SU\G(𝔸)/K·U
Mathematics › Discrete Mathematics and Combinatorics

Advanced Combinatorial Mathematics

Works Count: 33712

Description

This cluster of papers covers a wide range of topics in combinatorial mathematics, including permutations, polytopes, algebraic combinatorics, enumerative combinatorics, Hopf algebras, Schubert calculus, toric varieties, Catalan numbers, and Ehrhart polynomials.

Keywords

Combinatorics; Permutations; Polytopes; Algebraic Combinatorics; Enumerative Combinatorics; Hopf Algebras; Schubert Calculus; Toric Varieties; Catalan Numbers; Ehrhart Polynomials

Most Cited Works

Action Title Date Authors
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Combinatorics of Coxeter Groups 2005-01-01 Anders Björner Francesco Brenti
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An enumeration of knots and links, and some of their algebraic properties 1970-01-01 James Conway
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4-Manifolds and Kirby Calculus 1999-08-31 Robert E. Gompf András I. Stipsicz
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Enumerative Combinatorics: Volume 1 2011-12-12 Richard P. Stanley
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Representations of Algebraic Groups 2007-08-01 Jens Carsten Jantzen
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Percolation Theory for Mathematicians. 1984-01-01 J. M. Hammersley Harry Kesten
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Group representations in probability and statistics 1988-01-01 Persi Diaconis
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Probabilistic algorithms for sparse polynomials 1979-01-01 Richard Zippel
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On the distribution of the length of the longest increasing subsequence of random permutations 1999-06-24 Jinho Baik Percy Deift Kurt Johansson
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Algebraic algorithms for sampling from conditional distributions 1998-02-01 Persi Diaconis Bernd Sturmfels
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Eigenvalues and Condition Numbers of Random Matrices 1988-10-01 Alan Edelman
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Moduli spaces of local systems and higher Teichmüller theory 2006-06-01 V. V. Fock A. B. Goncharov
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Tilings and Patterns. 1988-01-01 Solomon W. Golomb Branko Grünbaum G. C. Shephard
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Statistical Ensembles of Complex, Quaternion, and Real Matrices 1965-03-01 J. Ginibre
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Representations of Coxeter groups and Hecke algebras 1979-06-01 David Kazhdan G. Lusztig
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Factorizing particles on a half-line and root systems 1984-10-01 Ivan Cherednik
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Ring-Theoretic Properties of Certain Hecke Algebras 1995-05-01 Richard Taylor Andrew Wiles
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THE GEOMETRY OF TORIC VARIETIES 1978-04-30 V. I. Danilov
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Singularity Analysis of Generating Functions 1990-05-01 Philippe Flajolet Andrew Odlyzko
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State sum invariants of 3-manifolds and quantum 6j-symbols 1992-10-01 Vladimir G. Turaev Oleg Viro
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Convex polytopes, Coxeter orbifolds and torus actions 1991-03-01 Michael W. Davis Tadeusz Januszkiewicz
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Affine Hecke algebras and their graded version 1989-01-01 G. Lusztig
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Facing up to arrangements: face-count formulas for partitions of space by hyperplanes 1975-01-01 Thomas Zasĺavsky
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On the Empirical Distribution of Eigenvalues of a Class of Large Dimensional Random Matrices 1995-08-01 Jack W. Silverstein Zhidong Bai
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Groups of Homotopy Spheres: I 1963-05-01 Michel Kervaire John Milnor
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Combinatorial homotopy. I 1949-01-01 J. H. C. Whitehead
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Algorithm 448: number of multiply-restricted partitions 1973-06-01 Terry Beyer D. F. Swinehart
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Holomorphic disks and topological invariants for closed three-manifolds 2004-05-01 Peter Ozsváth Zoltán Szabó
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Asymptotic Formulaae in Combinatory Analysis 1918-01-01 G. H. Hardy S. Ramanujan
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Phase transition of the largest eigenvalue for nonnull complex sample covariance matrices 2005-09-01 Jinho Baik Gérard Ben Arous Sandrine Péché
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Log‐Concave and Unimodal Sequences in Algebra, Combinatorics, and Geometry<sup>a</sup> 1989-12-01 Richard P. Stanley
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Three Partition Refinement Algorithms 1987-12-01 Robert Paige Robert E. Tarjan
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Intersection homology II 1983-02-01 Mark Goresky Robert Macpherson
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Min-Wise Independent Permutations 2000-06-01 Andrei Broder Moses Charikar Alan Frieze Michael Mitzenmacher
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The eigenvalues of random symmetric matrices 1981-09-01 Zoltán Füredi János Komlós
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Ribbon graphs and their invaraints derived from quantum groups 1990-01-01 Nicolai Reshetikhin Vladimir G. Turaev
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Binomial determinants, paths, and hook length formulae 1985-12-01 Ira M. Gessel Gérard Viennot
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Random Matrix Theory and ζ(1/2+ it) 2000-10-01 Jonathan P. Keating N. C. Snaith
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Software processes are software too 1987-03-01 Leon J. Osterweil
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Vertex algebras, Kac-Moody algebras, and the Monster 1986-05-01 Richard E. Borcherds
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METHODOLOGIES IN SPECTRAL ANALYSIS OF LARGE DIMENSIONAL RANDOM MATRICES, A REVIEW 2008-02-01 Zhidong Bai
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State models and the jones polynomial 1987-01-01 Louis H. Kauffman
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A categorification of the Jones polynomial 2000-02-15 Mikhail Khovanov
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Eight-vertex SOS model and generalized Rogers-Ramanujan-type identities 1984-05-01 George E. Andrews R. J. Baxter Peter J. Forrester
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Combinatorial Enumeration 2024-02-08 Robin Pemantle Mark C. Wilson Stephen Melczer
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HARMONIC POLYLOGARITHMS 2000-02-20 E. Remiddi J. A. M. Vermaseren
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Random generation of combinatorial structures from a uniform distribution 1986-01-01 Mark Jerrum Leslie G. Valiant Vijay V. Vazirani
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Graphical Enumeration 1973-01-01
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Applications Of Percolation Theory 1994-01-27 M Sahini Muhammad Sahimi
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An Introduction to Random Matrices 2009-11-19 Greg W. Anderson Alice Guionnet Ofer Zeitouni

Most Recent Works

Action Title Date Authors
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On the roots of maximal matching polynomials 2025-04-24 Matt Burnham Aysel Erey
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FORMULAS FOR COEFFICIENTS OF POLYNOMIALS ASSIGNED TO ARITHMETIC FUNCTIONS 2025-04-24 Bernhard Heim Markus Neuhauser
+ PDF Ask
Obstructions for the existence of separating morphisms and totally real pencils 2025-04-24 Matilde Manzaroli
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Unimodal sequences and mixed false theta functions 2025-04-25 Kevin Allen Robert Osburn
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Contact non-squeezing at large scale via generating functions 2025-04-25 Maia Fraser Sheila Sandon Bingyu Zhang
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On Tribonacci numbers written as a product of two Perrin numbers 2025-04-25 Zeynep Demirkol Ozkaya İlker İnam Meltem Senadim
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More <i>q</i> -analogs of congruences involving Catalan numbers 2025-04-25 Roberto Tauraso
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Strange and pseudo-differentiable functions with applications to prime partitions 2025-04-26 A. Dong Nicolas Robles Alexandru Zaharescu Dirk Zeindler
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A New Polynomial for Checkerboard-Colorable 4-Valent Virtual Graphs 2025-04-27 Hamid Abchir Khaled Qazaqzeh Mohammed Sabak
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Chromatic Polynomials of Signed Graphs and Dominating‐Vertex Deletion Formulae 2025-04-28 Gary R. W. Greaves Jeven Syatriadi Charissa I. Utomo
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Analytic Aspects of the Generalized Second-Order Central Trinomial Coefficients 2025-04-27 Yu-Yang Zhang Hao Pan Lei Chen
+ PDF Ask
Spectral Properties of Elementwise-Transformed Spiked Matrices 2025-04-28 Michael J. Feldman
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Refined canonical stable Grothendieck polynomials and their duals, Part 2 2025-04-29 Byung-Hak Hwang Jihyeug Jang Jang Soo Kim Minho Song U-Keun Song
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On Sylvester’s denumerants 2025-04-29 Eteri Samsonadze
+ PDF Ask
Constructing strictly sign regular matrices of all sizes and sign patterns 2025-04-29 Projesh Nath Choudhury Shivangi Yadav
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Crystals and double quiver algebras from Jeffrey-Kirwan residues 2025-04-29 Jiakang Bao Masahito Yamazaki
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A general formula for Hecke-type false theta functions 2025-04-29 Eric T. Mortenson
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String Diagrams for Premonoidal Categories 2025-04-29 Mario Román Paweł Sobociński
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Strong cohomological rigidity of Bott manifolds 2025-04-29 Suyoung Choi Taekgyu Hwang Hyeontae Jang
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Convex Independent Neighborhood Polynomial of Some Special Graphs 2025-05-01 Edison John Aguilon Rosalio G. Artes Susan C. Dagondon
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On Gould-Hopper-based Bivariate Fubini polynomials 2025-05-01 Raimah Bago Normalah Sharief Abdulcarim
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Probabilistic Poly Degenerate r-Stirling Numbers of the Second Kind and r-Bell Polynomials 2025-05-01 S. H. Lee
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Comparing Two Distribution Models of Paul’s Literary Techniques: Poisson Versus Negative Binomial 2025-04-28 Thomas McCauley Paul Robertson
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A Study on Altered Jacobsthal Lucas Numbers Squared: Structural Properties and Applications 2025-04-30 Fikri Köken
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On the ordinary and symbolic powers of fiber products 2025-05-01 Hoang Viet Hop D. Nguyen S. A. Seyed Fakhari
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On Generalized co-Narayana Numbers 2025-05-02 Yüksel Soykan
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Scattering diagrams, tight gradings, and generalized positivity 2025-05-02 Amanda Burcroff K.B. Lee Lang Mou
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Combinatorial invariance for Kazhdan–Lusztig R-polynomials of elementary intervals 2025-05-03 Grant T. Barkley Christian Gaetz
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Interlacing Triangles, Schubert Puzzles, and Graph Colorings 2025-05-01 Christian Gaetz Yibo Gao
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Three-Dimensional Riordan Arrays and Bivariate Laguerre Polynomials 2025-05-04 Nikolai A. Krylov
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Coloured shuffle compatibility, Hadamard products, and ask zeta functions 2025-05-05 Angela Carnevale Vassilis Dionyssis Moustakas Tobias Rossmann
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Invariant theory of the queer color group 2025-05-01 Tinu Dhali Santosha Kumar Pattanayak Preena Samuel
+ PDF Ask
Exact mean and variance of the squared Hellinger distance for random density matrices 2025-05-05 Vinay Kumar Kaushik Vasan Santosh Kumar
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Planar Equivalence of Knotoids and Quandle Invariants 2025-05-01 Mohamed Elhamdadi Wout Moltmaker Masahico Saito
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Rational deformations of the set of multiple zeta-star values 2025-05-01 Jiangtao Li
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Hook length biases for self-conjugate partitions and partitions with distinct odd parts 2025-05-01 Catherine Cossaboom
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New congruences modulo powers of 2 for certain t-regular partitions 2025-05-06 Wu Jie Doris D. M. Sang Olivia X. M. Yao
+ PDF Ask
Pentagonal number recurrence relations for p(n) 2025-05-06 Kevin Gomez Ken Ono Hasan Saad Ajit Singh
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Ideals, representations and a symmetrised Bernoulli triangle 2025-05-06 Nsibiet E. Udo Praise Adeyemo Balázs Szendröi Stavros Argyrios Papadakis
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Closed Formula for the Number of Parts Great Spheres Divide an N-Sphere 2025-05-06 W.Q. Li
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Counting Boolean intervals in the weak Bruhat order of a finite Coxeter group 2025-05-06
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Decomposition of Jacobians and Shimura subvarieties of $$A_g$$ 2025-05-07 Abolfazl Mohajer
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Double star arrangement and the pointed multinet 2025-05-07 Yongqiang Liu Wenjin Xie
+ PDF Ask
Local Statistics in Normal Matrix Models with Merging Singularity 2025-05-07 Torben Krüger Seung‐Yeop Lee Yang Meng
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A REMARK ON GENERALISED CUBIC PARTITIONS MODULO $5$ 2025-05-07 Russelle Guadalupe
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Gyration Stability for Projective Planes 2025-05-01 Sebastian Chenery Stephen Theriault
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Alternating sign pentagons and Magog pentagons 2025-05-09 Moritz Gangl
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Time and Band Limiting: From the Early Days to the Present 2025-05-09 F. Alberto Grünbaum
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Wigglyhedra 2025-05-09 Asilata Bapat Vincent Pilaud
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Subspaces, subsets, and Motzkin paths 2025-05-10 Jonathan David Farley Murali K. Srinivasan