Edit Profile Bollobás, Béla Compute Distance To: Compute Author ID: bollobas.bela Published as: Bollabás, Béla; Bollobas, B.; Bollobas, Bela; Bollobas, Béla; Bollobàs, Bela; Bollobás, B.; Bollobás, Bela; Bollobás, Béla; Boolobás, Béla Homepage: https://www.memphis.edu/msci/people/bollobas.php External Links: MGP · Wikidata · ResearchGate · dblp · GND · MacTutor Documents Indexed: 511 Publications since 1962, including 31 Books Biographic References: 2 Publications all top 5 Co-Authors 125 single-authored 58 Riordan, Oliver Maxim 52 Balister, Paul N. 29 Balogh, József 29 Leader, Imre 24 Scott, Alexander D. 20 Brightwell, Graham R. 19 Morris, Robert D. 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 Schelp, Richard Herbert 5 Borgs, Christian 5 Chayes, Jennifer Tour 5 Cockayne, Ernest J. 5 Eldridge, Stephen E. 5 Fenner, Trevor I. 5 Sahasrabudhe, Julian 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 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 Tiba, Marius 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 Hind, Hugh R. 2 Holmgren, Cecilia Ingrid 2 Kindler, Guy 2 Letzter, Shoham 2 Morayne, Michał 2 Morris, Rob R. 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 K. 1 Daykin, David E. 1 Egawa, Yoshimi 1 Faudree, Ralph Jasper jun. ...and 93 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 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 Proceedings of Symposia in Applied Mathematics 1 Regional Conference Series in Mathematics 1 Theory of Computing 1 Forum of Mathematics, Sigma all top 5 Fields 392 Combinatorics (05-XX) 116 Probability theory and stochastic processes (60-XX) 36 Computer science (68-XX) 25 Statistical mechanics, structure of matter (82-XX) 21 General and overarching topics; collections (00-XX) 17 Order, lattices, ordered algebraic structures (06-XX) 16 Convex and discrete geometry (52-XX) 14 Number theory (11-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 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 430 Publications have been cited 8,514 times in 5,818 Documents Cited by ▼ Year ▼ Modern graph theory. Zbl 0902.05016Bollobás, Béla 674 1998 Extremal graph theory. Zbl 0419.05031Bollobas, Bela 444 1978 Random graphs. 2nd ed. Zbl 0979.05003Bollobás, Béla 422 2001 Random graphs. Zbl 0567.05042Bollobás, Béla 377 1985 Extremal graph theory. Reprint of the 1978 original. Zbl 1099.05044Bollobás, Béla 368 2004 A probabilistic proof of an asymptotic formula for the number of labelled regular graphs. Zbl 0457.05038Bollobas, Bela 216 1980 The phase transition in inhomogeneous random graphs. Zbl 1123.05083Bollobàs, Bela; Janson, Svante; Riordan, Oliver 167 2007 Paths in graphs. Zbl 0997.05049Bollobás, B.; Sarkar, A. 158 2001 Graphs of extremal weights. Zbl 0963.05068Bollobás, Béla; Erdős, Paul 146 1998 Combinatorics. Set systems, hypergraphs, families of vectors and combinatorial probability. Zbl 0595.05001Bollobás, Béla 133 1986 The degree sequence of a scale-free random graph process. Zbl 0985.05047Bollobás, Béla; Riordan, Oliver; Spencer, Joel; Tusnády, Gábor 129 2001 On generalized graphs. Zbl 0138.19404Bollobás, B. 124 1965 Graph theory. An introductory course. Zbl 0411.05032Bollobas, Bela 122 1979 Graph-theoretic parameters concerning domination, independence, and irredundance. Zbl 0418.05049Bollobas, B.; Cockayne, E. J. 118 1979 Random graphs. Zbl 0489.05050Bollobas, Bela 102 1981 The chromatic number of random graphs. Zbl 0666.05033Bollobás, Béla 82 1988 Extremal graph theory. Zbl 0844.05054Bollobás, Béla 78 1995 Cliques in random graphs. Zbl 0344.05155Bollobás, Béla; Erdős, Paul 77 1976 Percolation. Zbl 1118.60001Bollobás, Béla; Riordan, Oliver 74 2006 The diameter of a scale-free random graph. Zbl 1047.05038Bollobás, B.; Riordan, O. 74 2004 The evolution of random graphs. Zbl 0579.05046Bollobás, Béla 73 1984 Graph theory. An introductory course. Corr. 3rd printing. Zbl 0688.05016Bollobás, Béla 69 1990 An extension to the theorem of Bishop and Phelps. Zbl 0217.45104Bollobás, B. 68 1970 A polynomial of graphs on surfaces. Zbl 1004.05021Bollobás, Béla; Riordan, Oliver 65 2002 The sharp threshold for bootstrap percolation in all dimensions. Zbl 1238.60108Balogh, József; Bollobás, Béla; Duminil-Copin, Hugo; Morris, Robert 60 2012 Problems and results on judicious partitions. Zbl 1013.05059Bollobás, B.; Scott, A. D. 55 2002 Packings of graphs and applications to computational complexity. Zbl 0387.05020Bollobás, Béla; Eldridge, Stephen E. 52 1978 A polynomial invariant of graphs on orientable surfaces. Zbl 1015.05024Bollobás, Béla; Riordan, Oliver 50 2001 Threshold functions for small subgraphs. Zbl 0475.05074Bollobas, Bela 49 1981 Projections of bodies and hereditary properties of hypergraphs. Zbl 0836.05072Bollobás, Béla; Thomason, Andrew 48 1995 Threshold functions. Zbl 0648.05048Bollobás, Béla; Thomason, A. 47 1987 Directed scale-free graphs. Zbl 1094.68605Bollobás, Béla; Borgs, Christian; Chayes, Jennifer; Riordan, Oliver 45 2003 A Tutte polynomial for coloured graphs. Zbl 0926.05017Bollobás, Béla; Riordan, Oliver 45 1999 The critical probability for random Voronoi percolation in the plane is 1/2. Zbl 1100.60054Bollobás, Béla; Riordan, Oliver 43 2006 Sets of independent edges of a hypergraph. Zbl 0337.05135Bollobás, Béla; Daykin, D. E.; Erdős, Paul 43 1976 The scaling window of the 2-SAT transition. Zbl 0979.68053Bollobás, Béla; Borgs, Christian; Chayes, Jennifer T.; Kim, Jeong Han; Wilson, David B. 42 2001 Edge-isoperimetric inequalities in the grid. Zbl 0755.05045Bollobás, Béla; Leader, Imre 42 1991 The isoperimetric number of random regular graphs. Zbl 0673.05086Bollobás, Béla 42 1988 Bootstrap percolation in three dimensions. Zbl 1187.60082Balogh, József; Bollobás, Béla; Morris, Robert 41 2009 Bootstrap percolation on the hypercube. Zbl 1087.60068Balogh, József; Bollobás, Béla 40 2006 Robustness and vulnerability of scale-free random graphs. Zbl 1062.05080Bollobás, Béla; Riordan, Oliver 38 2003 Hereditary and monotone properties of graphs. Zbl 0866.05030Bollobás, Béla; Thomason, Andrew 38 1997 The number of matchings in random regular graphs and bipartite graphs. Zbl 0602.05050Bollobás, Béla; McKay, B. D. 38 1986 Better bounds for Max Cut. Zbl 1014.90082Bollobás, B.; Scott, A. D. 37 2002 Exact bounds for judicious partitions of graphs. Zbl 0985.05028Bollobás, B.; Scott, A. D. 37 1999 Highly linked graphs. Zbl 0870.05044Bollobás, Béla; Thomason, Andrew 37 1996 The speed of hereditary properties of graphs. Zbl 1026.05062Balogh, József; Bollobás, Béla; Weinreich, David 36 2000 Proof of a conjecture of Mader, Erdős and Hajnal on topological complete subgraphs. Zbl 0918.05095Bollobás, Béla; Thomason, Andrew 36 1998 On complete subgraphs of different orders. Zbl 0325.05117Bollobas, Bela 36 1976 The interlace polynomial of a graph. Zbl 1060.05062Arratia, Richard; Bollobás, Béla; Sorkin, Gregory B. 34 2004 Compressions and isoperimetric inequalities. Zbl 0731.05043Bollobás, Béla; Leader, Imre 34 1991 List-colourings of graphs. Zbl 0606.05027Bollobás, Béla; Harris, A. J. 33 1985 Cycles through specified vertices. Zbl 0780.05033Bollobás, Béla; Brightwell, Graham 31 1993 Hadwiger’s conjecture is true for almost every graph. Zbl 0457.05041Bollobás, Béla; Catlin, Paul A.; Erdős, Pál 31 1980 Alternating Hamiltonian cycles. Zbl 0325.05114Bollobás, Béla; Erdős, Paul 31 1976 Pentagons vs. triangles. Zbl 1152.05034Bollobás, Béla; Győri, Ervin 30 2008 Maximum cuts and judicious partitions in graphs without short cycles. Zbl 1030.05060Alon, Noga; Bollobás, Béla; Krivelevich, Michael; Sudakov, Benny 30 2003 Vertex distinguishing colorings of graphs with \(\Delta(G)=2\). Zbl 1005.05019Balister, P. N.; Bollobás, B.; Schelp, R. H. 30 2002 Bootstrap percolation in high dimensions. Zbl 1263.60082Balogh, József; Bollobás, Béla; Morris, Robert 29 2010 Three-graphs without two triples whose symmetric difference is contained in a third. Zbl 0291.05114Bollobas, Bela 29 1974 On the stability of the Erdős-Ko-Rado theorem. Zbl 1325.05145Bollobás, Béla; Narayanan, Bhargav P.; Raigorodskii, Andrei M. 28 2016 The art of mathematics. Coffee time in Memphis. Zbl 1238.00002Bollobás, Béla 28 2006 The number of graphs without forbidden subgraphs. Zbl 1044.05044Balogh, József; Bollobás, Béla; Simonovits, Miklós 27 2004 The diameter of a cycle plus a random matching. Zbl 0664.05036Bollobás, Béla; Chung, F. R. K. 27 1988 On a Ramsey-Turán type problem. Zbl 0337.05134Bollobás, Béla; Erdős, Paul 27 1976 Majority bootstrap percolation on the hypercube. Zbl 1198.60041Balogh, József; Bollobás, Béla; Morris, Robert 26 2009 The diameter of random regular graphs. Zbl 0505.05053Bollobas, B.; Fernandez de la Vega, W. 26 1982 Graphs which contain all small graphs. Zbl 0471.05037Bollobas, Bela; Thomason, Andrew 26 1981 Metrics for sparse graphs. Zbl 1182.05106Bollobás, Béla; Riordan, Oliver 25 2009 Advances in graph theory. Zbl 0367.00008Bollobas, B. (ed.) 25 1978 The structure of almost all graphs in a hereditary property. Zbl 1217.05193Alon, Noga; Balogh, József; Bollobás, Béla; Morris, Robert 24 2011 Sperner systems consisting of pairs of complementary subsets. Zbl 0281.05001Bollobás, Béla 24 1973 Sparse graphs: metrics and random models. Zbl 1223.05271Bollobás, Béla; Riordan, Oliver 23 2011 Random majority percolation. Zbl 1202.60152Balister, Paul; Bollobás, Béla; Johnson, J. Robert; Walters, Mark 23 2010 Judicious partitions of hypergraphs. Zbl 0884.05066Bollobás, B.; Scott, A. D. 22 1997 Cops and robbers in a random graph. Zbl 1261.05064Bollobás, Béla; Kun, Gábor; Leader, Imre 21 2013 The typical structure of graphs without given excluded subgraphs. Zbl 1227.05216Balogh, József; Bollobás, Béla; Simonovits, Miklós 21 2009 Sums in the grid. Zbl 0872.11007Bollobás, Béla; Leader, Imre 21 1996 Degree sequences of random graphs. Zbl 0447.05038Bollobas, Bela 21 1981 On separating systems. Zbl 1113.05097Bollobás, Béla; Scott, Alex 20 2007 A two-variable interlace polynomial. Zbl 1064.05139Arratia, Richard; Bollobás, Béla; Sorkin, Gregory B. 20 2004 The interlace polynomial: A new graph polynomial. Zbl 0955.05066Arratia, Richard; Bollobás, Béla; Sorkin, Gregory B. 20 2000 Extremal graphs for weights. Zbl 0933.05081Bollobás, Béla; Erdős, Paul; Sarkar, Amites 20 1999 An algorithm for finding Hamilton paths and cycles in random graphs. Zbl 0638.05036Bollobás, Béla; Fenner, T. I.; Frieze, A. M. 20 1987 The independence ratio of regular graphs. Zbl 0474.05057Bollobas, Bela 20 1981 Uniquely colourable graphs with large girth. Zbl 0344.05115Bollobas, Bela; Sauer, Norbert 19 1976 Monotone cellular automata in a random environment. Zbl 1371.60170Bollobás, Béla; Smith, Paul; Uzzell, Andrew 18 2015 The structure of hereditary properties and colourings of random graphs. Zbl 0959.05105Bollobás, Béla; Thomason, Andrew 18 2000 The height of a random partial order: Concentration of measure. Zbl 0758.06001Bollobás, Béla; Brightwell, Graham 18 1992 The evolution of random subgraphs on the cube. Zbl 0779.05045Bollobás, Béla; Kohayakawa, Y.; Łuczak, T. 18 1992 Almost every graph has reconstruction number three. Zbl 0702.05061Bollobás, Béla 18 1990 The evolution of sparse graphs. Zbl 0552.05047Bollobás, Béla 18 1984 Proving integrality gaps without knowing the linear program. Zbl 1213.68306Arora, Sanjeev; Bollobás, Béla; Lovász, László; Tourlakis, Iannis 17 2006 The penultimate rate of growth for graph properties. Zbl 0979.05061Balogh, József; Bollobás, Béla; Weinreich, David 17 2001 Contraction-deletion invariants for graphs. Zbl 1024.05028Bollobás, Béla; Pebody, Luke; Riordan, Oliver 17 2000 Euler circuits and DNA sequencing by hybridization. Zbl 0997.92014Arratia, Richard; Bollobás, Béla; Coppersmith, Don; Sorkin, Gregory B. 17 2000 An Erdős-Ko-Rado theorem for signed sets. Zbl 0901.05088Bollobás, B.; Leader, I. 17 1997 Regular factors of regular graphs. Zbl 0612.05049Bollobás, Béla; Saito, Akira; Wormald, N. C. 17 1985 On matchings and Hamiltonian cycles in random graphs. Zbl 0592.05052Bollobás, Béla; Frieze, Alan M. 17 1985 On the structure of edge graphs. Zbl 0277.05135Bollobás, Béla; Erdős, Paul 17 1973 Dense subgraphs in random graphs. Zbl 1409.05180Balister, Paul; Bollobás, Béla; Sahasrabudhe, Julian; Veremyev, Alexander 1 2019 Line percolation. Zbl 1394.60097Balister, Paul; Bollobás, Béla; Lee, Jonathan; Narayanan, Bhargav 3 2018 Random geometric graphs and isometries of normed spaces. Zbl 1393.05239Balister, Paul; Bollobás, Béla; Gunderson, Karen; Leader, Imre; Walters, Mark 1 2018 Eigenvalues of subgraphs of the cube. Zbl 1384.05106Bollobás, Béla; Lee, Jonathan; Letzter, Shoham 1 2018 The sharp threshold for the Duarte model. Zbl 1454.60141Bollobás, Béla; Duminil-Copin, Hugo; Morris, Robert; Smith, Paul 10 2017 Packing random graphs and hypergraphs. Zbl 1370.05166Bollobás, Béla; Janson, Svante; Scott, Alex 4 2017 Exploring hypergraphs with martingales. Zbl 1364.05051Bollobás, Béla; Riordan, Oliver 3 2017 Jigsaw percolation on random hypergraphs. Zbl 1396.05099Bollobás, Béla; Cooley, Oliver; Kang, Mihyun; Koch, Christoph 2 2017 Catching a fast robber on the grid. Zbl 1369.05145Balister, Paul; Shaw, Amy; Bollobás, Béla; Narayanan, Bhargav 2 2017 The threshold for jigsaw percolation on random graphs. Zbl 1366.05096Bollobás, Béla; Riordan, Oliver; Slivken, Erik; Smith, Paul 2 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 15 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 1 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 18 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 7 2015 The time of bootstrap percolation with dense initial sets for all thresholds. Zbl 1323.60124Bollobas, Béla; Smith, Paul; Uzzell, Andrew J. 5 2015 Intersections of hypergraphs. Zbl 1303.05131Bollobás, Béla; Scott, Alex 2 2015 A coding problem for pairs of subsets. Zbl 1327.94091Bollobás, Béla; Füredi, Zoltán; Kantor, Ida; Katona, Gyula O. H.; Leader, Imre 1 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 random hypergraphs and tournaments. Zbl 1302.05165Bollobás, Béla; Scott, Alex 1 2015 The time of bootstrap percolation with dense initial sets. Zbl 1311.60113Bollobás, Béla; Holmgren, Cecilia; Smith, Paul; Uzzell, Andrew J. 7 2014 Bootstrap percolation on Galton-Watson trees. Zbl 1290.05058Bollobás, Béla; Gunderson, Karen; Holmgren, Cecilia; Janson, Svante; Przykucki, Michał 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 21 2013 Cover-decomposition and polychromatic numbers. Zbl 1268.05061Bollobás, Béla; Pritchard, David; Rothvoss, Thomas; Scott, Alex 6 2013 Union-closed families of sets. Zbl 1259.05177Balla, Igor; Bollobás, Béla; Eccles, Tom 6 2013 Metric dimension for random graphs. Zbl 1295.05095Bollobás, Béla; Mitsche, Dieter; Prałat, Paweł 5 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 5 2013 Repeated degrees in random uniform hypergraphs. Zbl 1268.05141Balister, Paul; Bollobás, Béla; Lehel, Jenö; Morayne, Michał 2 2013 The phase transition in the Erdős-Rényi random graph process. Zbl 1293.05351Bollobás, Béla; Riordan, Oliver 1 2013 The sharp threshold for bootstrap percolation in all dimensions. Zbl 1238.60108Balogh, József; Bollobás, Béla; Duminil-Copin, Hugo; Morris, Robert 60 2012 Walks and paths in trees. Zbl 1242.05055Bollobás, Béla; Tyomkyn, Mykhaylo 13 2012 Linear algebra and bootstrap percolation. Zbl 1242.05190Balogh, József; Bollobás, Béla; Morris, Robert; Riordan, Oliver 12 2012 Asymptotic normality of the size of the giant component in a random hypergraph. Zbl 1255.05125Bollobás, Béla; Riordan, Oliver 10 2012 Projections, entropy and sumsets. Zbl 1299.60013Balister, Paul; Bollobás, Béla 9 2012 Asymptotic normality of the size of the giant component via a random walk. Zbl 1237.05192Bollobás, Béla; Riordan, Oliver 9 2012 Graph bootstrap percolation. Zbl 1279.68243Balogh, József; Bollobás, Béla; Morris, Robert 8 2012 Lion and man – can both win? Zbl 1260.91029Bollobás, B.; Leader, I.; Walters, M. 6 2012 Degree powers in graphs: the Erdős-Stone theorem. Zbl 1241.05021Bollobás, Béla; Nikiforov, Vladimir 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 2 2012 The structure of almost all graphs in a hereditary property. Zbl 1217.05193Alon, Noga; Balogh, József; Bollobás, Béla; Morris, Robert 24 2011 Sparse graphs: metrics and random models. Zbl 1223.05271Bollobás, Béla; Riordan, Oliver 23 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 12 2011 Hamilton cycles in random geometric graphs. Zbl 1222.05235Balogh, József; Bollobás, Béla; Krivelevich, Michael; Müller, Tobias; Walters, Mark 9 2011 On covering by translates of a set. Zbl 1238.05049Bollobás, Béla; Janson, Svante; Riordan, Oliver 5 2011 Daisies and other Turán problems. Zbl 1293.05381Bollobás, Béla; Leader, Imre; Malvenuto, Claudia 4 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 Bootstrap percolation in high dimensions. Zbl 1263.60082Balogh, József; Bollobás, Béla; Morris, Robert 29 2010 Random majority percolation. Zbl 1202.60152Balister, Paul; Bollobás, Béla; Johnson, J. Robert; Walters, Mark 23 2010 Max \(k\)-cut and judicious \(k\)-partitions. Zbl 1227.05171Bollobás, Béla; Scott, Alex 12 2010 Percolation on dense graph sequences. Zbl 1190.60090Bollobás, Béla; Borgs, Christian; Chayes, Jennifer; Riordan, Oliver 8 2010 Percolation on self-dual polygon configurations. Zbl 1215.05021Bollobás, Béla; Riordan, Oliver 7 2010 The cut metric, random graphs, and branching processes. Zbl 1197.82056Bollobás, Béla; Janson, Svante; Riordan, Oliver 7 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 2 2010 Erratum to: percolation on random Johnson-Mehl tessellations and related models. Zbl 1185.60105Bollobás, Béla; Riordan, Oliver 2 2010 Connectivity of random addable graphs. Zbl 1231.05155Balister, Paul; Bollobás, Béla; Gerke, Stefanie 1 2010 Bootstrap percolation in three dimensions. Zbl 1187.60082Balogh, József; Bollobás, Béla; Morris, Robert 41 2009 Majority bootstrap percolation on the hypercube. Zbl 1198.60041Balogh, József; Bollobás, Béla; Morris, Robert 26 2009 Metrics for sparse graphs. Zbl 1182.05106Bollobás, Béla; Riordan, Oliver 25 2009 The typical structure of graphs without given excluded subgraphs. Zbl 1227.05216Balogh, József; Bollobás, Béla; Simonovits, Miklós 21 2009 Clique percolation. Zbl 1205.60165Bollobás, Béla; Riordan, Oliver 6 2009 Highly connected random geometric graphs. Zbl 1156.05054Balister, Paul; Bollobás, Béla; Sarkar, Amites; Walters, Mark 6 2009 A critical constant for the \(k\) nearest-neighbour model. Zbl 1160.05333Balister, Paul; Bollobás, Béla; Sarkar, Amites; Walters, Mark 5 2009 Line-of-sight percolation. Zbl 1216.05140Bollobás, Béla; Janson, Svante; Riordan, Oliver 4 2009 The unlabelled speed of a hereditary graph property. Zbl 1168.05042Balogh, József; Bollobás, Béla; Saks, Michael; Sós, Vera T. 4 2009 Handbook of large-scale random networks. Zbl 1170.05053Bollobás, Béla (ed.); Kozma, Robert (ed.); Miklós, Dezső (ed.) 4 2009 Random transceiver networks. Zbl 1220.60056Balister, Paul; Bollobás, Béla; Walters, Mark 1 2009 Pentagons vs. triangles. Zbl 1152.05034Bollobás, Béla; Győri, Ervin 30 2008 Highly connected monochromatic subgraphs. Zbl 1137.05025Bollobás, Béla; Gyárfás, András 15 2008 Packing \(d\)-degenerate graphs. Zbl 1130.05046Bollobás, Béla; Kostochka, Alexandr; Nakprasit, Kittikorn 10 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 5 2008 Percolation on dual lattices with \(k\)-fold symmetry. Zbl 1152.60075Bollobás, Béla; Riordan, Oliver 3 2008 Graphs and Hermitian matrices: Exact interlacing. Zbl 1225.05159Bollobás, Béla; Nikiforov, Vladimir 1 2008 The phase transition in inhomogeneous random graphs. Zbl 1123.05083Bollobàs, Bela; Janson, Svante; Riordan, Oliver 167 2007 On separating systems. Zbl 1113.05097Bollobás, Béla; Scott, Alex 20 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 Cliques and the spectral radius. Zbl 1124.05058Bollobás, Béla; Nikiforov, Vladimir 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 4 2007 Hereditary and monotone properties of combinatorial structure. Zbl 1129.05020Bollobás, Béla 3 2007 Hereditary properties of combinatorial structures: posets and oriented graphs. Zbl 1135.05024Balogh, József; Bollobás, Béla; Morris, Robert 2 2007 Degree distribution of the FKP network model. Zbl 1149.90030Berger, Noam; Bollobás, Béla; Borgs, Christian; Chayes, Jennifer; Riordan, Oliver 2 2007 Percolation. Zbl 1118.60001Bollobás, Béla; Riordan, Oliver 74 2006 The critical probability for random Voronoi percolation in the plane is 1/2. Zbl 1100.60054Bollobás, Béla; Riordan, Oliver 43 2006 Bootstrap percolation on the hypercube. Zbl 1087.60068Balogh, József; Bollobás, Béla 40 2006 The art of mathematics. Coffee time in Memphis. Zbl 1238.00002Bollobás, Béla 28 2006 Proving integrality gaps without knowing the linear program. Zbl 1213.68306Arora, Sanjeev; Bollobás, Béla; Lovász, László; Tourlakis, Iannis 17 2006 ...and 330 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 6,547 Authors 175 Bollobás, Béla 64 Alon, Noga M. 61 Frieze, Alan Michael 59 Sudakov, Benny 53 Balogh, József 46 Krivelevich, Michael 42 Furedi, Zoltan 42 Janson, Svante 41 Nikiforov, Vladimir S. 40 van der Hofstad, Remco W. 37 Wormald, Nicholas Charles 37 Yuster, Raphael 33 Łuczak, Tomasz 32 Frankl, Péter 32 Li, Xueliang 32 Prałat, Paweł 32 Riordan, Oliver Maxim 31 Thomason, Andrew G. 30 Balister, Paul N. 30 Morris, Robert D. 29 Osthus, Deryk 28 Erdős, Pál 28 Kostochka, Aleksandr Vasil’evich 27 Kühn, Daniela 27 Tuza, Zsolt 26 Henning, Michael Anthony 26 Kohayakawa, Yoshiharu 26 Rautenbach, Dieter 24 Kang, Mihyun 24 Pikhurko, Oleg 24 Scott, Alexander D. 23 Mubayi, Dhruv 23 Pittel, Boris G. 23 Rodl, Vojtech 22 Leader, Imre 20 Cooper, Colin 20 Kim, Sun Kwang 20 Makowsky, Johann-Andreas 20 Pach, János 20 Shi, Yongtang 20 Yu, Xingxing 19 Bhamidi, Shankar 19 Dudek, Andrzej 19 Lubetzky, Eyal 19 McDiarmid, Colin J. H. 19 Raĭgorodskiĭ, Andreĭ Mikhaĭlovich 19 Zhukovskii, Maxim Evgenievich 18 Caro, Yair 18 Fountoulakis, Nikolaos 18 Li, Shuchao 18 Moffatt, Iain 17 Brightwell, Graham R. 17 Coja-Oghlan, Amin 17 Fox, Jacob 17 Hou, Jianfeng 17 Kahn, Jeff D. 17 Linial, Nathan 17 Reed, Bruce Alan 17 Sarkozy, Gabor N. 17 Steger, Angelika 17 Szemerédi, Endre 16 Duminil-Copin, Hugo 16 Grimmett, Geoffrey R. 16 Li, Hao 16 Loh, Po-Shen 16 Lozin, Vadim Vladislavovich 16 Person, Yury Aleksandrovic 16 Ruciński, Andrzej 16 Spirakis, Paul G. 16 Zhang, Shenggui 15 Chang, Shu-Chiuan 15 Keevash, Peter 15 West, Douglas Brent 15 Woźniak, Mariusz 15 Xu, Baogang 14 Bonato, Anthony 14 Borgs, Christian 14 Chayes, Jennifer Tour 14 Gerbner, Dániel 14 Győri, Ervin 14 Kang, Ross J. 14 Katona, Gyula O. H. 14 Lee, Han Ju 14 Ma, Jie 14 Martín Suarez, Miguel 14 Nešetřil, Jaroslav 14 Simonovits, Miklós 13 Brown, Jason Ira 13 Jin, Xian’an 13 Kim, Jeong Han 13 Peres, Yuval 13 Shrock, Robert E. 13 Székely, László A. 13 Traldi, Lorenzo 13 Zhu, Zhongxun 12 Hefetz, Dan 12 Kupavskii, Andrey 12 Lazebnik, Felix 12 Liu, Henry X. 12 Long, Eoin ...and 6,447 more Authors all top 5 Cited in 516 Serials 655 Discrete Mathematics 344 Discrete Applied Mathematics 283 Journal of Combinatorial Theory. Series B 222 European Journal of Combinatorics 208 Theoretical Computer Science 191 Combinatorics, Probability and Computing 189 Random Structures & Algorithms 152 Graphs and Combinatorics 144 Journal of Combinatorial Theory. 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Graph Theory 12 Mathematica Slovaca 12 Computational Geometry 12 Designs, Codes and Cryptography 12 Finite Fields and their Applications 11 Artificial Intelligence 11 Bulletin of the Australian Mathematical Society 11 Networks 11 Annals of Pure and Applied Logic 11 Distributed Computing 11 Bernoulli 11 Journal of Applied Mathematics and Computing 10 Journal of Mathematical Biology 10 Czechoslovak Mathematical Journal 10 Journal of Algebra 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 Journal of Computational and Applied Mathematics 9 Journal of Number Theory 9 Journal of the American Mathematical Society 9 Discrete Mathematics and Applications 9 Journal of Physics A: Mathematical and Theoretical 9 Discrete Mathematics, Algorithms and Applications 8 Journal of Statistical Planning and Inference 8 Quaestiones Mathematicae 8 SIAM Journal on Computing 8 Topology and its Applications 8 Geometric and Functional Analysis. GAFA 8 The Australasian Journal of Combinatorics 8 AKCE International Journal of Graphs and Combinatorics 7 Physics Reports 7 Bulletin of Mathematical Biology 7 Computing 7 Duke Mathematical Journal 7 Inventiones Mathematicae 7 Journal of Pure and Applied Algebra 7 Mathematische Annalen ...and 416 more Serials all top 5 Cited in 62 Fields 4,336 Combinatorics (05-XX) 863 Probability theory and stochastic processes (60-XX) 829 Computer science (68-XX) 348 Statistical mechanics, structure of matter (82-XX) 310 Operations research, mathematical programming (90-XX) 258 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 219 Biology and other natural sciences (92-XX) 126 Linear and multilinear algebra; matrix theory (15-XX) 125 Functional analysis (46-XX) 124 Information and communication theory, circuits (94-XX) 117 Number theory (11-XX) 114 Order, lattices, ordered algebraic structures (06-XX) 104 Statistics (62-XX) 99 Mathematical logic and foundations (03-XX) 99 Convex and discrete geometry (52-XX) 93 Manifolds and cell complexes (57-XX) 87 Dynamical systems and ergodic theory (37-XX) 72 Group theory and generalizations (20-XX) 62 Operator theory (47-XX) 50 Systems theory; control (93-XX) 44 Quantum theory (81-XX) 43 Numerical analysis (65-XX) 42 Ordinary differential equations (34-XX) 39 Geometry (51-XX) 37 Measure and integration (28-XX) 33 Algebraic geometry (14-XX) 32 Commutative algebra (13-XX) 28 Differential geometry (53-XX) 27 General topology (54-XX) 23 Functions of a complex variable (30-XX) 22 Associative rings and algebras (16-XX) 22 Partial differential equations (35-XX) 18 Real functions (26-XX) 17 Algebraic topology (55-XX) 16 Calculus of variations and optimal control; optimization (49-XX) 16 Global analysis, analysis on manifolds (58-XX) 15 History and biography (01-XX) 9 Nonassociative rings and algebras (17-XX) 9 Several complex variables and analytic spaces (32-XX) 9 Relativity and gravitational theory (83-XX) 8 Difference and functional equations (39-XX) 8 Approximations and expansions (41-XX) 7 General and overarching topics; collections (00-XX) 7 Field theory and polynomials (12-XX) 7 Topological groups, Lie groups (22-XX) 7 Abstract harmonic analysis (43-XX) 6 Mechanics of particles and systems (70-XX) 6 Mechanics of deformable solids (74-XX) 6 Fluid mechanics (76-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 4 Special functions (33-XX) 3 Category theory; homological algebra (18-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 \(K\)-theory (19-XX) 2 Integral equations (45-XX) 2 Optics, electromagnetic theory (78-XX) 1 General algebraic systems (08-XX) 1 Potential theory (31-XX) 1 Sequences, series, summability (40-XX) 1 Integral transforms, operational calculus (44-XX) 1 Geophysics (86-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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