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Most cited papers in Limits and Structures in Graph Theory

Limits and Structures in Graph Theory

What are the most cited papers in Limits and Structures in Graph Theory?

The most cited paper in Limits and Structures in Graph Theory is "Spectral Graph Theory" (Fan Chung, 1996), with 5,771 citations. Next come "A critical point for random graphs with a given degree sequence" (2,427) and "On the Shannon capacity of a graph" (1,675).

Showing 50 of 100 papers. Every paper with more than 320 citations is listed.

Most cited papers, sortable by citations and release date
#Paper
1 Spectral Graph Theory Fan Chung · Regional conference series in mathematics Conference paper 3 Dec 1996 5,771
2 A critical point for random graphs with a given degree sequence Michael S. O. Molloy, Bruce A. Reed · Random Structures and Algorithms Mar 1995 2,427
3 On the Shannon capacity of a graph László Lovász · IEEE Transactions on Information Theory 1979 1,675
4 The strong perfect graph theorem Maria Chudnovsky, Neil R. Robertson, Paul D. Seymour et al. · Annals of Mathematics Open access Jul 2006 1,300
5 A Probabilistic Proof of an Asymptotic Formula for the Number of Labelled Regular Graphs Béla Bollobás · European Journal of Combinatorics Open access Dec 1980 1,208
6 The Space Complexity of Approximating the Frequency Moments Noga Alon, Yossi Matias, Márió Szegedy · Journal of Computer and System Sciences Open access Feb 1999 1,185
7 On the ratio of optimal integral and fractional covers László Lovász · Discrete Mathematics Open access 1975 1,134
8 Connected Components in Random Graphs with Given Expected Degree Sequences Fan Chung, Linyuan Lü · Annals of Combinatorics Nov 2002 976
9 A random graph model for massive graphs William A. Aiello, Fan Chung, Linyuan Lü Conference paper May 2000 933
10 The average distances in random graphs with given expected degrees Fan Chung, Linyuan Lü · Proceedings of the National Academy of Sciences Open access 4 Dec 2002 926
11 Ergodic behavior of diagonal measures and a theorem of Szemerédi on arithmetic progressions Harry Furstenberg · Journal d Analyse Mathématique Dec 1977 886
12 On the density of families of sets N. Sauer · Journal of Combinatorial Theory Series A Open access Jul 1972 870
13 The Size of the Giant Component of a Random Graph with a Given Degree Sequence Michael S. O. Molloy, Bruce A. Reed · Combinatorics Probability Computing Open access Sep 1998 857
14 Limits of dense graph sequences László Lovász, Balázs Szegedy · Journal of Combinatorial Theory Series B Open access 22 Jun 2006 854
15 A fast and simple randomized parallel algorithm for the maximal independent set problem Noga Alon, László Babai, Alon Itai · Journal of Algorithms Dec 1986 845
16 The degree sequence of a scale‐free random graph process Béla Bollobás, Oliver M. Riordan, Joel Spencer et al. · Random Structures and Algorithms 18 Apr 2001 840
17 Min-Wise Independent Permutations Andrei Broder, Moses Charikar, ALAN M. FRIEZE et al. · Journal of Computer and System Sciences Open access Jun 2000 834
18 The primes contain arbitrarily long arithmetic progressions Benjamin Green, Terence Tao · Annals of Mathematics Open access Mar 2008 832
19 Graph Minors. XX. Wagner's conjecture Neil R. Robertson, Paul D. Seymour · Journal of Combinatorial Theory Series B Open access Nov 2004 824
20 A characterization of the minimum cycle mean in a digraph Richard M. Karp · Discrete Mathematics Open access 1978 752
21 Maxima for Graphs and a New Proof of a Theorem of Turán Theodore S. Motzkin, E. G. Straus · Canadian Journal of Mathematics Open access 1965 734
22 A new proof of Szemerédi's theorem W. T. Gowers · Geometric and Functional Analysis 15 Aug 2001 728
23 On the normal concentration of divisors, 2 Helmut Maier, Gérald Tenenbaum · Mathematical Proceedings of the Cambridge Philosophical Society 6 Jul 2009 697
24 Sharp thresholds of graph properties, and the $k$-sat problem Ehud Friedgut, appendix by Jean Bourgain · Journal of the American Mathematical Society Open access 27 May 1999 697
25 On extensions of the Brunn-Minkowski and Prékopa-Leindler theorems, including inequalities for log concave functions, and with an application to the diffusion equation Herm Jan Brascamp, Élliott H. Lieb · Journal of Functional Analysis Open access Aug 1976 688
26 On the complexity of H-coloring Pavol Hell, Jaroslav Nešetřil · Journal of Combinatorial Theory Series B Open access Feb 1990 674
27 Graph Theory and Probability P. Erdös · Birkhäuser Boston eBooks Book chapter 2009 647
28 Combinatorial Nullstellensatz Noga Alon · Combinatorics Probability Computing 1999 641
29 A note on Hamiltonian circuits Vašek Chvátal, P. Erdös · Discrete Mathematics Open access May 1972 637
30 Finding and counting given length cycles Noga Alon, Raphael Yuster, Uri Zwick · Algorithmica Mar 1997 625
31 Models of Random Regular Graphs N. C. Wormald · Cambridge University Press eBooks Book chapter Jul 1999 625
32 Tough graphs and hamiltonian circuits Vašek Chvátal · Discrete Mathematics Open access Jul 1973 624
33 Visual Cryptography for General Access Structures Giuseppe Ateniese, Carlo Blundo, Alfredo De Santis et al. · Information and Computation Open access Sep 1996 619
34 On certain polytopes associated with graphs Vašek Chvátal · Journal of Combinatorial Theory Series B Open access Apr 1975 619
35 Graph Theory and Probability Paul L. Erdos · Canadian Journal of Mathematics Open access 1959 605
36 Convergent sequences of dense graphs I: Subgraph frequencies, metric properties and testing Christian Borgs, Jennifer Chayes, L. Lovász et al. · Advances in Mathematics Open access 9 Sep 2008 604
37 Probabilistic Methods in Combinatorics Joel Spencer · Birkhäuser Basel eBooks Book chapter 1995 593
38 The maximum numbers of faces of a convex polytope Peter McMullen · Mathematika Dec 1970 589
39 Simple Constructions of Almost k‐wise Independent Random Variables Noga Alon, Oded Goldreich, Johan Håstad et al. · Random Structures and Algorithms 1992 566
40 Intersection theorems with geometric consequences Péter Frankl, R. Wilson · COMBINATORICA Dec 1981 533
41 A guided tour of chernoff bounds Torben Hagerup, Christine Rüb · Information Processing Letters Feb 1990 526
42 Every Planar Graph Is 5-Choosable Carsten Thomassen · Journal of Combinatorial Theory Series B Open access Sep 1994 520
43 Approximating clique-width and branch-width Sang‐il Oum, Paul D. Seymour · Journal of Combinatorial Theory Series B Open access 6 Jan 2006 504
44 Greedy Approximation Algorithms for Finding Dense Components in a Graph Moses Charikar · Lecture notes in computer science Conference paper 2000 495
45 Quasi-random graphs Fan Chung, Ronald Graham, R. Wilson · COMBINATORICA Dec 1989 488
46 Nonconventional ergodic averages and nilmanifolds Bernard Host, Bryna Kra · Annals of Mathematics Open access 2005 485
47 Hamiltonian circuits in random graphs L. Pósa · Discrete Mathematics Open access 1976 469
48 Optimal numberings and isoperimetric problems on graphs L. H. Harper · Journal of Combinatorial Theory Open access 1966 466
49 Paired-domination in graphs Teresa W. Haynes, Peter J. Slater · Networks Oct 1998 465
50 On a combinatorial problem in geometry H. L. Abbott, D. Hanson · Discrete Mathematics Open access 1975 461

Citations are OpenAlex's own counts, from its 2026-09-23 snapshot, so the ranking can differ from Google Scholar or Web of Science. A paper is listed for a field when OpenAlex files it under one of the field's topics; retracted papers and papers whose citation count cannot be traced to citing works are left out, and a preprint and the article it became are shown once. Release dates are OpenAlex's: where a source gave only a month or a year, that is what is shown. How the lists are chosen.