A Coxeter type classification of one-peak principal posets

DOI10.1016/j.laa.2019.08.001zbMath1426.05094OpenAlexW2966543052MaRDI QIDQ2332382

Marcin Gąsiorek

Publication date: 4 November 2019

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

Full work available at URL: https://doi.org/10.1016/j.laa.2019.08.001

zbMATH Keywords

Coxeter spectrumedge-bipartite graphCoxeter-Dynkin typenon-negative posetprincipal posetunit quadratic form

Mathematics Subject Classification ID

Combinatorics of partially ordered sets (06A07) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Quadratic and bilinear forms, inner products (15A63) Algebraic aspects of posets (06A11)

Related Items (3)

On algorithmic Coxeter spectral analysis of positive posets ⋮ On polynomial time inflation algorithm for loop-free non-negative edge-bipartite graphs ⋮ Congruence of rational matrices defined by an integer matrix

Uses Software

• Maple
• Python

Cites Work

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• Structure and a Coxeter-Dynkin type classification of corank two non-negative 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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• Graph Theory
• A Coxeter--Gram Classification of Positive Simply Laced Edge-Bipartite Graphs
• Numeric Algorithms for Corank Two Edge-bipartite Graphs and their Mesh Geometries of Roots
• Congruences of Edge-bipartite Graphs with Applications to Grothendieck Group Recognition I. Inflation Algorithm Revisited*
• Congruences of Edge-bipartite Graphs with Applications to Grothendieck Group Recognition II. Coxeter Type Study*
• Representation of partially ordered sets

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