switchings. Zbl 1451.05211
Janson, Svante
2020
A rainbow blow-up lemma. Zbl 1458.05067
Glock, Stefan; Joos, Felix
2020
Resolution of a conjecture on majority dynamics: rapid stabilization in dense random graphs. Zbl 1454.05109
Fountoulakis, Nikolaos; Kang, Mihyun; Makai, Tamás
2020
On the weight distribution of random binary linear codes. Zbl 1475.94193
Linial, Nati; Mosheiff, Jonathan
2020
Spanning trees in randomly perturbed graphs. Zbl 1444.05132
Joos, Felix; Kim, Jaehoon
2020
The combinatorics of the colliding bullets. Zbl 1446.60008
Broutin, Nicolas; Marckert, Jean-François
2020
Limiting shape of the depth first search tree in an Erdős-Rényi graph. Zbl 1436.05096
Enriquez, Nathanaël; Faraud, Gabriel; Ménard, Laurent
2020
Quasi-polynomial mixing of critical two-dimensional random cluster models. Zbl 1453.82043
Gheissari, Reza; Lubetzky, Eyal
2020
Phase transitions of the Moran process and algorithmic consequences. Zbl 1444.92072
Goldberg, Leslie Ann; Lapinskas, John; Richerby, David
2020
Geometry of the vacant set left by random walk on random graphs, Wright’s constants, and critical random graphs with prescribed degrees. Zbl 1445.05096
Bhamidi, Shankar; Sen, Sanchayan
2020
Further results on random cubic planar graphs. Zbl 1445.05095
Noy, Marc; Requilé, Clément; Rué, Juanjo
2020
Eigenvector delocalization for non-Hermitian random matrices and applications. Zbl 1448.15046
Luh, Kyle; O&rsquo;Rourke, Sean
2020
Modularity of Erdős-Rényi random graphs. Zbl 1452.05168
McDiarmid, Colin; Skerman, Fiona
2020
Sharp thresholds for nonlinear Hamiltonian cycles in hypergraphs. Zbl 1472.05088
Narayanan, Bhargav; Schacht, Mathias
2020
Shotgun assembly of random jigsaw puzzles. Zbl 1450.05023
Bordenave, Charles; Feige, Uriel; Mossel, Elchanan
2020
Tight bounds for popping algorithms. Zbl 1453.62542
Guo, Heng; He, Kun
2020
Diameter of P.A. random graphs with edge-step functions. Zbl 1462.05322
Alves, Caio; Ribeiro, Rodrigo; Sanchis, Rémy
2020
Every planar graph with the Liouville property is amenable. Zbl 1453.31015
Carmesin, Johannes; Georgakopoulos, Agelos
2020
Vertex Ramsey properties of randomly perturbed graphs. Zbl 1454.05075
Das, Shagnik; Morris, Patrick; Treglown, Andrew
2020
On connectivity, conductance and bootstrap percolation for a random $$K$$-out, age-biased graph. Zbl 1444.05130
Acan, Hüseyin; Pittel, Boris
2020
The genus of the Erdős-Rényi random graph and the fragile genus property. Zbl 1443.05171
Dowden, Chris; Kang, Mihyun; Krivelevich, Michael
2020
Vanishing of cohomology groups of random simplicial complexes. Zbl 1436.05095
Cooley, Oliver; Del Giudice, Nicola; Kang, Mihyun; Sprüssel, Philipp
2020
Slightly subcritical hypercube percolation. Zbl 1436.60081
Hulshof, Tim; Nachmias, Asaf
2020
Connectivity of a general class of inhomogeneous random digraphs. Zbl 1453.82005
Cao, Junyu; Olvera-Cravioto, Mariana
2020
Random tree recursions: which fixed points correspond to tangible sets of trees? Zbl 1445.05028
Johnson, Tobias; Podder, Moumanti; Skerman, Fiona
2020
The chromatic number of random Borsuk graphs. Zbl 1442.05210
Kahle, Matthew; Martinez-Figueroa, Francisco
2020
Minimalist designs. Zbl 1451.05159
Barber, Ben; Glock, Stefan; Kühn, Daniela; Lo, Allan; Montgomery, Richard; Osthus, Deryk
2020
New bounds for the Moser-Tardos distribution. Zbl 1451.05240
Harris, David G.
2020
On Hamilton cycles in Erdős-Rényi subgraphs of large graphs. Zbl 1451.05132
Johansson, Tony
2020
Asymptotics in percolation on high-girth expanders. Zbl 1455.05041
Krivelevich, Michael; Lubetzky, Eyal; Sudakov, Benny
2020
Asymptotic normality in random graphs with given vertex degrees. Zbl 1451.05212
Janson, Svante
2020
Phase transitions in graphs on orientable surfaces. Zbl 1451.05213
Kang, Mihyun; Moßhammer, Michael; Sprüssel, Philipp
2020
Judiciously 3-partitioning 3-uniform hypergraphs. Zbl 1450.05062
Spink, Hunter; Tiba, Marius
2020
1-factorizations of pseudorandom graphs. Zbl 1453.05100
Ferber, Asaf; Jain, Vishesh
2020
The real tau-conjecture is true on average. Zbl 07279068
Briquel, Irénée; Bürgisser, Peter
2020
Recursive functions on conditional Galton-Watson trees. Zbl 07279069
Broutin, Nicolas; Devroye, Luc; Fraiman, Nicolas
2020
Hyperuniform and rigid stable matchings. Zbl 1456.60121
Klatt, Michael Andreas; Last, Günter; Yogeshwaran, D.
2020
Constrained percolation, Ising model, and XOR Ising model on planar lattices. Zbl 1453.82036
Li, Zhongyang
2020
Projections of the Aldous chain on binary trees: intertwining and consistency. Zbl 1453.05134
Forman, Noah; Pal, Soumik; Rizzolo, Douglas; Winkel, Matthias
2020
Information percolation and cutoff for the random-cluster model. Zbl 1453.82077
Ganguly, Shirshendu; Seo, Insuk
2020
On-line balancing of random inputs. Zbl 1454.91051
Bansal, Nikhil; Spencer, Joel H.
2020
Characterization of quasirandom permutations by a pattern sum. Zbl 1454.05007
Chan, Timothy F. N.; Král&rsquo;, Daniel; Noel, Jonathan A.; Pehova, Yanitsa; Sharifzadeh, Maryam; Volec, Jan
2020
Short proofs of some extremal results. III. Zbl 1454.05056
Conlon, David; Fox, Jacob; Sudakov, Benny
2020
Ramsey, paper, scissors. Zbl 1454.91048
Fox, Jacob; He, Xiaoyu; Wigderson, Yuval
2020
Asymptotic normality of the number of corners in tableaux associated with the partially asymmetric simple exclusion process. Zbl 1454.05123
Hitczenko, Paweł; Yaroslavskiy, Aleksandr
2020
Sharp bounds for the variance of linear statistics on random permutations. Zbl 1456.60034
Manstavičius, Eugenijus
2020
Hypergraph coloring up to condensation. Zbl 1417.05057
Ayre, Peter; Coja-Oghlan, Amin; Greenhill, Catherine
2019
The Johansson-Molloy theorem for DP-coloring. Zbl 1417.05059
Bernshteyn, Anton
2019
Resilience of perfect matchings and Hamiltonicity in random graph processes. Zbl 1417.05189
Nenadov, Rajko; Steger, Angelika; Trujić, Miloš
2019
Powers of tight Hamilton cycles in randomly perturbed hypergraphs. Zbl 1433.05178
Bedenknecht, Wiebke; Han, Jie; Kohayakawa, Yoshiharu; Mota, Guilherme O.
2019
Patterns in random permutations avoiding the pattern 321. Zbl 1423.60026
Janson, Svante
2019
Rainbow matchings in Dirac bipartite graphs. Zbl 1426.05137
Coulson, Matthew; Perarnau, Guillem
2019
Universality for bounded degree spanning trees in randomly perturbed graphs. Zbl 1433.05275
Böttcher, Julia; Han, Jie; Kohayakawa, Yoshiharu; Montgomery, Richard; Parczyk, Olaf; Person, Yury
2019
Monochromatic paths in random tournaments. Zbl 1405.05158
Bucić, Matija; Letzter, Shoham; Sudakov, Benny
2019
Powers of Hamilton cycles in random graphs and tight Hamilton cycles in random hypergraphs. Zbl 1405.05167
Nenadov, Rajko; Škorić, Nemanja
2019
Multicolor containers, extremal entropy, and counting. Zbl 1417.05104
Falgas-Ravry, Victor; O&rsquo;Connell, Kelly; Uzzell, Andrew
2019
A counterexample to the DeMarco-Kahn upper tail conjecture. Zbl 1433.05285
Šileikis, Matas; Warnke, Lutz
2019
Sharp asymptotic for the chemical distance in long-range percolation. Zbl 1428.05164
Biskup, Marek; Lin, Jeffrey
2019
Component structure of the configuration model: barely supercritical case. Zbl 1425.05145
van der Hofstad, Remco; Janson, Svante; Luczak, Malwina
2019
Uniform random colored complexes. Zbl 1428.05098
Carrance, Ariane
2019
On polynomial approximations to $$\mathrm{AC}^0$$. Zbl 1421.68055
Harsha, Prahladh; Srinivasan, Srikanth
2019
The size Ramsey number of short subdivisions of bounded degree graphs. Zbl 1409.05136
Kohayakawa, Yoshiharu; Retter, Troy; Rödl, Vojtěch
2019
Random Čech complexes on Riemannian manifolds. Zbl 1414.05318
Bobrowski, Omer; Oliveira, Goncalo
2019
On densities for solutions to stochastic fixed point equations. Zbl 1454.60017
Leckey, Kevin
2019
Most edge-orderings of $$K_{n}$$ have maximal altitude. Zbl 1414.05268
Martinsson, Anders
2019
Rapid mixing of hypergraph independent sets. Zbl 1417.05147
Hermon, Jonathan; Sly, Allan; Zhang, Yumeng
2019
Asymptotically optimal bound on the adjacent vertex distinguishing edge choice number. Zbl 1417.05072
Kwaśny, Jakub; Przybyło, Jakub
2019
Fractional clique decompositions of dense graphs. Zbl 1416.05232
Montgomery, Richard
2019
The continuum random tree is the scaling limit of unlabeled unrooted trees. Zbl 1426.05153
Stufler, Benedikt
2019
Spatial mixing and nonlocal Markov chains. Zbl 1427.60150
Blanca, Antonio; Caputo, Pietro; Sinclair, Alistair; Vigoda, Eric
2019
Enumeration and randomized constructions of hypertrees. Zbl 1433.05340
Linial, Nati; Peled, Yuval
2019
Geometry of large Boltzmann outerplanar maps. Zbl 1428.05286
Stefánsson, Sigurdur Örn; Stufler, Benedikt
2019
Perfect matchings and Hamiltonian cycles in the preferential attachment model. Zbl 1417.05188
Frieze, Alan; Pérez-Giménez, Xavier; Prałat, Paweł; Reiniger, Benjamin
2019
A new combinatorial representation of the additive coalescent. Zbl 1409.05103
Marckert, Jean-François; Wang, Minmin
2019
Law of the iterated logarithm for random graphs. Zbl 1405.05159
Ferber, Asaf; Montealegre, Daniel; Vu, Van
2019
Swendsen-Wang algorithm on the mean-field Potts model. Zbl 1412.82009
Galanis, Andreas; Štefankovič, Daniel; Vigoda, Eric
2019
Graph limits of random graphs from a subset of connected $$k$$-trees. Zbl 1423.05152
Drmota, Michael; Jin, Emma Yu; Stufler, Benedikt
2019
Monotonicity and phase diagram for multirange percolation on oriented trees. Zbl 1423.05044
De Lima, Bernardo N. B.; Rolla, Leonardo T.; Valesin, Daniel
2019
Tunneling of the hard-core model on finite triangular lattices. Zbl 1423.82018
Zocca, Alessandro
2019
An optimal $$(\varepsilon,\delta)$$-randomized approximation scheme for the mean of random variables with bounded relative variance. Zbl 1423.60007
Huber, Mark
2019
Asymmetry and structural information in preferential attachment graphs. Zbl 1440.05071
Łuczak, Tomasz; Magner, Abram; Szpankowski, Wojciech
2019
Fluctuations in a general preferential attachment model via Stein’s method. Zbl 1433.05273
Betken, Carina; Döring, Hanna; Ortgiese, Marcel
2019
On the threshold problem for Latin boxes. Zbl 1439.05040
Luria, Zur; Simkin, Michael
2019
Competition in growth and urns. Zbl 1423.60148
Ahlberg, Daniel; Griffiths, Simon; Janson, Svante; Morris, Robert
2019
Diameter in ultra-small scale-free random graphs. Zbl 1414.05098
Caravenna, Francesco; Garavaglia, Alessandro; van der Hofstad, Remco
2019
Packing and counting arbitrary Hamilton cycles in random digraphs. Zbl 1414.05265
Ferber, Asaf; Long, Eoin
2019
Water transport on infinite graphs. Zbl 1414.05204
Häggström, Olle; Hirscher, Timo
2019
...and 1191 more Documents
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### Cited by 8,304 Authors

 103 Sudakov, Benny 91 Frieze, Alan Michael 88 Krivelevich, Michael 87 Janson, Svante 70 Alon, Noga M. 61 van der Hofstad, Remco W. 60 Bollobás, Béla 58 Rodl, Vojtech 54 Balogh, József 49 Kohayakawa, Yoshiharu 49 Shabanov, Dmitry A. 46 Mahmoud, Hosam M. 44 Wormald, Nicholas Charles 42 Fox, Jacob 41 Osthus, Deryk 41 Vu, Van H. 40 Coja-Oghlan, Amin 40 Pittel, Boris G. 38 Cooper, Colin 38 Kang, Mihyun 38 Schacht, Mathias 37 Ferber, Asaf 36 Kühn, Daniela 36 Mubayi, Dhruv 36 Peres, Yuval 35 Goldberg, Leslie Ann 33 Prałat, Paweł 33 Sly, Allan 32 Goldreich, Oded 31 Bhamidi, Shankar 31 Conlon, David 30 Devroye, Luc P. J. A. 30 Hou, Jianfeng 30 Łuczak, Tomasz 30 Yuster, Raphael 29 Mossel, Elchanan 29 Steger, Angelika 28 Lubetzky, Eyal 27 Addario-Berry, Louigi 27 Dudek, Andrzej 27 Kostochka, Aleksandr Vasil’evich 27 McDiarmid, Colin J. H. 27 Morris, Robert D. 27 Riordan, Oliver Maxim 26 Person, Yury Aleksandrovic 26 Tao, Terence 25 Kang, Ross J. 25 Shapira, Asaf 24 Jerrum, Mark R. 24 Panholzer, Alois 24 Samotij, Wojciech 23 Böttcher, Julia 23 Chung, Fan 23 Dyer, Martin E. 23 Greenhill, Catherine S. 23 Panagiotou, Konstantinos D. 23 Prodinger, Helmut 23 Sauerwald, Thomas 22 Drmota, Michael 22 Mitsche, Dieter 22 Müller, Tobias M. 22 Noy, Marc 22 Sarkozy, Gabor N. 22 Taraz, Anusch 21 Barvinok, Alexander I. 21 Diaconis, Persi Warren 21 Ruciński, Andrzej 21 Vigoda, Eric 20 Broutin, Nicolas 20 Fountoulakis, Nikolaos 20 Gamarnik, David 20 Kahn, Jeff D. 20 Perarnau, Guillem 20 Rué, Juanjo 20 Zhao, Yufei 19 Hwang, Hsien-Kuei 19 Penrose, Mathew D. 19 Pikhurko, Oleg 19 Ron, Dana 19 Scott, Alexander D. 19 Sinclair, Alistair 18 Benjamini, Itai 18 Bertoin, Jean 18 Bohman, Tom 18 Galanis, Andreas 18 Iksanov, Aleksander M. 18 Kwan, Matthew 18 Linial, Nathan 18 Loh, Po-Shen 18 Neininger, Ralph 18 Nenadov, Rajko 18 Pach, János 18 Reed, Bruce Alan 18 Spencer, Joel H. 18 Warnke, Lutz 17 Borgs, Christian 17 Chayes, Jennifer Tour 17 Curien, Nicolas 17 Friedrich, Tobias 17 Hefetz, Dan ...and 8,204 more Authors
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### Cited in 581 Journals

 479 Random Structures & Algorithms 315 Discrete Mathematics 306 Combinatorics, Probability and Computing 291 Theoretical Computer Science 217 The Annals of Applied Probability 210 Discrete Applied Mathematics 199 The Electronic Journal of Combinatorics 190 The Annals of Probability 188 European Journal of Combinatorics 181 Journal of Statistical Physics 179 Journal of Combinatorial Theory. Series B 158 SIAM Journal on Discrete Mathematics 135 Probability Theory and Related Fields 108 Journal of Applied Probability 107 SIAM Journal on Computing 106 Algorithmica 106 Stochastic Processes and their Applications 105 Combinatorica 104 Advances in Applied Probability 97 Graphs and Combinatorics 94 Journal of Combinatorial Theory. Series A 87 Information Processing Letters 79 Journal of Graph Theory 76 Electronic Journal of Probability 73 Journal of Computer and System Sciences 70 Israel Journal of Mathematics 68 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 67 Statistics & Probability Letters 65 The Annals of Statistics 61 Advances in Mathematics 61 Advances in Applied Mathematics 61 Linear Algebra and its Applications 58 Discrete & Computational Geometry 54 Bernoulli 54 Journal of Combinatorial Optimization 52 Communications in Mathematical Physics 51 Transactions of the American Mathematical Society 48 Computational Complexity 46 Journal of Statistical Mechanics: Theory and Experiment 38 Proceedings of the American Mathematical Society 37 Physica A 35 Information and Computation 34 Journal of Theoretical Probability 34 Distributed Computing 34 Annals of Combinatorics 32 Electronic Communications in Probability 32 Theory of Computing Systems 31 Journal of Mathematical Sciences (New York) 31 Journal of Machine Learning Research (JMLR) 31 Electronic Journal of Statistics 30 ALEA. Latin American Journal of Probability and Mathematical Statistics 28 Geometric and Functional Analysis. GAFA 28 Methodology and Computing in Applied Probability 27 Journal of Mathematical Physics 26 Journal of Mathematical Biology 23 Applied Mathematics and Computation 23 Doklady Mathematics 23 Annals of Mathematics. Second Series 23 Journal of Discrete Algorithms 21 Duke Mathematical Journal 21 Journal of Computational and Applied Mathematics 21 Journal of the American Mathematical Society 20 Internet Mathematics 19 European Journal of Operational Research 19 Mathematical Programming. Series A. Series B 18 Mathematical Biosciences 18 Journal of Functional Analysis 17 Mathematics of Operations Research 17 Journal of Theoretical Biology 17 Discrete Analysis 16 Bulletin of the American Mathematical Society. New Series 15 Mathematical Notes 15 Annals of Pure and Applied Logic 15 Discussiones Mathematicae. Graph Theory 15 Acta Mathematica Sinica. English Series 15 Computer Science Review 14 Acta Mathematica Hungarica 14 Probability in the Engineering and Informational Sciences 14 Stochastic Models 14 Probability Surveys 14 Random Matrices: Theory and Applications 14 Forum of Mathematics, Sigma 13 Artificial Intelligence 13 Inventiones Mathematicae 13 Queueing Systems 13 Annals of Operations Research 13 International Journal of Foundations of Computer Science 13 Designs, Codes and Cryptography 13 Proceedings of the National Academy of Sciences of the United States of America 13 Computational Statistics and Data Analysis 13 Chaos 13 Statistics and Computing 12 Journal of Mathematical Analysis and Applications 12 Linear and Multilinear Algebra 12 Bulletin of Mathematical Biology 12 Journal of Number Theory 12 The Journal of Symbolic Logic 12 Operations Research 12 Physica D 12 Journal of the European Mathematical Society (JEMS) ...and 481 more Journals
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### Cited in 62 Fields

 4,690 Combinatorics (05-XX) 2,692 Probability theory and stochastic processes (60-XX) 1,964 Computer science (68-XX) 687 Statistical mechanics, structure of matter (82-XX) 560 Operations research, mathematical programming (90-XX) 515 Statistics (62-XX) 373 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 309 Numerical analysis (65-XX) 289 Linear and multilinear algebra; matrix theory (15-XX) 288 Information and communication theory, circuits (94-XX) 286 Biology and other natural sciences (92-XX) 243 Number theory (11-XX) 187 Convex and discrete geometry (52-XX) 141 Mathematical logic and foundations (03-XX) 127 Group theory and generalizations (20-XX) 116 Dynamical systems and ergodic theory (37-XX) 88 Order, lattices, ordered algebraic structures (06-XX) 87 Functional analysis (46-XX) 78 Measure and integration (28-XX) 78 Quantum theory (81-XX) 56 Algebraic topology (55-XX) 41 Manifolds and cell complexes (57-XX) 41 Systems theory; control (93-XX) 38 Geometry (51-XX) 35 Partial differential equations (35-XX) 29 Operator theory (47-XX) 29 Differential geometry (53-XX) 25 Ordinary differential equations (34-XX) 24 Approximations and expansions (41-XX) 22 Calculus of variations and optimal control; optimization (49-XX) 20 Harmonic analysis on Euclidean spaces (42-XX) 20 Global analysis, analysis on manifolds (58-XX) 19 Real functions (26-XX) 17 Algebraic geometry (14-XX) 17 Special functions (33-XX) 16 Difference and functional equations (39-XX) 16 General topology (54-XX) 15 General and overarching topics; collections (00-XX) 12 Commutative algebra (13-XX) 12 Topological groups, Lie groups (22-XX) 12 Functions of a complex variable (30-XX) 11 History and biography (01-XX) 11 Abstract harmonic analysis (43-XX) 10 Fluid mechanics (76-XX) 9 Field theory and polynomials (12-XX) 9 Mechanics of deformable solids (74-XX) 8 Relativity and gravitational theory (83-XX) 7 Potential theory (31-XX) 5 Associative rings and algebras (16-XX) 5 Sequences, series, summability (40-XX) 5 Integral transforms, operational calculus (44-XX) 5 Geophysics (86-XX) 4 General algebraic systems (08-XX) 4 Integral equations (45-XX) 4 Mechanics of particles and systems (70-XX) 3 Nonassociative rings and algebras (17-XX) 3 Category theory; homological algebra (18-XX) 2 Several complex variables and analytic spaces (32-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Astronomy and astrophysics (85-XX) 1 Mathematics education (97-XX)