Results 11 to 20 of about 56,755 (205)
Coding Theory and Algebraic Combinatorics [PDF]
, 2008 This chapter introduces and elaborates on the fruitful interplay of coding theory and algebraic combinatorics, with most of the focus on the interaction of codes with combinatorial designs, finite geometries, simple groups, sphere packings, kissing ...
Huber, Michael
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Feynman Diagrams in Algebraic Combinatorics
, 2002 We show, in great detail, how the perturbative tools of quantum field theory allow one to rigorously obtain: a ``categorified'' Faa di Bruno type formula for multiple composition, an explicit formula for reversion and a proof of Lagrange-Good inversion ...
Abdesselam, Abdelmalek
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On the Combinatorics of Gentle Algebras [PDF]
Canadian Journal of Mathematics, 2019 AbstractFor $A$ a gentle algebra, and $X$ and $Y$ string modules, we construct a combinatorial basis for $\operatorname{Hom}(X,\unicode[STIX]{x1D70F}Y)$. We use this to describe support $\unicode[STIX]{x1D70F}$-tilting modules for $A$. We give a combinatorial realization of maps in both directions realizing the bijection between support $\unicode[STIX]{
Brüstle, Thomas +4 more
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Preface: Geometric and algebraic combinatorics [PDF]
Designs, Codes and Cryptography, 2012 The present issue of Designs, Codes and Cryptography is devoted to the theme “Geometric and Algebraic Combinatorics”. A central concept in this research area is the Association Scheme. On one hand it can be a tool for a better understanding of combinatorial objects, such as error correcting codes, block designs, point-line incidence geometries, and ...
Edwin R. van Dam, Willem H. Haemers
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Arc Spaces and Rogers-Ramanujan Identities [PDF]
Discrete Mathematics & Theoretical Computer Science, 2011 Arc spaces have been introduced in algebraic geometry as a tool to study singularities but they show strong connections with combinatorics as well. Exploiting these relations we obtain a new approach to the classical Rogers-Ramanujan Identities.
Clemens Bruschek +2 more
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Chromatic roots as algebraic integers [PDF]
Discrete Mathematics & Theoretical Computer Science, 2012 A chromatic root is a zero of the chromatic polynomial of a graph. At a Newton Institute workshop on Combinatorics and Statistical Mechanics in 2008, two conjectures were proposed on the subject of which algebraic integers can be chromatic roots, known ...
Adam Bohn
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The algebraic combinatorics of snakes
Journal of Combinatorial Theory, Series A, 2012 29 pages ...
Josuat-Vergès, Matthieu +2 more
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Algebraic proof of recursive relation for Boros-Moll polynomial sequence [PDF]
Journal of Hebei University of Science and Technology, 2023 In order to expand the basic theory of the recurrence relationship of Boros-Moll polynomial sequence, a new proof method for the recurrence relationship of Boros-Moll polynomial sequence was studied.
Yujie DOU +3 more
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Combinatorics of the Free Baxter Algebra [PDF]
The Electronic Journal of Combinatorics, 2006 We study the free (associative, non-commutative) Baxter algebra on one generator. The first explicit description of this object is due to Ebrahimi-Fard and Guo. We provide an alternative description in terms of a certain class of trees, which form a linear basis for this algebra.
Marcelo Aguiar, Walter Moreira
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UNLIKELY INTERSECTIONS IN FINITE CHARACTERISTIC
Forum of Mathematics, Sigma, 2018 We present a heuristic argument based on Honda–Tate theory against many conjectures in ‘unlikely intersections’ over the algebraic closure of a finite field; notably, we conjecture that every abelian variety of dimension 4 is isogenous to a Jacobian ...
ANANTH N. SHANKAR, JACOB TSIMERMAN
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