2015/01/09 by Matthew Macauley, Macauley, Matthew
Mathematics · #06A06 #52C35 #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #Combinatorics (math.CO) #Commutative Algebra and Its Applications #FOS: Mathematics #math.CO #msc:06A06 #msc:52C35
paper · pdf · doi:10.48550/arxiv.1501.02239
28 pages, 8 figures. A 12-page "extended abstract" version appears as [v2]
openalex publication_date 2015/01/09 · arxiv created 2015/05/15 · arxiv updated 2015/05/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
Toric posets are cyclic analogues of finite posets. They can be viewed combinatorially as equivalence classes of acyclic orientations generated by converting sources into sinks, or geometrically as chambers of toric graphic hyperplane arrangements. In this paper we study toric intervals, morphisms, and order ideals, and we provide a connection to cyclic reducibility and conjugacy in Coxeter groups.