Most cited papers in Advanced Combinatorial Mathematics
What are the most cited papers in Advanced Combinatorial Mathematics?
The most cited paper in Advanced Combinatorial Mathematics is "Communication and concurrency" (Wojciech Penczek, 1990), with 3,977 citations. Next come "On the resemblance and containment of documents" (1,741) and "Representations of Coxeter groups and Hecke algebras" (1,739).
Showing 50 of 100 papers. Every paper with more than 403 citations is listed.
| # | Paper | ||
|---|---|---|---|
| 1 | Communication and concurrency Wojciech Penczek · Science of Computer Programming | May 1990 | 3,977 |
| 2 | On the resemblance and containment of documents Arndt Bröder | 22 Nov 2002 | 1,741 |
| 3 | Representations of Coxeter groups and Hecke algebras David Kazhdan, G. Lusztig · Inventiones mathematicae | Jun 1979 | 1,739 |
| 4 | State models and the jones polynomial Louis Hirsch Kauffman · Topology | 1987 | 1,478 |
| 5 | On the distribution of the length of the longest increasing subsequence of random permutations Jinho Baik, Percy A. Deift, Kurt Johansson · Journal of the American Mathematical Society | 24 Jun 1999 | 1,257 |
| 6 | State sum invariants of 3-manifolds and quantum 6j-symbols Vladimir Georgievich Turaev, Oleg Ya. Viro · Topology | Oct 1992 | 1,195 |
| 7 | Three Partition Refinement Algorithms Robert A. Paige, Robert Endre Tarjan · SIAM Journal on Computing | Dec 1987 | 1,172 |
| 8 | HARMONIC POLYLOGARITHMS Ettore Remiddi, J. A. M. Vermaseren · International Journal of Modern Physics A | 20 Feb 2000 | 1,159 |
| 9 | Probabilistic algorithms for sparse polynomials Richard E. Zippel · Lecture notes in computer science | 1979 | 1,134 |
| 10 | Statistical Ensembles of Complex, Quaternion, and Real Matrices J. Ginibre · Journal of Mathematical Physics | Mar 1965 | 1,115 |
| 11 | Ribbon graphs and their invaraints derived from quantum groups Nicolai Reshetikhin, Vladimir Georgievich Turaev · Communications in Mathematical Physics | 1990 | 1,093 |
| 12 | Phase transition of the largest eigenvalue for nonnull complex sample covariance matrices Jinho Baik, Gérard Ben Arous, Sandrine Péché · The Annals of Probability | Sep 2005 | 1,030 |
| 13 | Random generation of combinatorial structures from a uniform distribution Mark Jerrum, Leslie Gabriel Valiant, Vijay V. Vazirani · Theoretical Computer Science | 1986 | 1,013 |
| 14 | Combinatorial Enumeration Robin Pemantle, Mark Curtis Wilson, Stephen Melczer · Cambridge University Press eBooks | 8 Feb 2024 | 977 |
| 15 | The Umbral Calculus Steven Roman, Gian-Carlo Rota · Graduate texts in mathematics | Feb 1978 | 969 |
| 16 | Eight-vertex SOS model and generalized Rogers-Ramanujan-type identities George E. Andrews, R. J. Baxter, Peter J. Forrester · Journal of Statistical Physics | May 1984 | 885 |
| 17 | Software processes are software too Leon J. Osterweil | Mar 1987 | 871 |
| 18 | Singularity Analysis of Generating Functions Philippe Flajolet, Andrew M. Odlyzko · SIAM Journal on Discrete Mathematics | May 1990 | 860 |
| 19 | Min-Wise Independent Permutations Andrei Broder, Moses Charikar, ALAN M. FRIEZE et al. · Journal of Computer and System Sciences | Jun 2000 | 834 |
| 20 | Binomial determinants, paths, and hook length formulae Ira M. Gessel, Gérard Viennot · Advances in Mathematics | Dec 1985 | 794 |
| 21 | Moduli spaces of local systems and higher Teichmüller theory V. V. Fock, A. B. Goncharov · Publications mathématiques de l IHÉS | 7 Jun 2006 | 780 |
| 22 | Algorithm 448: number of multiply-restricted partitions Terry Beyer, D. F. Swinehart · Communications of the ACM | Jun 1973 | 775 |
| 23 | Random Matrix Theory and ζ(1/2+ it) Jonathan P. Keating, N. C. Snaith · Communications in Mathematical Physics | Oct 2000 | 769 |
| 24 | Holomorphic disks and topological invariants for closed three-manifolds Peter Ozsváth, Zoltán Szabó · Annals of Mathematics | May 2004 | 766 |
| 25 | On the Empirical Distribution of Eigenvalues of a Class of Large Dimensional Random Matrices Jack W. Silverstein, Zhidong Bai · Journal of Multivariate Analysis | Aug 1995 | 737 |
| 26 | The analysis of data from dyads and groups. Deborah A. Kashy, David A. Kenny | 2000 | 710 |
| 27 | The eigenvalues of random symmetric matrices Zoltán Füredi, János Komlós · COMBINATORICA | Sep 1981 | 678 |
| 28 | METHODOLOGIES IN SPECTRAL ANALYSIS OF LARGE DIMENSIONAL RANDOM MATRICES, A REVIEW Zhidong Bai · Advances in Statistics | Feb 2008 | 676 |
| 29 | Algebraic algorithms for sampling from conditional distributions Persi W. Diaconis, Bernd Sturmfels · The Annals of Statistics | Feb 1998 | 665 |
| 30 | Spearman's Footrule as a Measure of Disarray Persi W. Diaconis, Ron L. Graham · Journal of the Royal Statistical Society Series B (Statistical Methodology) | 1977 | 651 |
| 31 | Log‐Concave and Unimodal Sequences in Algebra, Combinatorics, and Geometry a Richard P. Stanley · Annals of the New York Academy of Sciences | Dec 1989 | 650 |
| 32 | Intersection homology II Mark Goresky, Robert A. Macpherson · Inventiones mathematicae | Feb 1983 | 638 |
| 33 | Percolation Theory for Mathematicians. J. M. Hammersley, Harry Kesten · Journal of the Royal Statistical Society Series A (General) | 1984 | 638 |
| 34 | Some combinatorial properties of Jack symmetric functions Richard P. Stanley · Advances in Mathematics | Sep 1989 | 609 |
| 35 | Cluster algebras IV: Coefficients Sergey Fomin, Andrei V. Zelevinsky · Compositio Mathematica | 2007 | 605 |
| 36 | An Introduction to the Analysis of Algorithms Robert Sedgewick, Philippe Flajolet | 1995 | 604 |
| 37 | Sparse nonnegative solution of underdetermined linear equations by linear programming David L. Donoho, Jared Tanner · Proceedings of the National Academy of Sciences | 23 Jun 2005 | 597 |
| 38 | Longest Increasing and Decreasing Subsequences C. Schensted · Canadian Journal of Mathematics | 1961 | 595 |
| 39 | The maximum numbers of faces of a convex polytope Peter McMullen · Mathematika | Dec 1970 | 589 |
| 40 | Exchangeable and partially exchangeable random partitions Jim Pitman · Probability Theory and Related Fields | Jun 1995 | 587 |
| 41 | Cluster algebras III: Upper bounds and double Bruhat cells Arkady Berenstein, Sergey Fomin, Andrei V. Zelevinsky · Duke Mathematical Journal | 15 Jan 2005 | 583 |
| 42 | polymake: a Framework for Analyzing Convex Polytopes Ewgenij Gawrilow, Michael Joswig · Birkhäuser Basel eBooks | 2000 | 569 |
| 43 | Permutohedra, Associahedra, and Beyond Alexander Postnikov · International Mathematics Research Notices | 2009 | 565 |
| 44 | Holomorphic disks and three-manifolds invariants: Properties and applications Peter Ozsváth, Zoltán Szabó · Annals of Mathematics | May 2004 | 564 |
| 45 | Efficient Monte Carlo Procedures for Generating Points Uniformly Distributed over Bounded Regions Robert L. Smith · Operations Research | Dec 1984 | 563 |
| 46 | Strong Convergence of the Empirical Distribution of Eigenvalues of Large Dimensional Random Matrices Jack W. Silverstein · Journal of Multivariate Analysis | Nov 1995 | 561 |
| 47 | Cluster algebras II: Finite type classification Sergey Fomin, Andrei Zelevinsky · Inventiones mathematicae | 16 May 2003 | 555 |
| 48 | Absolutely graded Floer homologies and intersection forms for four-manifolds with boundary Peter Ozsváth, Zoltán Szabó · Advances in Mathematics | Feb 2003 | 555 |
| 49 | Y -systems and generalized associahedra Sergey Fomin, Andre Zelevinsky · Annals of Mathematics | Nov 2003 | 550 |
| 50 | A holonomic systems approach to special functions identities Doron Zeilberger · Journal of Computational and Applied Mathematics | Dec 1990 | 548 |
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.