Results 101 to 110 of about 56,755 (205)
Cubic surfaces and their invariants: Some memories of Raymond Stora
Nuclear Physics B, 2016 Cubic surfaces embedded in complex projective 3-space are a classical illustration of the use of old and new methods in algebraic geometry. Recently, they made their appearance in physics, and in particular aroused the interest of Raymond Stora, to the ...
Michel Bauer
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Ore's theorem on subfactor planar algebras
, 2019 This article proves that an irreducible subfactor planar algebra with a distributive biprojection lattice admits a minimal 2-box projection generating the identity biprojection.
Palcoux, Sebastien
core
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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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
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Some representations for inverse rising factorial moments
Mathematical and Computer Modelling of Dynamical SystemsInverse rising factorial moments [Formula: see text] are fundamental quantities for positive integer-valued random variables, with broad applications in probability and combinatorics.
Xiaoxue Li +3 more
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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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Combinatorics of rooted trees and Hopf algebras [PDF]
Transactions of the American Mathematical Society, 2003 We begin by considering the graded vector space with a basis consisting of rooted trees, with grading given by the count of non-root vertices. We define two linear operators on this vector space, the growth and pruning operators, which respectively raise and lower grading; their commutator is the operator that multiplies a rooted tree by its number of ...
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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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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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Geometric and algebraic combinatorics
European Journal of Combinatorics, 2007 Edwin R. van Dam, Willem H. Haemers
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