Edit Profile (opens in new tab) Bollobás, Béla Compute Distance To: Compute Author ID: bollobas.bela 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: MacTutor · MGP · Wikidata · ResearchGate · dblp · GND · IdRef Documents Indexed: 495 Publications since 1962, including 19 Books 19 Contributions as Editor · 1 Further Contribution Biographic References: 2 Publications Co-Authors: 186 Co-Authors with 385 Joint Publications 5,827 Co-Co-Authors all top 5 Co-Authors 125 single-authored 58 Riordan, Oliver Maxim 54 Balister, Paul N. 29 Balogh, József 29 Leader, Imre 24 Scott, Alexander D. 22 Morris, Robert D. 20 Brightwell, Graham R. 20 Erdős, Pál 19 Thomason, Andrew G. 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. 7 Sahasrabudhe, Julian 6 Jin, Guoping 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 Tiba, Marius 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 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, Fan 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 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 Bingham, Nicholas Hugh 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 ...and 94 more Co-Authors all top 5 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 Inventiones Mathematicae 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 1 Wiley Series in Probability and Mathematical Statistics all top 5 Fields 393 Combinatorics (05-XX) 117 Probability theory and stochastic processes (60-XX) 36 Computer science (68-XX) 25 Statistical mechanics, structure of matter (82-XX) 23 General and overarching topics; collections (00-XX) 17 Order, lattices, ordered algebraic structures (06-XX) 17 Number theory (11-XX) 16 Convex and discrete geometry (52-XX) 14 Functional analysis (46-XX) 11 Operator theory (47-XX) 10 History and biography (01-XX) 9 Measure and integration (28-XX) 9 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 8 Operations research, mathematical programming (90-XX) 6 Biology and other natural sciences (92-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Information and communication theory, circuits (94-XX) 3 Geometry (51-XX) 3 Manifolds and cell complexes (57-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 1 Mathematical logic and foundations (03-XX) 1 Group theory and generalizations (20-XX) 1 Functions of a complex variable (30-XX) 1 Ordinary differential equations (34-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 General topology (54-XX) 1 Geophysics (86-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 432 Publications have been cited 8,371 times in 6,149 Documents Cited by ▼ Year ▼ Modern graph theory. Zbl 0902.05016Bollobás, Béla 646 1998 Extremal graph theory. Zbl 0419.05031Bollobas, Bela 440 1978 Random graphs. Zbl 0567.05042Bollobás, Béla 368 1985 Random graphs. 2nd ed. Zbl 0979.05003Bollobás, Béla 346 2001 A probabilistic proof of an asymptotic formula for the number of labelled regular graphs. Zbl 0457.05038Bollobas, Bela 247 1980 The phase transition in inhomogeneous random graphs. Zbl 1123.05083Bollobàs, Bela; Janson, Svante; Riordan, Oliver 179 2007 Paths in graphs. Zbl 0997.05049Bollobás, B.; Sarkar, A. 178 2001 Graphs of extremal weights. Zbl 0963.05068Bollobás, Béla; Erdős, Paul 175 1998 The degree sequence of a scale-free random graph process. Zbl 0985.05047Bollobás, Béla; Riordan, Oliver; Spencer, Joel; Tusnády, Gábor 149 2001 On generalized graphs. Zbl 0138.19404Bollobás, B. 133 1965 Graph-theoretic parameters concerning domination, independence, and irredundance. Zbl 0418.05049Bollobas, B.; Cockayne, E. J. 126 1979 Graph theory. An introductory course. Zbl 0411.05032Bollobas, Bela 116 1979 Extremal graph theory. Reprint of the 1978 original. Zbl 1099.05044Bollobás, Béla 98 2004 Combinatorics. Set systems, hypergraphs, families of vectors and combinatorial probability. Zbl 0595.05001Bollobás, Béla 90 1986 The chromatic number of random graphs. Zbl 0666.05033Bollobás, Béla 90 1988 Percolation. Zbl 1118.60001Bollobás, Béla; Riordan, Oliver 88 2006 Cliques in random graphs. Zbl 0344.05155Bollobás, Béla; Erdős, Paul 83 1976 The diameter of a scale-free random graph. Zbl 1047.05038Bollobás, B.; Riordan, O. 79 2004 An extension to the theorem of Bishop and Phelps. Zbl 0217.45104Bollobás, B. 76 1970 The evolution of random graphs. Zbl 0579.05046Bollobás, Béla 75 1984 The sharp threshold for bootstrap percolation in all dimensions. Zbl 1238.60108Balogh, József; Bollobás, Béla; Duminil-Copin, Hugo; Morris, Robert 69 2012 A polynomial of graphs on surfaces. Zbl 1004.05021Bollobás, Béla; Riordan, Oliver 69 2002 Threshold functions. Zbl 0648.05048Bollobás, Béla; Thomason, A. 61 1987 Problems and results on judicious partitions. Zbl 1013.05059Bollobás, B.; Scott, A. D. 57 2002 Packings of graphs and applications to computational complexity. Zbl 0387.05020Bollobás, Béla; Eldridge, Stephen E. 55 1978 Threshold functions for small subgraphs. Zbl 0475.05074Bollobas, Bela 54 1981 A polynomial invariant of graphs on orientable surfaces. Zbl 1015.05024Bollobás, Béla; Riordan, Oliver 54 2001 Projections of bodies and hereditary properties of hypergraphs. Zbl 0836.05072Bollobás, Béla; Thomason, Andrew 52 1995 The critical probability for random Voronoi percolation in the plane is 1/2. Zbl 1100.60054Bollobás, Béla; Riordan, Oliver 51 2006 Directed scale-free graphs. Zbl 1094.68605Bollobás, Béla; Borgs, Christian; Chayes, Jennifer; Riordan, Oliver 51 2003 Edge-isoperimetric inequalities in the grid. Zbl 0755.05045Bollobás, Béla; Leader, Imre 48 1991 The isoperimetric number of random regular graphs. Zbl 0673.05086Bollobás, Béla 47 1988 A Tutte polynomial for coloured graphs. Zbl 0926.05017Bollobás, Béla; Riordan, Oliver 45 1999 Bootstrap percolation on the hypercube. Zbl 1087.60068Balogh, József; Bollobás, Béla 44 2006 Sets of independent edges of a hypergraph. Zbl 0337.05135Bollobás, Béla; Daykin, D. E.; Erdős, Paul 44 1976 Bootstrap percolation in three dimensions. Zbl 1187.60082Balogh, József; Bollobás, Béla; Morris, Robert 43 2009 Hereditary and monotone properties of graphs. 1st ed. Zbl 0866.05030Bollobás, Béla; Thomason, Andrew 42 1997 Compressions and isoperimetric inequalities. Zbl 0731.05043Bollobás, Béla; Leader, Imre 41 1991 Highly linked graphs. Zbl 0870.05044Bollobás, Béla; Thomason, Andrew 40 1996 The number of matchings in random regular graphs and bipartite graphs. Zbl 0602.05050Bollobás, Béla; McKay, B. D. 40 1986 On complete subgraphs of different orders. Zbl 0325.05117Bollobas, Bela 40 1976 Extremal graph theory. Zbl 0844.05054Bollobás, Béla 39 1995 Proof of a conjecture of Mader, Erdős and Hajnal on topological complete subgraphs. Zbl 0918.05095Bollobás, Béla; Thomason, Andrew 39 1998 Better bounds for Max Cut. Zbl 1014.90082Bollobás, B.; Scott, A. D. 39 2002 The speed of hereditary properties of graphs. Zbl 1026.05062Balogh, József; Bollobás, Béla; Weinreich, David 38 2000 The scaling window of the 2-SAT transition. Zbl 0979.68053Bollobás, Béla; Borgs, Christian; Chayes, Jennifer T.; Kim, Jeong Han; Wilson, David B. 38 2001 Exact bounds for judicious partitions of graphs. Zbl 0985.05028Bollobás, B.; Scott, A. D. 37 1999 The interlace polynomial of a graph. Zbl 1060.05062Arratia, Richard; Bollobás, Béla; Sorkin, Gregory B. 36 2004 Alternating Hamiltonian cycles. Zbl 0325.05114Bollobás, Béla; Erdős, Paul 36 1976 Robustness and vulnerability of scale-free random graphs. Zbl 1062.05080Bollobás, Béla; Riordan, Oliver 35 2003 Hadwiger’s conjecture is true for almost every graph. Zbl 0457.05041Bollobás, Béla; Catlin, Paul A.; Erdős, Pál 34 1980 Pentagons vs. triangles. Zbl 1152.05034Bollobás, Béla; Győri, Ervin 34 2008 List-colourings of graphs. Zbl 0606.05027Bollobás, Béla; Harris, A. J. 34 1985 Bootstrap percolation in high dimensions. Zbl 1263.60082Balogh, József; Bollobás, Béla; Morris, Robert 33 2010 Maximum cuts and judicious partitions in graphs without short cycles. Zbl 1030.05060Alon, Noga; Bollobás, Béla; Krivelevich, Michael; Sudakov, Benny 33 2003 Random graphs. Zbl 0489.05050Bollobas, Bela 33 1981 Metrics for sparse graphs. Zbl 1182.05106Bollobás, Béla; Riordan, Oliver 32 2009 Three-graphs without two triples whose symmetric difference is contained in a third. Zbl 0291.05114Bollobas, Bela 32 1974 Vertex distinguishing colorings of graphs with \(\Delta(G)=2\). Zbl 1005.05019Balister, P. N.; Bollobás, B.; Schelp, R. H. 31 2002 The art of mathematics. Coffee time in Memphis. Zbl 1238.00002Bollobás, Béla 30 2006 Cycles through specified vertices. Zbl 0780.05033Bollobás, Béla; Brightwell, Graham 30 1993 Graphs which contain all small graphs. Zbl 0471.05037Bollobas, Bela; Thomason, Andrew 30 1981 The number of graphs without forbidden subgraphs. Zbl 1044.05044Balogh, József; Bollobás, Béla; Simonovits, Miklós 30 2004 The diameter of a cycle plus a random matching. Zbl 0664.05036Bollobás, Béla; Chung, F. R. K. 29 1988 Majority bootstrap percolation on the hypercube. Zbl 1198.60041Balogh, József; Bollobás, Béla; Morris, Robert 28 2009 On the stability of the Erdős-Ko-Rado theorem. Zbl 1325.05145Bollobás, Béla; Narayanan, Bhargav P.; Raigorodskii, Andrei M. 28 2016 The diameter of random regular graphs. Zbl 0505.05053Bollobas, B.; Fernandez de la Vega, W. 27 1982 Extremal graphs for weights. Zbl 0933.05081Bollobás, Béla; Erdős, Paul; Sarkar, Amites 26 1999 Graph theory. An introductory course. Corr. 3rd printing. Zbl 0688.05016Bollobás, Béla 26 1990 On a Ramsey-Turán type problem. Zbl 0337.05134Bollobás, Béla; Erdős, Paul 26 1976 Random majority percolation. Zbl 1202.60152Balister, Paul; Bollobás, Béla; Johnson, J. Robert; Walters, Mark 25 2010 Sparse graphs: metrics and random models. Zbl 1223.05271Bollobás, Béla; Riordan, Oliver 25 2011 Sperner systems consisting of pairs of complementary subsets. Zbl 0281.05001Bollobás, Béla 25 1973 Advances in graph theory. Zbl 0367.00008 24 1978 Degree sequences of random graphs. Zbl 0447.05038Bollobas, Bela 24 1981 The independence ratio of regular graphs. Zbl 0474.05057Bollobas, Bela 24 1981 The structure of almost all graphs in a hereditary property. Zbl 1217.05193Alon, Noga; Balogh, József; Bollobás, Béla; Morris, Robert 24 2011 Cops and robbers in a random graph. Zbl 1261.05064Bollobás, Béla; Kun, Gábor; Leader, Imre 23 2013 On separating systems. Zbl 1113.05097Bollobás, Béla; Scott, Alex 23 2007 Monotone cellular automata in a random environment. Zbl 1371.60170Bollobás, Béla; Smith, Paul; Uzzell, Andrew 23 2015 The typical structure of graphs without given excluded subgraphs. Zbl 1227.05216Balogh, József; Bollobás, Béla; Simonovits, Miklós 23 2009 The interlace polynomial: A new graph polynomial. Zbl 0955.05066Arratia, Richard; Bollobás, Béla; Sorkin, Gregory B. 22 2000 Judicious partitions of hypergraphs. Zbl 0884.05066Bollobás, B.; Scott, A. D. 22 1997 A two-variable interlace polynomial. Zbl 1064.05139Arratia, Richard; Bollobás, Béla; Sorkin, Gregory B. 21 2004 Contraction-deletion invariants for graphs. Zbl 1024.05028Bollobás, Béla; Pebody, Luke; Riordan, Oliver 21 2000 Sums in the grid. Zbl 0872.11007Bollobás, Béla; Leader, Imre 21 1996 An algorithm for finding Hamilton paths and cycles in random graphs. Zbl 0638.05036Bollobás, Béla; Fenner, T. I.; Frieze, A. M. 21 1987 Subcritical \(\mathcal{U}\)-bootstrap percolation models have non-trivial phase transitions. Zbl 1342.60159Balister, Paul; Bollobás, Béla; Przykucki, Michał; Smith, Paul 19 2016 Uniquely colourable graphs with large girth. Zbl 0344.05115Bollobas, Bela; Sauer, Norbert 19 1976 Euler circuits and DNA sequencing by hybridization. Zbl 0997.92014Arratia, Richard; Bollobás, Béla; Coppersmith, Don; Sorkin, Gregory B. 19 2000 The asymptotic number of unlabelled regular graphs. Zbl 0504.05051Bollobas, Bela 19 1982 An isoperimetric inequality on the discrete torus. Zbl 0746.05031Bollobás, Béla; Leader, Imre 19 1990 The evolution of random subgraphs on the cube. Zbl 0779.05045Bollobás, Béla; Kohayakawa, Y.; Łuczak, T. 19 1992 The height of a random partial order: Concentration of measure. Zbl 0758.06001Bollobás, Béla; Brightwell, Graham 19 1992 Almost every graph has reconstruction number three. Zbl 0702.05061Bollobás, Béla 19 1990 The random-cluster model on the complete graph. Zbl 0846.05075Bollobás, B.; Grimmett, G.; Janson, S. 18 1996 The structure of hereditary properties and colourings of random graphs. Zbl 0959.05105Bollobás, Béla; Thomason, Andrew 18 2000 Regular factors of regular graphs. Zbl 0612.05049Bollobás, Béla; Saito, Akira; Wormald, N. C. 18 1985 Proving integrality gaps without knowing the linear program. Zbl 1213.68306Arora, Sanjeev; Bollobás, Béla; Lovász, László; Tourlakis, Iannis 17 2006 On complete subgraphs of \(r\)-chromatic graphs. Zbl 0306.05121Bollobás, Béla; Erdős, Paul; Szemerédi, E. 17 1975 The Erdős-Selfridge problem with square-free moduli. Zbl 07351558Balister, Paul; Bollobás, Béla; Morris, Robert; Sahasrabudhe, Julian; Tiba, Marius 3 2021 Counting independent sets in regular hypergraphs. Zbl 1459.05229Balogh, József; Bollobás, Béla; Narayanan, Bhargav 2 2021 Flat Littlewood polynomials exist. Zbl 1470.42004Balister, Paul; Bollobás, Béla; Morris, Robert; Sahasrabudhe, Julian; Tiba, Marius 2 2020 Erdős covering systems. Zbl 1474.11001Balister, P.; Bollobás, B.; Morris, R.; Sahasrabudhe, J.; Tiba, M. 1 2020 Dense subgraphs in random graphs. Zbl 1409.05180Balister, Paul; Bollobás, Béla; Sahasrabudhe, Julian; Veremyev, Alexander 2 2019 Line percolation. Zbl 1394.60097Balister, Paul; Bollobás, Béla; Lee, Jonathan; Narayanan, Bhargav 3 2018 Eigenvalues of subgraphs of the cube. Zbl 1384.05106Bollobás, Béla; Lee, Jonathan; Letzter, Shoham 2 2018 Counting dense connected hypergraphs via the probabilistic method. Zbl 1401.05144Bollobás, Béla; Riordan, Oliver 1 2018 Random geometric graphs and isometries of normed spaces. Zbl 1393.05239Balister, Paul; Bollobás, Béla; Gunderson, Karen; Leader, Imre; Walters, Mark 1 2018 The sharp threshold for making squares. Zbl 1430.11165Balister, Paul; Bollobás, Béla; Morris, Robert 1 2018 River landscapes and optimal channel networks. Zbl 1416.94081Balister, Paul; Balogh, József; Bertuzzo, Enrico; Bollobás, Béla; Caldarelli, Guido; Maritan, Amos; Mastrandrea, Rossana; Morris, Robert; Rinaldo, Andrea 1 2018 The sharp threshold for the Duarte model. Zbl 1454.60141Bollobás, Béla; Duminil-Copin, Hugo; Morris, Robert; Smith, Paul 11 2017 Catching a fast robber on the grid. Zbl 1369.05145Balister, Paul; Shaw, Amy; Bollobás, Béla; Narayanan, Bhargav 3 2017 Exploring hypergraphs with martingales. Zbl 1364.05051Bollobás, Béla; Riordan, Oliver 3 2017 The threshold for jigsaw percolation on random graphs. Zbl 1366.05096Bollobás, Béla; Riordan, Oliver; Slivken, Erik; Smith, Paul 2 2017 Jigsaw percolation on random hypergraphs. Zbl 1396.05099Bollobás, Béla; Cooley, Oliver; Kang, Mihyun; Koch, Christoph 2 2017 Packing random graphs and hypergraphs. Zbl 1370.05166Bollobás, Béla; Janson, Svante; Scott, Alex 1 2017 On the maximum running time in graph bootstrap percolation. Zbl 1361.05135Bollobás, Béla; Przykucki, Michał; Riordan, Oliver; Sahasrabudhe, Julian 1 2017 On the stability of the Erdős-Ko-Rado theorem. Zbl 1325.05145Bollobás, Béla; Narayanan, Bhargav P.; Raigorodskii, Andrei M. 28 2016 Subcritical \(\mathcal{U}\)-bootstrap percolation models have non-trivial phase transitions. Zbl 1342.60159Balister, Paul; Bollobás, Béla; Przykucki, Michał; Smith, Paul 19 2016 The time of bootstrap percolation in two dimensions. Zbl 1351.60125Balister, Paul; Bollobás, Béla; Smith, Paul 2 2016 Counting connected hypergraphs via the probabilistic method. Zbl 1371.05257Bollobás, Béla; Riordan, Oliver 2 2016 Random hypergraph irregularity. Zbl 1332.05102Balister, Paul; Bollobás, Béla; Lehel, Jenö; Morayne, Michał 1 2016 Monotone cellular automata in a random environment. Zbl 1371.60170Bollobás, Béla; Smith, Paul; Uzzell, Andrew 23 2015 Transference for the Erdős-Ko-Rado theorem. Zbl 1323.05128Balogh, József; Bollobás, Béla; Narayanan, Bhargav P. 13 2015 An old approach to the giant component problem. Zbl 1315.05123Bollobás, Béla; Riordan, Oliver 10 2015 The time of bootstrap percolation with dense initial sets for all thresholds. Zbl 1323.60124Bollobas, Béla; Smith, Paul; Uzzell, Andrew J. 5 2015 Disjoint induced subgraphs of the same order and size. Zbl 1315.05090Bollobás, Béla; Kittipassorn, Teeradej; Narayanan, Bhargav P.; Scott, Alexander D. 1 2015 Intersections of hypergraphs. Zbl 1303.05131Bollobás, Béla; Scott, Alex 1 2015 Bootstrap percolation on Galton-Watson trees. Zbl 1290.05058Bollobás, Béla; Gunderson, Karen; Holmgren, Cecilia; Janson, Svante; Przykucki, Michał 8 2014 The time of bootstrap percolation with dense initial sets. Zbl 1311.60113Bollobás, Béla; Holmgren, Cecilia; Smith, Paul; Uzzell, Andrew J. 7 2014 Minimal symmetric differences of lines in projective planes. Zbl 1310.51004Balister, Paul; Bollobás, Béla; Füredi, Zoltán; Thompson, John 3 2014 Cops and robbers in a random graph. Zbl 1261.05064Bollobás, Béla; Kun, Gábor; Leader, Imre 23 2013 Union-closed families of sets. Zbl 1259.05177Balla, Igor; Bollobás, Béla; Eccles, Tom 9 2013 Cover-decomposition and polychromatic numbers. Zbl 1268.05061Bollobás, Béla; Pritchard, David; Rothvoss, Thomas; Scott, Alex 8 2013 A small probabilistic universal set of starting points for finding roots of complex polynomials by Newton’s method. Zbl 1283.37043Bollobás, Béla; Lackmann, Malte; Schleicher, Dierk 7 2013 Metric dimension for random graphs. Zbl 1295.05095Bollobás, Béla; Mitsche, Dieter; Prałat, Paweł 7 2013 Repeated degrees in random uniform hypergraphs. Zbl 1268.05141Balister, Paul; Bollobás, Béla; Lehel, Jenö; Morayne, Michał 3 2013 The phase transition in the Erdős-Rényi random graph process. Zbl 1293.05351Bollobás, Béla; Riordan, Oliver 3 2013 The sharp threshold for bootstrap percolation in all dimensions. Zbl 1238.60108Balogh, József; Bollobás, Béla; Duminil-Copin, Hugo; Morris, Robert 69 2012 Linear algebra and bootstrap percolation. Zbl 1242.05190Balogh, József; Bollobás, Béla; Morris, Robert; Riordan, Oliver 16 2012 Walks and paths in trees. Zbl 1242.05055Bollobás, Béla; Tyomkyn, Mykhaylo 15 2012 Graph bootstrap percolation. Zbl 1279.68243Balogh, József; Bollobás, Béla; Morris, Robert 14 2012 Asymptotic normality of the size of the giant component in a random hypergraph. Zbl 1255.05125Bollobás, Béla; Riordan, Oliver 12 2012 Projections, entropy and sumsets. Zbl 1299.60013Balister, Paul; Bollobás, Béla 11 2012 Asymptotic normality of the size of the giant component via a random walk. Zbl 1237.05192Bollobás, Béla; Riordan, Oliver 9 2012 Degree powers in graphs: the Erdős-Stone theorem. Zbl 1241.05021Bollobás, Béla; Nikiforov, Vladimir 8 2012 Lion and man – can both win? Zbl 1260.91029Bollobás, B.; Leader, I.; Walters, M. 6 2012 A simple branching process approach to the phase transition in \(G_{n,p}\). Zbl 1266.05149Bollobás, Béla; Riordan, Oliver 2 2012 Monotone graph limits and quasimonotone graphs. Zbl 1258.05121Bollobás, Béla; Janson, Svante; Riordan, Oliver 1 2012 Sparse graphs: metrics and random models. Zbl 1223.05271Bollobás, Béla; Riordan, Oliver 25 2011 The structure of almost all graphs in a hereditary property. Zbl 1217.05193Alon, Noga; Balogh, József; Bollobás, Béla; Morris, Robert 24 2011 Sparse random graphs with clustering. Zbl 1220.05117Bollobás, Béla; Janson, Svante; Riordan, Oliver 16 2011 The fine structure of octahedron-free graphs. Zbl 1239.05098Balogh, József; Bollobás, Béla; Simonovits, Miklós 11 2011 Hamilton cycles in random geometric graphs. Zbl 1222.05235Balogh, József; Bollobás, Béla; Krivelevich, Michael; Müller, Tobias; Walters, Mark 9 2011 Daisies and other Turán problems. Zbl 1293.05381Bollobás, Béla; Leader, Imre; Malvenuto, Claudia 5 2011 On covering by translates of a set. Zbl 1238.05049Bollobás, Béla; Janson, Svante; Riordan, Oliver 5 2011 Intersections of graphs. Zbl 1294.05134Bollobás, Béla; Scott, Alex 4 2011 The lion and the Christian, and other pursuit and evasion games. Zbl 1315.91010Bollobás, Béla 1 2011 Shadows of ordered graphs. Zbl 1232.05104Bollobás, Béla; Brightwell, Graham; Morris, Robert 1 2011 Bootstrap percolation in high dimensions. Zbl 1263.60082Balogh, József; Bollobás, Béla; Morris, Robert 33 2010 Random majority percolation. Zbl 1202.60152Balister, Paul; Bollobás, Béla; Johnson, J. Robert; Walters, Mark 25 2010 Max \(k\)-cut and judicious \(k\)-partitions. Zbl 1227.05171Bollobás, Béla; Scott, Alex 13 2010 Percolation on dense graph sequences. Zbl 1190.60090Bollobás, Béla; Borgs, Christian; Chayes, Jennifer; Riordan, Oliver 10 2010 Percolation on self-dual polygon configurations. Zbl 1215.05021Bollobás, Béla; Riordan, Oliver 8 2010 The cut metric, random graphs, and branching processes. Zbl 1197.82056Bollobás, Béla; Janson, Svante; Riordan, Oliver 6 2010 Sentry selection in wireless networks. Zbl 1209.05221Balister, Paul; Bollobás, Béla; Sarkar, Amites; Walters, Mark 5 2010 The number of graphs with large forbidden subgraphs. Zbl 1245.05091Bollobás, Béla; Nikiforov, Vladimir 3 2010 Erratum to: percolation on random Johnson-Mehl tessellations and related models. Zbl 1185.60105Bollobás, Béla; Riordan, Oliver 2 2010 Bootstrap percolation in three dimensions. Zbl 1187.60082Balogh, József; Bollobás, Béla; Morris, Robert 43 2009 Metrics for sparse graphs. Zbl 1182.05106Bollobás, Béla; Riordan, Oliver 32 2009 Majority bootstrap percolation on the hypercube. Zbl 1198.60041Balogh, József; Bollobás, Béla; Morris, Robert 28 2009 The typical structure of graphs without given excluded subgraphs. Zbl 1227.05216Balogh, József; Bollobás, Béla; Simonovits, Miklós 23 2009 Clique percolation. Zbl 1205.60165Bollobás, Béla; Riordan, Oliver 8 2009 Highly connected random geometric graphs. Zbl 1156.05054Balister, Paul; Bollobás, Béla; Sarkar, Amites; Walters, Mark 6 2009 Line-of-sight percolation. Zbl 1216.05140Bollobás, Béla; Janson, Svante; Riordan, Oliver 5 2009 The unlabelled speed of a hereditary graph property. Zbl 1168.05042Balogh, József; Bollobás, Béla; Saks, Michael; Sós, Vera T. 5 2009 A critical constant for the \(k\) nearest-neighbour model. Zbl 1160.05333Balister, Paul; Bollobás, Béla; Sarkar, Amites; Walters, Mark 5 2009 Handbook of large-scale random networks. Zbl 1170.05053 2 2009 Random transceiver networks. Zbl 1220.60056Balister, Paul; Bollobás, Béla; Walters, Mark 1 2009 Pentagons vs. triangles. Zbl 1152.05034Bollobás, Béla; Győri, Ervin 34 2008 Highly connected monochromatic subgraphs. Zbl 1137.05025Bollobás, Béla; Gyárfás, András 14 2008 Packing \(d\)-degenerate graphs. Zbl 1130.05046Bollobás, Béla; Kostochka, Alexandr; Nakprasit, Kittikorn 9 2008 Connectivity of addable graph classes. Zbl 1145.05033Balister, Paul; Bollobás, Béla; Gerke, Stefanie 7 2008 Joints in graphs. Zbl 1131.05049Bollobás, Béla; Nikiforov, Vladimir 6 2008 Percolation on random Johnson-Mehl tessellations and related models. Zbl 1135.60057Bollobás, Béla; Riordan, Oliver 6 2008 Percolation on dual lattices with \(k\)-fold symmetry. Zbl 1152.60075Bollobás, Béla; Riordan, Oliver 4 2008 Eliminating cycles in the discrete torus. Zbl 1140.05019Bollobás, Béla; Kindler, Guy; Leader, Imre; O’Donnell, Ryan 1 2008 Graphs and Hermitian matrices: Exact interlacing. Zbl 1225.05159Bollobás, Béla; Nikiforov, Vladimir 1 2008 An abstract Szemerédi regularity lemma. Zbl 1188.05079Bollobás, Béla; Nikiforov, Vladimir 1 2008 The phase transition in inhomogeneous random graphs. Zbl 1123.05083Bollobàs, Bela; Janson, Svante; Riordan, Oliver 179 2007 On separating systems. Zbl 1113.05097Bollobás, Béla; Scott, Alex 23 2007 Cliques and the spectral radius. Zbl 1124.05058Bollobás, Béla; Nikiforov, Vladimir 15 2007 Maximum directed cuts in acyclic digraphs. Zbl 1117.05056Alon, Noga; Bollobás, Béla; Gyárfás, András; Lehel, Jenő; Scott, Alex 12 2007 Counting regions with bounded surface area. Zbl 1135.82004Balister, P. N.; Bollobás, B. 8 2007 The generalized Randić index of trees. Zbl 1134.05017Balister, Paul; Bollobás, Béla; Gerke, Stefanie 7 2007 Separating systems and oriented graphs of diameter two. Zbl 1109.05103Bollobás, Béla; Scott, Alex 6 2007 Spread-out percolation in \(\mathbb R^d\). Zbl 1130.60090Bollobás, Béla; Janson, Svante; Riordan, Oliver 5 2007 Hereditary properties of tournaments. Zbl 1159.05022Balogh, József; Bollobás, Béla; Morris, Robert 5 2007 Hereditary properties of combinatorial structures: posets and oriented graphs. Zbl 1135.05024Balogh, József; Bollobás, Béla; Morris, Robert 4 2007 ...and 332 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 6,807 Authors 172 Bollobás, Béla 65 Sudakov, Benny 63 Frieze, Alan Michael 62 Alon, Noga M. 57 Balogh, József 51 Krivelevich, Michael 45 Janson, Svante 45 van der Hofstad, Remco W. 42 Furedi, Zoltan 37 Yuster, Raphael 36 Wormald, Nicholas Charles 35 Frankl, Péter 34 Li, Xueliang 33 Łuczak, Tomasz 33 Prałat, Paweł 32 Morris, Robert D. 32 Nikiforov, Vladimir S. 32 Riordan, Oliver Maxim 31 Balister, Paul N. 31 Henning, Michael Anthony 31 Zhukovskiĭ, Maksim Evgen’evich 30 Kostochka, Aleksandr Vasil’evich 28 Osthus, Deryk 28 Thomason, Andrew G. 27 Kohayakawa, Yoshiharu 27 Tuza, Zsolt 26 Kühn, Daniela 25 Erdős, Pál 25 Pikhurko, Oleg 25 Rautenbach, Dieter 24 Scott, Alexander D. 23 Cooper, Colin 23 Kang, Mihyun 23 Mubayi, Dhruv 22 Leader, Imre 22 Pittel, Boris G. 21 Fountoulakis, Nikolaos 21 Kim, Sun Kwang 21 Raĭgorodskiĭ, Andreĭ Mikhaĭlovich 21 Shi, Yongtang 21 Yu, Xingxing 20 Bhamidi, Shankar 20 Dudek, Andrzej 20 Li, Shuchao 19 Kahn, Jeff D. 19 McDiarmid, Colin J. H. 19 Moffatt, Iain 18 Caro, Yair 18 Fox, Jacob 18 Hou, Jianfeng 18 Lubetzky, Eyal 18 Makowsky, Johann-Andreas 18 Pach, János 18 Rodl, Vojtech 18 Steger, Angelika 17 Brightwell, Graham R. 17 Coja-Oghlan, Amin 17 Duminil-Copin, Hugo 17 Gerbner, Dániel 17 Grimmett, Geoffrey R. 17 Jin, Xian’an 17 Loh, Po-Shen 17 Lozin, Vadim Vladislavovich 17 Sarkozy, Gabor N. 17 Szemerédi, Endre 17 Zhang, Shenggui 16 Borgs, Christian 16 Chayes, Jennifer Tour 16 Keevash, Peter 16 Li, Hao 16 Person, Yury Aleksandrovic 16 Reed, Bruce Alan 16 Spirakis, Paul G. 15 Chang, Shu-Chiuan 15 Kang, Ross J. 15 Martín Suarez, Miguel 15 Ruciński, Andrzej 15 Woźniak, Mariusz 14 Bonato, Anthony 14 Győri, Ervin 14 Katona, Gyula O. H. 14 Komjáthy, Júlia 14 Kupavskii, Andrey 14 Lee, Han Ju 14 Ma, Jie 14 Mota, Guilherme Oliveira 14 Patkós, Balázs 14 Shang, Yilun 14 Simonovits, Miklós 14 Traldi, Lorenzo 14 West, Douglas Brent 14 Xu, Baogang 13 Acosta Vigil, María Dolores 13 Hefetz, Dan 13 Kim, Jeong Han 13 Lazebnik, Felix 13 Linial, Nathan 13 Mitsche, Dieter 13 Nešetřil, Jaroslav 13 Shrock, Robert E. ...and 6,707 more Authors all top 5 Cited in 558 Serials 649 Discrete Mathematics 347 Discrete Applied Mathematics 259 Journal of Combinatorial Theory. Series B 230 European Journal of Combinatorics 208 Combinatorics, Probability and Computing 193 Theoretical Computer Science 189 Random Structures & Algorithms 168 Graphs and Combinatorics 137 Journal of Graph Theory 129 Journal of Combinatorial Theory. 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