Results 111 to 120 of about 3,991 (224)

Inequalities and Asymptotic Formulas in Algebraic Combinatorics [PDF]

, 2022
This thesis concerns certain inequalities and asymptotic formulas in algebraic combinatorics. It consists of two separate parts. The first part studies inequalities concerning triangular-grid billiards and plabic graphs of Lam–Postnikov essential ...
Jiradilok, Pakawut
core  

Valued Graphs and the Representation Theory of Lie Algebras

Axioms, 2012
Quivers (directed graphs), species (a generalization of quivers) and their representations play a key role in many areas of mathematics including combinatorics, geometry, and algebra.
Joel Lemay
doaj   +1 more source

Representation zeta functions of compact p-adic analytic groups and arithmetic groups [PDF]

, 2013
We introduce new methods from p-adic integration into the study of representation zeta functions associated to compact p-adic analytic groups and arithmetic groups.
Onn, Uri, Avni, Nir, Klopsch, Benjamin, Voll, Christopher   +3 more
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Some representations for inverse rising factorial moments

Mathematical and Computer Modelling of Dynamical Systems
Inverse rising factorial moments [Formula: see text] are fundamental quantities for positive integer-valued random variables, with broad applications in probability and combinatorics.
Xiaoxue Li, Yuankui Ma, Taekyun Kim, Dae San Kim   +3 more
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Topology of matching complexes of complete graphs via discrete Morse theory [PDF]

Discrete Mathematics & Theoretical Computer Science
Bouc (1992) first studied the topological properties of $M_n$, the matching complex of the complete graph of order $n$, in connection with Brown complexes and Quillen complexes. Bj\"{o}rner et al. (1994) showed that $M_n$ is homotopically $(\nu_n-1)$
Anupam Mondal, Sajal Mukherjee, Kuldeep Saha   +2 more
doaj   +1 more source

International Journal of Mathematical Combinatorics, Vol.7 [PDF]

, 2013
The International J.Mathematical Combinatorics (ISSN 1937-1055) is a fully refereed international journal, sponsored by the MADIS of Chinese Academy of Sciences and published in USA quarterly comprising 460 pages approx.
Mao, Linfan (Editor-in-Chief)
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Chain algebras of finite distributive lattices [PDF]

We introduce a family of toric algebras defined by maximal chains of a finite distributive lattice. Applying results on stable set polytopes we conclude that every such algebra is normal and Cohen-Macaulay, and give an interpretation of its Krull ...
Gasanova, Oleksandra,, Gasanova, Oleksandra, Nicklasson, Lisa,, Nicklasson, Lisa   +3 more
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Polynomials in algebraic combinatorics [PDF]

, 2018
A long-standing theme in algebraic combinatorics is to study bases of the rings of symmetric functions, quasisymmetric functions, and polynomials. Classically, these bases are homogeneous functions, however, the introduction of K-theoretic combinatorics
Monical, Cara
core  

A centralizer analogue to the Farahat-Higman algebra [PDF]

We define a family of algebras FHm which generalise the Farahat-Higman algebra introduced in [4] by replacing the role of the center of the group algebra of the symmetric groups with centraliser algebras of symmetric groups.
Creedon, Samuel, Creedon, Samuel,
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Splines on Cayley graphs of the symmetric group

Forum of Mathematics, Sigma
A spline is an assignment of polynomials to the vertices of a graph whose edges are labeled by ideals, where the difference of two polynomials labeling adjacent vertices must belong to the corresponding ideal. The set of splines forms a ring. We consider
Nathan R. T. Lesnevich
doaj   +1 more source