On enumeration of conjugacy classes of Coxeter elements

DOI10.1090/S0002-9939-08-09543-9zbMath1157.05008arXiv0711.1140MaRDI QIDQ3542033

Matthew Macauley, Henning S. Mortveit

Publication date: 27 November 2008

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0711.1140

zbMATH Keywords

graphCoxeter groupsCoxeter elementcycle-edgesource-to-sink conversion

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Combinatorics of partially ordered sets (06A07) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Enumerative combinatorics (05A99)

Related Items (8)

An atlas of limit set dynamics for asynchronous elementary cellular automata ⋮ Attractor stability in finite asynchronous biological system models ⋮ On the cyclically fully commutative elements of Coxeter groups. ⋮ Modeling and analyzing social network dynamics using stochastic discrete graphical dynamical systems ⋮ Coxeter Groups and Asynchronous Cellular Automata ⋮ Toric partial orders ⋮ Cycle Equivalence of Finite Dynamical Systems Containing Symmetries ⋮ Chromatic polynomials of graphs from Kac-Moody algebras

Cites Work

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• Orientations, lattice polytopes, and group arrangements I: Chromatic and tension polynomials of graphs
• The enumeration of Coxeter elements
• Chip-firing games on graphs
• Enumerating degree sequences in digraphs and a cycle--cocycle reversing system
• Acyclic orientations of random graphs
• Syzygies of oriented matroids
• Cycle equivalence of graph dynamical systems
• Generalized associahedra via quiver representations
• Conjugacy relation on Coxeter elements

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