Bounds related to Coxeter spectral measures of graphs

DOI10.1016/j.laa.2018.01.030zbMath1384.05111OpenAlexW2791901198MaRDI QIDQ1743071

José Antonio de la Peña, Jesús Arturo Jiménez González

Publication date: 12 April 2018

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2018.01.030

zbMATH Keywords

spectral radiusMahler measuretreessingular valuesmatrix normsgraph energyCoxeter matrixDynkin graphsCoxeter eigenvaluesNikiforov energy

Mathematics Subject Classification ID

Trees (05C05) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18) Representations of quivers and partially ordered sets (16G20) Directed graphs (digraphs), tournaments (05C20)

Related Items (2)

Momenta of Coxeter transformations ⋮ Congruence of rational matrices defined by an integer matrix

Cites Work

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• On the Mahler measure of the Coxeter polynomial of an algebra.
• Coxeter energy of graphs
• Algebras whose Coxeter polynomials are products of cyclotomic polynomials.
• The energy of graphs and matrices
• The McClelland inequality for the energy of digraphs
• The Coxeter polynomial for a one point extension algebra.
• Lectures on transcendental numbers. Edited and completed by B. Diviš and W. J. LeVeque
• Spectral properties of Coxeter transformations and applications
• The trace of the Coxeter matrix and Hochschild cohomology
• Factorization of certain cyclotomic functions
• On spectral radii of Coxeter transformations.
• On the coefficients of the Coxeter polynomial of an accessible algebra.
• A refinement of two theorems of Kronecker
• A Coxeter--Gram Classification of Positive Simply Laced Edge-Bipartite Graphs
• On wild hereditary algebras with small grwoth numbers
• Energy of digraphs
• Spectral analysis of finite dimensional algebras and singularities
• Inflation Agorithm for Cox-regular Postive Edge-bipartite Graphs with Loops
• Congruences of Edge-bipartite Graphs with Applications to Grothendieck Group Recognition II. Coxeter Type Study*
• Matrix theory. Basic results and techniques

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