Results 111 to 120 of about 56,264 (249)
Topology of matching complexes of complete graphs via discrete Morse theory [PDF]
Discrete Mathematics & Theoretical Computer ScienceBouc (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 +2 more
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HIGHER ALGEBRA IN COMBINATORICS
, 2023 This article has easy and a very nice application on how to solve elementary combinatorics problems using linear ...
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Operads in algebraic combinatorics
, 2017 The main ideas developed in this habilitation thesis consist in endowing combinatorial objects (words, permutations, trees, Young tableaux, etc.) with operations in order to construct algebraic structures. This process allows, by studying algebraically the structures thus obtained (changes of bases, generating sets, presentations, morphisms ...
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Combinatorics of q-Characters of Finite-Dimensional Representations of Quantum Affine Algebras [PDF]
, 2001 Edward Frenkel, E. Mukhin
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Blow-up algebras in Algebra, Geometry and Combinatorics
, 2019 Programa de Doctorat en Matemàtica i ...
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Splines on Cayley graphs of the symmetric group
Forum of Mathematics, SigmaA 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
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On the Lehmer conjecture and counting in finite fields
Discrete Analysis, 2019 On the Lehmer conjecture and counting in finite fields, Discrete Analysis 2019:5, 8pp. Let $\alpha$ be an algebraic number and let $a_0\prod_{i=1}^k(x-\alpha_i)$ be its minimal polynomial. The _Mahler measure_ of $\alpha$ is defined to be the quantity $|
Emmanuel Breuillard, Peter Pal Varju
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Topology of quasi divisor graphs associated with non-associative algebra
Ain Shams Engineering JournalThe visualization of graphs representing algebraic structures has increasingly gained traction in chemical engineering research, emerging as a significant scientific challenge in contemporary studies.
Muhammad Nadeem +4 more
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Néel probability and spin correlations in some nonmagnetic and nondegenerate states of the hexanuclear antiferromagnetic ring
, 2002 Wojciech Florek, Sylwia Bucikiewicz
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Some applications of algebra to combinatorics
Discrete Applied Mathematics, 1991 The author gives a very interesting survey of the application of algebraic methods in combinatorics, in the setting of (graded) partially ordered sets and lattices. Major themes are provided by the Sperner property, rank symmetry and rank unimodality. The algebraic methods employed range from linear algebra via group actions to Lie algebras.
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