Applications of matrix morsifications to Coxeter spectral study of loop-free edge-bipartite graphs (Q491595)

scientific article; zbMATH DE number 6473400

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English	Applications of matrix morsifications to Coxeter spectral study of loop-free edge-bipartite graphs	scientific article; zbMATH DE number 6473400

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instance of

scholarly article

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title

Applications of matrix morsifications to Coxeter spectral study of loop-free edge-bipartite graphs (English)

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Discrete Applied Mathematics

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publication date

18 August 2015

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zbMATH Keywords

edge-bipartite graph

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Coxeter spectral analysis

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combinatorial algorithms

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computer algebra

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Coxeter matrix

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describes a project that uses

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full work available at URL

https://doi.org/10.1016/j.dam.2014.05.002

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cites work

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Numeric and mesh algorithms for the Coxeter spectral study of positive edge-bipartite graphs and their isotropy groups

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Coxeter transformation and inverses of Cartan matrices for coalgebras.

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Computer algebra technique for Coxeter spectral study of edge-bipartite graphs and matrix Morsifications of Dynkin type \(\mathbb A_n\).

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A computation of positive one-peak posets that are Tits-sincere

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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 the notion of balance of a signed graph

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Congruences of a square matrix and its transpose

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Introduction to Lie Algebras and Representation Theory

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Mesh algorithms for Coxeter spectral classification of Cox-regular edge-bipartite graphs with loops. II: Application to Coxeter spectral analysis

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Rainbow induced subgraphs in proper vertex colorings

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Schurian sp-representation-finite right peak PI-rings and their indecomposable socle projective modules

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Lie algebras associated with quadratic forms and their applications to Ringel-Hall algebras

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Inflation algorithms for positive and principal edge-bipartite graphs and unit quadratic forms

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LOCALLY DYNKIN QUIVERS AND HEREDITARY COALGEBRAS WHOSE LEFT COMODULES ARE DIRECT SUMS OF FINITE DIMENSIONAL COMODULES

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Coxeter spectral classification of almost \(TP\)-critical one-peak posets using symbolic and numeric computations.

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Comodules of \(U_q(sl_2)\) and modules of \(\text{SL}_q(2)\) via quiver methods

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Socle reductions and socle projective modules

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Integral bilinear forms, Coxeter transformations and Coxeter polynomials of finite posets

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Mesh Algorithms for Solving Principal Diophantine Equations, Sand-glass Tubes and Tori of Roots

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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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A framework for Coxeter spectral analysis of edge-bipartite graphs, their rational morsifications and mesh geometries of root orbits

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Q5561492

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Signed graphs

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Eigenvalues of coxeter transformations and the structure of regular componentsof an auslander-reiten quiver

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Identifiers

zbMATH Open document ID

1319.05142

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Mathematics Subject Classification ID

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10.1016/J.DAM.2014.05.002

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Sitelinks

Mathematics(1 entry)

mardi Publication:491595