On combinatorial algorithms computing mesh root systems and matrix morsifications for the Dynkin diagram \(\mathbb A_n\)

DOI10.1016/j.disc.2013.02.003zbMath1279.05033OpenAlexW2083987881MaRDI QIDQ389491

Daniel Simson, Mariusz Felisiak

Publication date: 20 January 2014

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2013.02.003

zbMATH Keywords

MapleCoxeter numbercombinatorial algorithmDynkin diagramCoxeter polynomialmatrix morsificationmesh geometry

Mathematics Subject Classification ID

Reflection and Coxeter groups (group-theoretic aspects) (20F55) Representations of quivers and partially ordered sets (16G20) Signed and weighted graphs (05C22)

Related Items (6)

Coxeter Invariants for Non-negative Unit Forms of Dynkin Type 𝔸r ⋮ On combinatorial algorithms computing mesh root systems and matrix morsifications for the Dynkin diagram \(\mathbb A_n\) ⋮ On mesh geometries of root Coxeter orbits and mesh algorithms for corank two edge-bipartite signed graphs ⋮ Applications of matrix morsifications to Coxeter spectral study of loop-free edge-bipartite graphs ⋮ Inflation algorithm for loop-free non-negative edge-bipartite graphs of corank at least two ⋮ Numeric and mesh algorithms for the Coxeter spectral study of positive edge-bipartite graphs and their isotropy groups

Uses Software

• Maple
• Python

Cites Work

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