Results 41 to 50 of about 11,631 (230)

Some applications of Rees products of posets to equivariant gamma-positivity [PDF]

, 2019
The Rees product of partially ordered sets was introduced by Bj\"orner and Welker. Using the theory of lexicographic shellability, Linusson, Shareshian and Wachs proved formulas, of significance in the theory of gamma-positivity, for the dimension of the
Athanasiadis, Christos A.
core   +3 more sources

New directions in enumerative chess problems [PDF]

, 2005
Normally a chess problem must have a unique solution, and is deemed unsound even if there are alternatives that differ only in the order in which the same moves are played.
Elkies, Noam D.
core   +1 more source

Enumeration of simple random walks and tridiagonal matrices

, 2002
We present some old and new results in the enumeration of random walks in one dimension, mostly developed in works of enumerative combinatorics. The relation between the trace of the $n$-th power of a tridiagonal matrix and the enumeration of weighted ...
Bauer M, Flajolet P, G M Cicuta, Gessel I, Goldsheid I Y, Goulden I P, Jani M, Jonsson T, Klarner D A, Krattenthaler C, L Molinari, Lee D S, M Contedini, Mansour T, Merlini D, Mohanty G, Noh J D, Raykin M, Sachov V, Sinai Ya G, Sinai Ya G, Stanley R P, Stanley R P, Wigner E   +23 more
core   +1 more source

Abundant Neighborhoods, Two‐Sided Markets, and Maximal Matchings

Naval Research Logistics (NRL), EarlyView.
ABSTRACT I introduce a new graph‐theoretic property called abundant neighborhoods. This property is motivated by studying the thickness of economic markets. A vertex is, roughly, guaranteed to match if and only if it has an abundant neighborhood.
Muhammad Maaz
wiley   +1 more source

Asymmetric function theory

, 2019
The classical theory of symmetric functions has a central position in algebraic combinatorics, bridging aspects of representation theory, combinatorics, and enumerative geometry.
Allen Hatcher, Anders Skovsted Buch, Andrew Baker, B Yasmine, Bogdan Ion, C Lenart, Daniel Bump, David Anderson, E Dudley, Eric Opdam, Hugh Thomas, J Haglund, J Haglund, Masaki Kashiwara, Masaki Kashiwara, Masaki Kashiwara, Masaki Watanabe, Masaki Watanabe, Michiel Hazewinkel, N Ganter, Nantel Bergeron, Oliver Pechenik, Paul Bressler, Pavel Galashin, PN Norton, Rudolf Winkel, S Assaf, S Assaf, S Mason, Sara C Billey, Sergey Fomin, Thomas Hudson, V Reiner, Vasu V Tewari, W George, William Fulton, Witold Kraśkiewicz   +36 more
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The Role of Dice in the Emergence of the Probability Calculus

International Statistical Review, EarlyView.
Summary The early development of the probability calculus was clearly influenced by the roll of dice. However, while dice have been cast since time immemorial, documented calculations on the frequency of various dice throws date back only to the mid‐13th century.
David R. Bellhouse, Christian Genest
wiley   +1 more source

A survey of subdivisions and local $h$-vectors [PDF]

, 2015
The enumerative theory of simplicial subdivisions (triangulations) of simplicial complexes was developed by Stanley in order to understand the effect of such subdivisions on the $h$-vector of a simplicial complex.
Athanasiadis, Christos A.
core  

Indiscernibles in monadically NIP theories

Bulletin of the London Mathematical Society, EarlyView.
Abstract We prove various results around indiscernibles in monadically NIP theories. First, we provide several characterizations of monadic NIP in terms of indiscernibles, mirroring previous characterizations in terms of the behavior of finite satisfiability. Second, we study (monadic) distality in hereditary classes and complete theories.
Samuel Braunfeld, Michael C. Laskowski
wiley   +1 more source

Extremal, enumerative and probabilistic results on ordered hypergraph matchings

Forum of Mathematics, Sigma
An ordered r-matching is an r-uniform hypergraph matching equipped with an ordering on its vertices. These objects can be viewed as natural generalisations of r-dimensional orders.
Michael Anastos, Zhihan Jin, Matthew Kwan, Benny Sudakov   +3 more
doaj   +1 more source

Transitive factorizations of permutations and geometry [PDF]

, 2014
We give an account of our work on transitive factorizations of permutations. The work has had impact upon other areas of mathematics such as the enumeration of graph embeddings, random matrices, branched covers, and the moduli spaces of curves.
Goulden, I. P., Jackson, D. M.
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