Congruence of rational matrices defined by an integer matrix (Q2101923)

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scientific article; zbMATH DE number 7627642

Language	Label	Description	Also known as
English	Congruence of rational matrices defined by an integer matrix	scientific article; zbMATH DE number 7627642

Statements

scholarly article

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Congruence of rational matrices defined by an integer matrix (English)

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Marcin Gąsiorek

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Applied Mathematics and Computation

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publication date

7 December 2022

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zbMATH Keywords

matrix congruence

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graph isomorphism

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graph automorphism

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Coxeter spectral graph theory

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Coxeter matrix

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positive-definite matrices

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MaRDI profile type

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full work available at URL

https://doi.org/10.1016/j.amc.2022.127639

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Quadratic forms. Combinatorics and numerical results

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Bounds related to Coxeter spectral measures of graphs

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A Coxeter type classification of one-peak principal posets

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On algorithmic Coxeter spectral analysis of positive posets

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One-peak posets with positive quadratic Tits form, their mesh translation quivers of roots, and programming in Maple and Python

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On Coxeter type study of non-negative posets using matrix morsifications and isotropy groups of Dynkin and Euclidean diagrams.

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On algorithmic study of non-negative posets of corank at most two and their Coxeter-Dynkin types

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Algorithms for isotropy groups of Cox-regular edge-bipartite graphs

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Quadratic algorithm to compute the Dynkin type of a positive definite quasi-Cartan matrix

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A Gram classification of principal Cox-regular edge-bipartite graphs via inflation algorithm

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Inflation Agorithm for Cox-regular Postive Edge-bipartite Graphs with Loops

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Mesh geometries of root orbits of integral quadratic forms

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Algorithms Determining Matrix Morsifications, Weyl orbits, Coxeter Polynomials and Mesh Geometries of Roots for Dynkin Diagrams

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A Coxeter-Gram classification of positive simply laced edge-bipartite graphs

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Symbolic Algorithms Computing Gram Congruences in the Coxeter Spectral Classification of Edge-bipartite Graphs, I. A Gram Classification

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A Coxeter spectral classification of positive edge-bipartite graphs. I: Dynkin types \(\mathcal{B}_n\), \(\mathcal{C}_n\), \(\mathcal{F}_4\), \(\mathcal{G}_2\), \(\mathbb{E}_6\), \(\mathbb{E}_7\), \(\mathbb{E}_8\)

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A computational technique in Coxeter spectral study of symmetrizable integer Cartan matrices

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A Coxeter spectral classification of positive edge-bipartite graphs. II: Dynkin type \(\mathbb{D}_n\)

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Weyl orbits of matrix morsifications and a Coxeter spectral classification of positive signed graphs and quasi-Cartan matrices of Dynkin type \(\mathbb{A}_n\)

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On mesh geometries of root Coxeter orbits and mesh algorithms for corank two edge-bipartite signed graphs

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On the structure of loop-free non-negative edge-bipartite graphs

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On polynomial time inflation algorithm for loop-free non-negative edge-bipartite graphs

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Identifiers

Mathematics Subject Classification ID

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zbMATH DE Number

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10.1016/J.AMC.2022.127639

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Sitelinks

Mathematics(1 entry)

mardi Publication:2101923

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