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Bollobás, Béla

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Author ID: bollobas.bela Recent zbMATH articles by "Bollobás, Béla"
Published as: Bollobás, Béla; Bollobas, Bela; Bollobás, B.; Bollobas, B.; Bollobás, Bela; Bollabás, Béla; Bollobàs, Bela; Bollobas, Béla; Boolobás, Béla
Homepage: https://www.memphis.edu/msci/people/bollobas.php
External Links: MGP · Wikidata · ResearchGate · dblp · GND · MacTutor
Documents Indexed: 512 Publications since 1962, including 31 Books
Biographic References: 2 Publications
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Co-Authors

125 single-authored
58 Riordan, Oliver Maxim
53 Balister, Paul N.
29 Balogh, József
29 Leader, Imre
24 Scott, Alexander D.
21 Morris, Robert D.
20 Brightwell, Graham R.
19 Thomason, Andrew G.
18 Erdős, Pál
13 Janson, Svante
12 Nikiforov, Vladimir S.
12 Walters, Mark
11 Alon, Noga M.
11 Kohayakawa, Yoshiharu
8 Sarkar, Amites
8 Smith, Paul
7 Frieze, Alan Michael
7 Narayanan, Bhargav P.
6 Jin, Guoping
6 Sahasrabudhe, Julian
6 Schelp, Richard Herbert
5 Borgs, Christian
5 Chayes, Jennifer Tour
5 Cockayne, Ernest J.
5 Eldridge, Stephen E.
5 Fenner, Trevor I.
5 Simonovits, Miklós
5 Stacey, Alan M.
5 Weinreich, David
4 Arratia, Richard Alejandro
4 Gerke, Stefanie
4 Kozma, Robert Thijs
4 Krivelevich, Michael
4 Lee, Jonathan D.
4 Łuczak, Tomasz
4 Sorkin, Gregory B.
4 Tiba, Marius
4 Wegener, Ingo
3 Coppersmith, Don
3 Furedi, Zoltan
3 Gunderson, Karen
3 Harary, Frank
3 Kim, Jeong Han
3 Kostochka, Aleksandr Vasil’evich
3 Lehel, Jeno
3 Przykucki, Michał
3 Radcliffe, Andrew John
3 Simon, Istvan
3 Sudakov, Benny
3 Szabó, Tamás T.
3 Szemerédi, Endre
3 Uzzell, Andrew J.
2 Baker, Alan
2 Berger, Noam
2 Catlin, Paul A.
2 Chung Graham, Fan-Rong King
2 Duchet, Pierre
2 Duminil-Copin, Hugo
2 Eccles, Tom
2 Elkin, Michael
2 Freeman, Walter J.
2 Gyárfás, András
2 Häggkvist, Roland
2 Hajnal, András
2 Holmgren, Cecilia Ingrid
2 Kindler, Guy
2 Letzter, Shoham
2 Morayne, Michał
2 Nakprasit, Kittikorn
2 O’Donnell, Ryan
2 Pebody, Luke
2 Puljic, Marko
2 Quas, Anthony Nicholas
2 Rothvoß, Thomas
2 Rousseau, Cecil C.
2 Saito, Akira
2 Spencer, Joel H.
2 Thomassen, Carsten
2 Welzl, Emo
2 West, Douglas Brent
1 Albertson, Michael O.
1 Arora, Sanjeev
1 Balla, Igor
1 Ballister, P. N.
1 Bartal, Yair
1 Bermond, Jean-Claude
1 Bertuzzo, Enrico
1 Bohman, Tom
1 Broder, Andrei Z.
1 Caldarelli, Guido
1 Clark, Lane H.
1 Cooley, Oliver
1 Cooper, Colin
1 Cutler, Jonathan
1 Das, Gautam Kumar
1 Daykin, David E.
1 Egawa, Yoshimi
1 Faudree, Ralph Jasper jun.
1 Fernandez de la Vega, Wenceslas
1 Frank, Ove
...and 85 more Co-Authors
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Serials

43 Discrete Mathematics
41 Random Structures & Algorithms
37 Journal of Combinatorial Theory. Series B
27 European Journal of Combinatorics
19 Combinatorica
19 Combinatorics, Probability and Computing
18 Journal of Graph Theory
16 Journal of Combinatorial Theory. Series A
10 SIAM Journal on Discrete Mathematics
9 Bulletin of the London Mathematical Society
9 Journal of the London Mathematical Society. Second Series
8 Transactions of the American Mathematical Society
8 The Electronic Journal of Combinatorics
7 Discrete Applied Mathematics
7 Israel Journal of Mathematics
7 Probability Theory and Related Fields
6 Mathematical Proceedings of the Cambridge Philosophical Society
5 Advances in Applied Probability
5 Proceedings of the London Mathematical Society. Third Series
4 The Annals of Probability
4 Studia Scientiarum Mathematicarum Hungarica
4 The Annals of Applied Probability
4 Elemente der Mathematik
4 Oberwolfach Reports
3 Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio Mathematica
3 Ars Combinatoria
3 Canadian Journal of Mathematics
3 Internet Mathematics
3 Annals of Discrete Mathematics
3 Graduate Texts in Mathematics
2 Acta Mathematica Academiae Scientiarum Hungaricae
2 American Mathematical Monthly
2 Studia Mathematica
2 Algebra Universalis
2 Journal of Applied Probability
2 Journal of Number Theory
2 Matematikai Lapok
2 Proceedings of the American Mathematical Society
2 The Quarterly Journal of Mathematics. Oxford Second Series
2 SIAM Journal on Computing
2 Theoretical Computer Science
2 Utilitas Mathematica
2 Journal of Algorithms
2 Acta Mathematica Hungarica
2 Graphs and Combinatorics
2 Annals of Mathematics. Second Series
2 Proceedings of the Cambridge Philosophical Society
2 Bolyai Society Mathematical Studies
2 Cambridge Mathematical Textbooks
1 Acta Universitatis Carolinae. Mathematica et Physica
1 Biological Cybernetics
1 Bulletin of the Australian Mathematical Society
1 Computers & Mathematics with Applications
1 Communications in Mathematical Physics
1 Journal of Statistical Physics
1 Mitteilungen der Deutschen Mathematiker-Vereinigung (DMV)
1 Periodica Mathematica Hungarica
1 Physica A
1 Wissenschaftliche Zeitschrift der Technischen Hochschule Ilmenau
1 Mathematics of Computation
1 Mathematics Magazine
1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
1 Acta Arithmetica
1 Advances in Mathematics
1 Archiv der Mathematik
1 Canadian Mathematical Bulletin
1 Illinois Journal of Mathematics
1 Journal of the Association for Computing Machinery
1 Journal of Computer and System Sciences
1 Mathematische Annalen
1 The Mathematical Scientist
1 Operations Research Letters
1 Order
1 Algorithmica
1 Proceedings of the National Academy of Sciences of the United States of America
1 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
1 Comptes Rendus de l’Académie des Sciences. Série I
1 Journal of Knot Theory and its Ramifications
1 The Australasian Journal of Combinatorics
1 Congressus Numerantium
1 Nordic Journal of Computing
1 Journal of Combinatorial Designs
1 Electronic Journal of Probability
1 Documenta Mathematica
1 RAIRO. Theoretical Informatics and Applications
1 Journal of Combinatorial Theory
1 Bulletin Société Mathématique de Grèce. Nouvelle Série
1 Cambridge Studies in Advanced Mathematics
1 London Mathematical Society Lecture Note Series
1 London Mathematical Society Monographs
1 Proceedings of Symposia in Applied Mathematics
1 Regional Conference Series in Mathematics
1 Algebra & Number Theory
1 Theory of Computing
1 Forum of Mathematics, Sigma

Publications by Year

Citations contained in zbMATH Open

419 Publications have been cited 7,728 times in 5,670 Documents Cited by Year
Modern graph theory. Zbl 0902.05016
Bollobás, Béla
609
1998
Extremal graph theory. Zbl 0419.05031
Bollobas, Bela
424
1978
Random graphs. Zbl 0567.05042
Bollobás, Béla
360
1985
Random graphs. 2nd ed. Zbl 0979.05003
Bollobás, Béla
325
2001
A probabilistic proof of an asymptotic formula for the number of labelled regular graphs. Zbl 0457.05038
Bollobas, Bela
219
1980
The phase transition in inhomogeneous random graphs. Zbl 1123.05083
Bollobàs, Bela; Janson, Svante; Riordan, Oliver
165
2007
Paths in graphs. Zbl 0997.05049
Bollobás, B.; Sarkar, A.
159
2001
Graphs of extremal weights. Zbl 0963.05068
Bollobás, Béla; Erdős, Paul
149
1998
The degree sequence of a scale-free random graph process. Zbl 0985.05047
Bollobás, Béla; Riordan, Oliver; Spencer, Joel; Tusnády, Gábor
133
2001
On generalized graphs. Zbl 0138.19404
Bollobás, B.
126
1965
Graph-theoretic parameters concerning domination, independence, and irredundance. Zbl 0418.05049
Bollobas, B.; Cockayne, E. J.
116
1979
Graph theory. An introductory course. Zbl 0411.05032
Bollobas, Bela
113
1979
Extremal graph theory. Reprint of the 1978 original. Zbl 1099.05044
Bollobás, Béla
93
2004
Combinatorics. Set systems, hypergraphs, families of vectors and combinatorial probability. Zbl 0595.05001
Bollobás, Béla
86
1986
The chromatic number of random graphs. Zbl 0666.05033
Bollobás, Béla
83
1988
Cliques in random graphs. Zbl 0344.05155
Bollobás, Béla; Erdős, Paul
75
1976
Percolation. Zbl 1118.60001
Bollobás, Béla; Riordan, Oliver
75
2006
The diameter of a scale-free random graph. Zbl 1047.05038
Bollobás, B.; Riordan, O.
74
2004
An extension to the theorem of Bishop and Phelps. Zbl 0217.45104
Bollobás, B.
72
1970
The evolution of random graphs. Zbl 0579.05046
Bollobás, Béla
72
1984
A polynomial of graphs on surfaces. Zbl 1004.05021
Bollobás, Béla; Riordan, Oliver
64
2002
The sharp threshold for bootstrap percolation in all dimensions. Zbl 1238.60108
Balogh, József; Bollobás, Béla; Duminil-Copin, Hugo; Morris, Robert
61
2012
Problems and results on judicious partitions. Zbl 1013.05059
Bollobás, B.; Scott, A. D.
55
2002
Packings of graphs and applications to computational complexity. Zbl 0387.05020
Bollobás, Béla; Eldridge, Stephen E.
52
1978
A polynomial invariant of graphs on orientable surfaces. Zbl 1015.05024
Bollobás, Béla; Riordan, Oliver
51
2001
Threshold functions for small subgraphs. Zbl 0475.05074
Bollobas, Bela
50
1981
Projections of bodies and hereditary properties of hypergraphs. Zbl 0836.05072
Bollobás, Béla; Thomason, Andrew
48
1995
Threshold functions. Zbl 0648.05048
Bollobás, Béla; Thomason, A.
48
1987
Directed scale-free graphs. Zbl 1094.68605
Bollobás, Béla; Borgs, Christian; Chayes, Jennifer; Riordan, Oliver
47
2003
A Tutte polynomial for coloured graphs. Zbl 0926.05017
Bollobás, Béla; Riordan, Oliver
44
1999
The critical probability for random Voronoi percolation in the plane is 1/2. Zbl 1100.60054
Bollobás, Béla; Riordan, Oliver
44
2006
Sets of independent edges of a hypergraph. Zbl 0337.05135
Bollobás, Béla; Daykin, D. E.; Erdős, Paul
43
1976
Bootstrap percolation in three dimensions. Zbl 1187.60082
Balogh, József; Bollobás, Béla; Morris, Robert
42
2009
Edge-isoperimetric inequalities in the grid. Zbl 0755.05045
Bollobás, Béla; Leader, Imre
42
1991
The isoperimetric number of random regular graphs. Zbl 0673.05086
Bollobás, Béla
42
1988
Bootstrap percolation on the hypercube. Zbl 1087.60068
Balogh, József; Bollobás, Béla
40
2006
Extremal graph theory. Zbl 0844.05054
Bollobás, Béla
39
1995
Hereditary and monotone properties of graphs. 1st ed. Zbl 0866.05030
Bollobás, Béla; Thomason, Andrew
39
1997
The number of matchings in random regular graphs and bipartite graphs. Zbl 0602.05050
Bollobás, Béla; McKay, B. D.
39
1986
Highly linked graphs. Zbl 0870.05044
Bollobás, Béla; Thomason, Andrew
37
1996
Exact bounds for judicious partitions of graphs. Zbl 0985.05028
Bollobás, B.; Scott, A. D.
37
1999
The scaling window of the 2-SAT transition. Zbl 0979.68053
Bollobás, Béla; Borgs, Christian; Chayes, Jennifer T.; Kim, Jeong Han; Wilson, David B.
37
2001
Better bounds for Max Cut. Zbl 1014.90082
Bollobás, B.; Scott, A. D.
37
2002
On complete subgraphs of different orders. Zbl 0325.05117
Bollobas, Bela
36
1976
Proof of a conjecture of Mader, Erdős and Hajnal on topological complete subgraphs. Zbl 0918.05095
Bollobás, Béla; Thomason, Andrew
36
1998
The speed of hereditary properties of graphs. Zbl 1026.05062
Balogh, József; Bollobás, Béla; Weinreich, David
36
2000
Compressions and isoperimetric inequalities. Zbl 0731.05043
Bollobás, Béla; Leader, Imre
34
1991
Random graphs. Zbl 0489.05050
Bollobas, Bela
33
1981
The interlace polynomial of a graph. Zbl 1060.05062
Arratia, Richard; Bollobás, Béla; Sorkin, Gregory B.
33
2004
Robustness and vulnerability of scale-free random graphs. Zbl 1062.05080
Bollobás, Béla; Riordan, Oliver
33
2003
List-colourings of graphs. Zbl 0606.05027
Bollobás, Béla; Harris, A. J.
33
1985
Alternating Hamiltonian cycles. Zbl 0325.05114
Bollobás, Béla; Erdős, Paul
32
1976
Hadwiger’s conjecture is true for almost every graph. Zbl 0457.05041
Bollobás, Béla; Catlin, Paul A.; Erdős, Pál
31
1980
Maximum cuts and judicious partitions in graphs without short cycles. Zbl 1030.05060
Alon, Noga; Bollobás, Béla; Krivelevich, Michael; Sudakov, Benny
31
2003
Three-graphs without two triples whose symmetric difference is contained in a third. Zbl 0291.05114
Bollobas, Bela
30
1974
Vertex distinguishing colorings of graphs with \(\Delta(G)=2\). Zbl 1005.05019
Balister, P. N.; Bollobás, B.; Schelp, R. H.
30
2002
Bootstrap percolation in high dimensions. Zbl 1263.60082
Balogh, József; Bollobás, Béla; Morris, Robert
29
2010
Cycles through specified vertices. Zbl 0780.05033
Bollobás, Béla; Brightwell, Graham
29
1993
Pentagons vs. triangles. Zbl 1152.05034
Bollobás, Béla; Győri, Ervin
29
2008
Majority bootstrap percolation on the hypercube. Zbl 1198.60041
Balogh, József; Bollobás, Béla; Morris, Robert
27
2009
Graphs which contain all small graphs. Zbl 0471.05037
Bollobas, Bela; Thomason, Andrew
27
1981
The diameter of a cycle plus a random matching. Zbl 0664.05036
Bollobás, Béla; Chung, F. R. K.
27
1988
The number of graphs without forbidden subgraphs. Zbl 1044.05044
Balogh, József; Bollobás, Béla; Simonovits, Miklós
27
2004
Graph theory. An introductory course. Corr. 3rd printing. Zbl 0688.05016
Bollobás, Béla
26
1990
The diameter of random regular graphs. Zbl 0505.05053
Bollobas, B.; Fernandez de la Vega, W.
26
1982
The art of mathematics. Coffee time in Memphis. Zbl 1238.00002
Bollobás, Béla
26
2006
Metrics for sparse graphs. Zbl 1182.05106
Bollobás, Béla; Riordan, Oliver
25
2009
On the stability of the Erdős-Ko-Rado theorem. Zbl 1325.05145
Bollobás, Béla; Narayanan, Bhargav P.; Raigorodskii, Andrei M.
25
2016
On a Ramsey-Turán type problem. Zbl 0337.05134
Bollobás, Béla; Erdős, Paul
25
1976
Sperner systems consisting of pairs of complementary subsets. Zbl 0281.05001
Bollobás, Béla
24
1973
Advances in graph theory. Zbl 0367.00008
Bollobas, B. (ed.)
24
1978
Sparse graphs: metrics and random models. Zbl 1223.05271
Bollobás, Béla; Riordan, Oliver
23
2011
Random majority percolation. Zbl 1202.60152
Balister, Paul; Bollobás, Béla; Johnson, J. Robert; Walters, Mark
23
2010
Judicious partitions of hypergraphs. Zbl 0884.05066
Bollobás, B.; Scott, A. D.
22
1997
The independence ratio of regular graphs. Zbl 0474.05057
Bollobas, Bela
22
1981
Extremal graphs for weights. Zbl 0933.05081
Bollobás, Béla; Erdős, Paul; Sarkar, Amites
22
1999
The structure of almost all graphs in a hereditary property. Zbl 1217.05193
Alon, Noga; Balogh, József; Bollobás, Béla; Morris, Robert
21
2011
The typical structure of graphs without given excluded subgraphs. Zbl 1227.05216
Balogh, József; Bollobás, Béla; Simonovits, Miklós
21
2009
Cops and robbers in a random graph. Zbl 1261.05064
Bollobás, Béla; Kun, Gábor; Leader, Imre
21
2013
Sums in the grid. Zbl 0872.11007
Bollobás, Béla; Leader, Imre
21
1996
Degree sequences of random graphs. Zbl 0447.05038
Bollobas, Bela
21
1981
An algorithm for finding Hamilton paths and cycles in random graphs. Zbl 0638.05036
Bollobás, Béla; Fenner, T. I.; Frieze, A. M.
20
1987
The interlace polynomial: A new graph polynomial. Zbl 0955.05066
Arratia, Richard; Bollobás, Béla; Sorkin, Gregory B.
20
2000
On separating systems. Zbl 1113.05097
Bollobás, Béla; Scott, Alex
20
2007
A two-variable interlace polynomial. Zbl 1064.05139
Arratia, Richard; Bollobás, Béla; Sorkin, Gregory B.
19
2004
The evolution of random subgraphs on the cube. Zbl 0779.05045
Bollobás, Béla; Kohayakawa, Y.; Łuczak, T.
18
1992
The height of a random partial order: Concentration of measure. Zbl 0758.06001
Bollobás, Béla; Brightwell, Graham
18
1992
Uniquely colourable graphs with large girth. Zbl 0344.05115
Bollobas, Bela; Sauer, Norbert
18
1976
Regular factors of regular graphs. Zbl 0612.05049
Bollobás, Béla; Saito, Akira; Wormald, N. C.
18
1985
Almost every graph has reconstruction number three. Zbl 0702.05061
Bollobás, Béla
18
1990
Monotone cellular automata in a random environment. Zbl 1371.60170
Bollobás, Béla; Smith, Paul; Uzzell, Andrew
18
2015
Euler circuits and DNA sequencing by hybridization. Zbl 0997.92014
Arratia, Richard; Bollobás, Béla; Coppersmith, Don; Sorkin, Gregory B.
17
2000
An Erdős-Ko-Rado theorem for signed sets. Zbl 0901.05088
Bollobás, B.; Leader, I.
17
1997
Contraction-deletion invariants for graphs. Zbl 1024.05028
Bollobás, Béla; Pebody, Luke; Riordan, Oliver
17
2000
Proving integrality gaps without knowing the linear program. Zbl 1213.68306
Arora, Sanjeev; Bollobás, Béla; Lovász, László; Tourlakis, Iannis
16
2006
The asymptotic number of unlabelled regular graphs. Zbl 0504.05051
Bollobas, Bela
16
1982
Continuum percolation with steps in the square or the disc. Zbl 1072.60083
Balister, Paul; Bollobás, Béla; Walters, Mark
16
2005
On the structure of edge graphs. Zbl 0277.05135
Bollobás, Béla; Erdős, Paul
16
1973
On complete subgraphs of \(r\)-chromatic graphs. Zbl 0306.05121
Bollobás, Béla; Erdős, Paul; Szemerédi, E.
16
1975
The longest chain among random points in Euclidean space. Zbl 0655.06004
Bollobás, Béla; Winkler, Peter
16
1988
Dense subgraphs in random graphs. Zbl 1409.05180
Balister, Paul; Bollobás, Béla; Sahasrabudhe, Julian; Veremyev, Alexander
1
2019
Line percolation. Zbl 1394.60097
Balister, Paul; Bollobás, Béla; Lee, Jonathan; Narayanan, Bhargav
3
2018
Eigenvalues of subgraphs of the cube. Zbl 1384.05106
Bollobás, Béla; Lee, Jonathan; Letzter, Shoham
1
2018
The sharp threshold for making squares. Zbl 1430.11165
Balister, Paul; Bollobás, Béla; Morris, Robert
1
2018
Random geometric graphs and isometries of normed spaces. Zbl 1393.05239
Balister, Paul; Bollobás, Béla; Gunderson, Karen; Leader, Imre; Walters, Mark
1
2018
The sharp threshold for the Duarte model. Zbl 1454.60141
Bollobás, Béla; Duminil-Copin, Hugo; Morris, Robert; Smith, Paul
9
2017
Exploring hypergraphs with martingales. Zbl 1364.05051
Bollobás, Béla; Riordan, Oliver
3
2017
Jigsaw percolation on random hypergraphs. Zbl 1396.05099
Bollobás, Béla; Cooley, Oliver; Kang, Mihyun; Koch, Christoph
2
2017
The threshold for jigsaw percolation on random graphs. Zbl 1366.05096
Bollobás, Béla; Riordan, Oliver; Slivken, Erik; Smith, Paul
2
2017
Catching a fast robber on the grid. Zbl 1369.05145
Balister, Paul; Shaw, Amy; Bollobás, Béla; Narayanan, Bhargav
2
2017
Packing random graphs and hypergraphs. Zbl 1370.05166
Bollobás, Béla; Janson, Svante; Scott, Alex
1
2017
On the stability of the Erdős-Ko-Rado theorem. Zbl 1325.05145
Bollobás, Béla; Narayanan, Bhargav P.; Raigorodskii, Andrei M.
25
2016
Subcritical \(\mathcal{U}\)-bootstrap percolation models have non-trivial phase transitions. Zbl 1342.60159
Balister, Paul; Bollobás, Béla; Przykucki, Michał; Smith, Paul
14
2016
The time of bootstrap percolation in two dimensions. Zbl 1351.60125
Balister, Paul; Bollobás, Béla; Smith, Paul
2
2016
Random hypergraph irregularity. Zbl 1332.05102
Balister, Paul; Bollobás, Béla; Lehel, Jenö; Morayne, Michał
1
2016
Counting connected hypergraphs via the probabilistic method. Zbl 1371.05257
Bollobás, Béla; Riordan, Oliver
1
2016
Monotone cellular automata in a random environment. Zbl 1371.60170
Bollobás, Béla; Smith, Paul; Uzzell, Andrew
18
2015
Transference for the Erdős-Ko-Rado theorem. Zbl 1323.05128
Balogh, József; Bollobás, Béla; Narayanan, Bhargav P.
12
2015
An old approach to the giant component problem. Zbl 1315.05123
Bollobás, Béla; Riordan, Oliver
7
2015
The time of bootstrap percolation with dense initial sets for all thresholds. Zbl 1323.60124
Bollobas, Béla; Smith, Paul; Uzzell, Andrew J.
5
2015
Intersections of hypergraphs. Zbl 1303.05131
Bollobás, Béla; Scott, Alex
1
2015
Disjoint induced subgraphs of the same order and size. Zbl 1315.05090
Bollobás, Béla; Kittipassorn, Teeradej; Narayanan, Bhargav P.; Scott, Alexander D.
1
2015
Bootstrap percolation on Galton-Watson trees. Zbl 1290.05058
Bollobás, Béla; Gunderson, Karen; Holmgren, Cecilia; Janson, Svante; Przykucki, Michał
7
2014
The time of bootstrap percolation with dense initial sets. Zbl 1311.60113
Bollobás, Béla; Holmgren, Cecilia; Smith, Paul; Uzzell, Andrew J.
7
2014
Minimal symmetric differences of lines in projective planes. Zbl 1310.51004
Balister, Paul; Bollobás, Béla; Füredi, Zoltán; Thompson, John
3
2014
Cops and robbers in a random graph. Zbl 1261.05064
Bollobás, Béla; Kun, Gábor; Leader, Imre
21
2013
Union-closed families of sets. Zbl 1259.05177
Balla, Igor; Bollobás, Béla; Eccles, Tom
6
2013
Metric dimension for random graphs. Zbl 1295.05095
Bollobás, Béla; Mitsche, Dieter; Prałat, Paweł
6
2013
Cover-decomposition and polychromatic numbers. Zbl 1268.05061
Bollobás, Béla; Pritchard, David; Rothvoss, Thomas; Scott, Alex
6
2013
A small probabilistic universal set of starting points for finding roots of complex polynomials by Newton’s method. Zbl 1283.37043
Bollobás, Béla; Lackmann, Malte; Schleicher, Dierk
5
2013
The phase transition in the Erdős-Rényi random graph process. Zbl 1293.05351
Bollobás, Béla; Riordan, Oliver
2
2013
Repeated degrees in random uniform hypergraphs. Zbl 1268.05141
Balister, Paul; Bollobás, Béla; Lehel, Jenö; Morayne, Michał
2
2013
The sharp threshold for bootstrap percolation in all dimensions. Zbl 1238.60108
Balogh, József; Bollobás, Béla; Duminil-Copin, Hugo; Morris, Robert
61
2012
Linear algebra and bootstrap percolation. Zbl 1242.05190
Balogh, József; Bollobás, Béla; Morris, Robert; Riordan, Oliver
14
2012
Walks and paths in trees. Zbl 1242.05055
Bollobás, Béla; Tyomkyn, Mykhaylo
14
2012
Asymptotic normality of the size of the giant component in a random hypergraph. Zbl 1255.05125
Bollobás, Béla; Riordan, Oliver
10
2012
Projections, entropy and sumsets. Zbl 1299.60013
Balister, Paul; Bollobás, Béla
9
2012
Asymptotic normality of the size of the giant component via a random walk. Zbl 1237.05192
Bollobás, Béla; Riordan, Oliver
9
2012
Graph bootstrap percolation. Zbl 1279.68243
Balogh, József; Bollobás, Béla; Morris, Robert
9
2012
Degree powers in graphs: the Erdős-Stone theorem. Zbl 1241.05021
Bollobás, Béla; Nikiforov, Vladimir
6
2012
Lion and man – can both win? Zbl 1260.91029
Bollobás, B.; Leader, I.; Walters, M.
6
2012
A simple branching process approach to the phase transition in \(G_{n,p}\). Zbl 1266.05149
Bollobás, Béla; Riordan, Oliver
2
2012
Monotone graph limits and quasimonotone graphs. Zbl 1258.05121
Bollobás, Béla; Janson, Svante; Riordan, Oliver
1
2012
Sparse graphs: metrics and random models. Zbl 1223.05271
Bollobás, Béla; Riordan, Oliver
23
2011
The structure of almost all graphs in a hereditary property. Zbl 1217.05193
Alon, Noga; Balogh, József; Bollobás, Béla; Morris, Robert
21
2011
Sparse random graphs with clustering. Zbl 1220.05117
Bollobás, Béla; Janson, Svante; Riordan, Oliver
14
2011
The fine structure of octahedron-free graphs. Zbl 1239.05098
Balogh, József; Bollobás, Béla; Simonovits, Miklós
11
2011
Hamilton cycles in random geometric graphs. Zbl 1222.05235
Balogh, József; Bollobás, Béla; Krivelevich, Michael; Müller, Tobias; Walters, Mark
9
2011
On covering by translates of a set. Zbl 1238.05049
Bollobás, Béla; Janson, Svante; Riordan, Oliver
5
2011
Daisies and other Turán problems. Zbl 1293.05381
Bollobás, Béla; Leader, Imre; Malvenuto, Claudia
4
2011
Intersections of graphs. Zbl 1294.05134
Bollobás, Béla; Scott, Alex
4
2011
The lion and the Christian, and other pursuit and evasion games. Zbl 1315.91010
Bollobás, Béla
1
2011
Bootstrap percolation in high dimensions. Zbl 1263.60082
Balogh, József; Bollobás, Béla; Morris, Robert
29
2010
Random majority percolation. Zbl 1202.60152
Balister, Paul; Bollobás, Béla; Johnson, J. Robert; Walters, Mark
23
2010
Max \(k\)-cut and judicious \(k\)-partitions. Zbl 1227.05171
Bollobás, Béla; Scott, Alex
12
2010
Percolation on dense graph sequences. Zbl 1190.60090
Bollobás, Béla; Borgs, Christian; Chayes, Jennifer; Riordan, Oliver
9
2010
Percolation on self-dual polygon configurations. Zbl 1215.05021
Bollobás, Béla; Riordan, Oliver
7
2010
The cut metric, random graphs, and branching processes. Zbl 1197.82056
Bollobás, Béla; Janson, Svante; Riordan, Oliver
6
2010
Sentry selection in wireless networks. Zbl 1209.05221
Balister, Paul; Bollobás, Béla; Sarkar, Amites; Walters, Mark
5
2010
The number of graphs with large forbidden subgraphs. Zbl 1245.05091
Bollobás, Béla; Nikiforov, Vladimir
2
2010
Erratum to: percolation on random Johnson-Mehl tessellations and related models. Zbl 1185.60105
Bollobás, Béla; Riordan, Oliver
2
2010
Bootstrap percolation in three dimensions. Zbl 1187.60082
Balogh, József; Bollobás, Béla; Morris, Robert
42
2009
Majority bootstrap percolation on the hypercube. Zbl 1198.60041
Balogh, József; Bollobás, Béla; Morris, Robert
27
2009
Metrics for sparse graphs. Zbl 1182.05106
Bollobás, Béla; Riordan, Oliver
25
2009
The typical structure of graphs without given excluded subgraphs. Zbl 1227.05216
Balogh, József; Bollobás, Béla; Simonovits, Miklós
21
2009
Clique percolation. Zbl 1205.60165
Bollobás, Béla; Riordan, Oliver
6
2009
Highly connected random geometric graphs. Zbl 1156.05054
Balister, Paul; Bollobás, Béla; Sarkar, Amites; Walters, Mark
6
2009
A critical constant for the \(k\) nearest-neighbour model. Zbl 1160.05333
Balister, Paul; Bollobás, Béla; Sarkar, Amites; Walters, Mark
5
2009
Line-of-sight percolation. Zbl 1216.05140
Bollobás, Béla; Janson, Svante; Riordan, Oliver
4
2009
The unlabelled speed of a hereditary graph property. Zbl 1168.05042
Balogh, József; Bollobás, Béla; Saks, Michael; Sós, Vera T.
4
2009
Handbook of large-scale random networks. Zbl 1170.05053
Bollobás, Béla; Kozma, Robert; Miklós, Dezső
2
2009
Random transceiver networks. Zbl 1220.60056
Balister, Paul; Bollobás, Béla; Walters, Mark
1
2009
Pentagons vs. triangles. Zbl 1152.05034
Bollobás, Béla; Győri, Ervin
29
2008
Highly connected monochromatic subgraphs. Zbl 1137.05025
Bollobás, Béla; Gyárfás, András
13
2008
Packing \(d\)-degenerate graphs. Zbl 1130.05046
Bollobás, Béla; Kostochka, Alexandr; Nakprasit, Kittikorn
9
2008
Connectivity of addable graph classes. Zbl 1145.05033
Balister, Paul; Bollobás, Béla; Gerke, Stefanie
7
2008
Percolation on random Johnson-Mehl tessellations and related models. Zbl 1135.60057
Bollobás, Béla; Riordan, Oliver
5
2008
Joints in graphs. Zbl 1131.05049
Bollobás, Béla; Nikiforov, Vladimir
5
2008
Percolation on dual lattices with \(k\)-fold symmetry. Zbl 1152.60075
Bollobás, Béla; Riordan, Oliver
3
2008
The phase transition in inhomogeneous random graphs. Zbl 1123.05083
Bollobàs, Bela; Janson, Svante; Riordan, Oliver
165
2007
On separating systems. Zbl 1113.05097
Bollobás, Béla; Scott, Alex
20
2007
Maximum directed cuts in acyclic digraphs. Zbl 1117.05056
Alon, Noga; Bollobás, Béla; Gyárfás, András; Lehel, Jenő; Scott, Alex
12
2007
Cliques and the spectral radius. Zbl 1124.05058
Bollobás, Béla; Nikiforov, Vladimir
9
2007
Counting regions with bounded surface area. Zbl 1135.82004
Balister, P. N.; Bollobás, B.
8
2007
The generalized Randić index of trees. Zbl 1134.05017
Balister, Paul; Bollobás, Béla; Gerke, Stefanie
7
2007
Separating systems and oriented graphs of diameter two. Zbl 1109.05103
Bollobás, Béla; Scott, Alex
6
2007
Spread-out percolation in \(\mathbb R^d\). Zbl 1130.60090
Bollobás, Béla; Janson, Svante; Riordan, Oliver
5
2007
Hereditary properties of tournaments. Zbl 1159.05022
Balogh, József; Bollobás, Béla; Morris, Robert
4
2007
Hereditary and monotone properties of combinatorial structure. Zbl 1129.05020
Bollobás, Béla
3
2007
Degree distribution of the FKP network model. Zbl 1149.90030
Berger, Noam; Bollobás, Béla; Borgs, Christian; Chayes, Jennifer; Riordan, Oliver
2
2007
Hereditary properties of combinatorial structures: posets and oriented graphs. Zbl 1135.05024
Balogh, József; Bollobás, Béla; Morris, Robert
2
2007
Percolation. Zbl 1118.60001
Bollobás, Béla; Riordan, Oliver
75
2006
The critical probability for random Voronoi percolation in the plane is 1/2. Zbl 1100.60054
Bollobás, Béla; Riordan, Oliver
44
2006
Bootstrap percolation on the hypercube. Zbl 1087.60068
Balogh, József; Bollobás, Béla
40
2006
The art of mathematics. Coffee time in Memphis. Zbl 1238.00002
Bollobás, Béla
26
2006
Proving integrality gaps without knowing the linear program. Zbl 1213.68306
Arora, Sanjeev; Bollobás, Béla; Lovász, László; Tourlakis, Iannis
16
2006
Large deviations for mean field models of probabilistic cellular automata. Zbl 1111.60032
Balister, P.; Bollobás, B.; Kozma, R.
15
2006
A short proof of the Harris-Kesten theorem. Zbl 1104.60060
Bollobás, Béla; Riordan, Oliver
14
2006
Ramsey-type theorems for metric spaces with applications to online problems. Zbl 1094.68114
Bartal, Yair; Bollobás, Béla; Mendel, Manor
12
2006
Sparse distance preservers and additive spanners. Zbl 1103.05027
Bollobás, Béla; Coppersmith, Don; Elkin, Michael
8
2006
...and 319 more Documents
all top 5

Cited by 6,216 Authors

169 Bollobás, Béla
61 Alon, Noga M.
61 Frieze, Alan Michael
60 Sudakov, Benny
53 Balogh, József
47 Krivelevich, Michael
42 Janson, Svante
41 Furedi, Zoltan
41 van der Hofstad, Remco W.
36 Wormald, Nicholas Charles
36 Yuster, Raphael
34 Frankl, Péter
33 Łuczak, Tomasz
32 Li, Xueliang
31 Nikiforov, Vladimir S.
31 Prałat, Paweł
31 Riordan, Oliver Maxim
30 Morris, Robert D.
29 Balister, Paul N.
29 Kostochka, Aleksandr Vasil’evich
29 Zhukovskiĭ, Maksim Evgen’evich
28 Osthus, Deryk
28 Thomason, Andrew G.
26 Henning, Michael Anthony
26 Kohayakawa, Yoshiharu
26 Kühn, Daniela
25 Erdős, Pál
25 Tuza, Zsolt
24 Pikhurko, Oleg
24 Rautenbach, Dieter
23 Kang, Mihyun
23 Mubayi, Dhruv
23 Scott, Alexander D.
22 Pittel, Boris G.
21 Cooper, Colin
21 Leader, Imre
21 Yu, Xingxing
20 Kim, Sun Kwang
19 Bhamidi, Shankar
19 Li, Shuchao
19 McDiarmid, Colin J. H.
19 Raĭgorodskiĭ, Andreĭ Mikhaĭlovich
19 Shi, Yongtang
18 Fountoulakis, Nikolaos
18 Lubetzky, Eyal
18 Makowsky, Johann-Andreas
18 Moffatt, Iain
18 Rodl, Vojtech
17 Brightwell, Graham R.
17 Caro, Yair
17 Coja-Oghlan, Amin
17 Dudek, Andrzej
17 Fox, Jacob
17 Hou, Jianfeng
17 Pach, János
17 Steger, Angelika
17 Szemerédi, Endre
16 Duminil-Copin, Hugo
16 Grimmett, Geoffrey R.
16 Kahn, Jeff D.
16 Li, Hao
16 Loh, Po-Shen
16 Lozin, Vadim Vladislavovich
16 Person, Yury Aleksandrovic
16 Reed, Bruce Alan
16 Sarkozy, Gabor N.
16 Spirakis, Paul G.
16 Zhang, Shenggui
15 Chang, Shu-Chiuan
15 Keevash, Peter
15 Martín Suarez, Miguel
15 Ruciński, Andrzej
15 Woźniak, Mariusz
14 Bonato, Anthony
14 Borgs, Christian
14 Chayes, Jennifer Tour
14 Gerbner, Dániel
14 Győri, Ervin
14 Jin, Xian’an
14 Lee, Han Ju
14 Ma, Jie
14 Simonovits, Miklós
14 West, Douglas Brent
14 Xu, Baogang
13 Hefetz, Dan
13 Kang, Ross J.
13 Katona, Gyula O. H.
13 Kim, Jeong Han
13 Kupavskii, Andrey
13 Lazebnik, Felix
13 Linial, Nathan
13 Shrock, Robert E.
13 Székely, László A.
13 Traldi, Lorenzo
13 Zhu, Zhongxun
12 Acosta Vigil, María Dolores
12 Brown, Jason Ira
12 McKay, Brendan D.
12 Mitsche, Dieter
12 Mohar, Bojan
...and 6,116 more Authors
all top 5

Cited in 515 Serials

629 Discrete Mathematics
333 Discrete Applied Mathematics
248 Journal of Combinatorial Theory. Series B
219 European Journal of Combinatorics
208 Combinatorics, Probability and Computing
189 Random Structures & Algorithms
188 Theoretical Computer Science
152 Graphs and Combinatorics
137 Journal of Graph Theory
129 Journal of Combinatorial Theory. Series A
106 Combinatorica
97 Journal of Statistical Physics
89 Linear Algebra and its Applications
74 The Annals of Applied Probability
70 Information Processing Letters
57 Transactions of the American Mathematical Society
56 The Annals of Probability
55 SIAM Journal on Discrete Mathematics
52 Probability Theory and Related Fields
50 Applied Mathematics and Computation
46 Journal of Combinatorial Optimization
45 Journal of Mathematical Analysis and Applications
45 Algorithmica
44 Israel Journal of Mathematics
40 Advances in Applied Probability
38 Physica A
38 Advances in Mathematics
38 Stochastic Processes and their Applications
34 Journal of Applied Probability
33 The Electronic Journal of Combinatorics
32 Journal of Computer and System Sciences
32 Advances in Applied Mathematics
30 Proceedings of the American Mathematical Society
27 Order
26 Statistics & Probability Letters
26 Discrete & Computational Geometry
25 Acta Mathematicae Applicatae Sinica. English Series
23 Journal of Mathematical Chemistry
22 Communications in Mathematical Physics
22 Acta Mathematica Sinica. English Series
21 Doklady Mathematics
19 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
18 Physica D
18 Applied Mathematics Letters
18 European Journal of Operational Research
18 Theory of Computing Systems
17 Journal of Knot Theory and its Ramifications
17 Journal of Discrete Algorithms
16 Mathematical Notes
16 Journal of Functional Analysis
16 Information and Computation
15 Journal of Mathematical Physics
15 The Annals of Statistics
14 Mathematical Proceedings of the Cambridge Philosophical Society
14 Information Sciences
14 Journal of Theoretical Biology
12 Chaos, Solitons and Fractals
12 Mathematica Slovaca
12 Designs, Codes and Cryptography
12 Finite Fields and their Applications
12 Discussiones Mathematicae. Graph Theory
12 Internet Mathematics
12 Journal of Statistical Mechanics: Theory and Experiment
11 Artificial Intelligence
11 Bulletin of the Australian Mathematical Society
11 Networks
11 Computational Geometry
11 Distributed Computing
11 Electronic Journal of Probability
11 Bernoulli
11 Journal of Applied Mathematics and Computing
10 Journal of Mathematical Biology
10 Czechoslovak Mathematical Journal
10 Journal of Algebra
10 SIAM Journal on Computing
10 Annals of Pure and Applied Logic
10 Journal of Theoretical Probability
10 Bulletin of the American Mathematical Society. New Series
10 Journal of Mathematical Sciences (New York)
10 Annals of Combinatorics
10 Chaos
9 Problems of Information Transmission
9 Automatica
9 Journal of Computational and Applied Mathematics
9 Journal of the American Mathematical Society
9 Discrete Mathematics and Applications
9 The Australasian Journal of Combinatorics
9 Journal of Physics A: Mathematical and Theoretical
9 Discrete Mathematics, Algorithms and Applications
8 Mathematische Annalen
8 Mathematische Zeitschrift
8 Quaestiones Mathematicae
8 Topology and its Applications
8 Geometric and Functional Analysis. GAFA
8 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
8 AKCE International Journal of Graphs and Combinatorics
7 Bulletin of Mathematical Biology
7 Computing
7 Duke Mathematical Journal
7 Inventiones Mathematicae
...and 415 more Serials
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Cited in 62 Fields

4,271 Combinatorics (05-XX)
871 Probability theory and stochastic processes (60-XX)
788 Computer science (68-XX)
345 Statistical mechanics, structure of matter (82-XX)
304 Operations research, mathematical programming (90-XX)
252 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
215 Biology and other natural sciences (92-XX)
127 Functional analysis (46-XX)
119 Information and communication theory, circuits (94-XX)
118 Linear and multilinear algebra; matrix theory (15-XX)
113 Order, lattices, ordered algebraic structures (06-XX)
112 Number theory (11-XX)
102 Statistics (62-XX)
96 Mathematical logic and foundations (03-XX)
92 Manifolds and cell complexes (57-XX)
90 Convex and discrete geometry (52-XX)
82 Dynamical systems and ergodic theory (37-XX)
71 Group theory and generalizations (20-XX)
62 Operator theory (47-XX)
48 Systems theory; control (93-XX)
42 Numerical analysis (65-XX)
42 Quantum theory (81-XX)
39 Geometry (51-XX)
38 Measure and integration (28-XX)
38 Ordinary differential equations (34-XX)
31 Commutative algebra (13-XX)
31 Algebraic geometry (14-XX)
26 General topology (54-XX)
25 Differential geometry (53-XX)
22 Associative rings and algebras (16-XX)
22 Functions of a complex variable (30-XX)
22 Partial differential equations (35-XX)
18 Real functions (26-XX)
17 Calculus of variations and optimal control; optimization (49-XX)
17 Algebraic topology (55-XX)
16 Global analysis, analysis on manifolds (58-XX)
10 Nonassociative rings and algebras (17-XX)
9 History and biography (01-XX)
9 Several complex variables and analytic spaces (32-XX)
9 Relativity and gravitational theory (83-XX)
8 Approximations and expansions (41-XX)
7 General and overarching topics; collections (00-XX)
7 Field theory and polynomials (12-XX)
7 Difference and functional equations (39-XX)
7 Abstract harmonic analysis (43-XX)
6 Topological groups, Lie groups (22-XX)
6 Harmonic analysis on Euclidean spaces (42-XX)
6 Fluid mechanics (76-XX)
4 Special functions (33-XX)
4 Mechanics of deformable solids (74-XX)
3 Mechanics of particles and systems (70-XX)
3 Classical thermodynamics, heat transfer (80-XX)
2 Category theory; homological algebra (18-XX)
2 Integral equations (45-XX)
2 Optics, electromagnetic theory (78-XX)
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1 \(K\)-theory (19-XX)
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1 Geophysics (86-XX)
1 Mathematics education (97-XX)

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