A class of labeled posets and the Shi arrangement of hyperplanes

DOI10.1006/jcta.1997.2793zbMath0884.06001OpenAlexW2111214268MaRDI QIDQ1369737

Christos A. Athanasiadis

Publication date: 1 April 1998

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/076fbb75e2e6d631353e85d18ccca29349f2d21c

zbMATH Keywords

Shi arrangementlabeled posetsregions produced by hyperplanes

Mathematics Subject Classification ID

Combinatorics of partially ordered sets (06A07) Graph theory (05C99)

Related Items

On the two variable distance enumerator of the Shi hyperplane arrangement ⋮ Sign types associated to posets ⋮ A simple bijection for the regions of the Shi arrangement of hyperplanes

Cites Work

• Depth-first search as a combinatorial correspondence
• The Kazhdan-Lusztig cells in certain affine Weyl groups
• Une famille de polynômes ayant plusieurs propriétés enumeratives
• A simple bijection for the regions of the Shi arrangement of hyperplanes
• Conjectures on the quotient ring by diagonal invariants
• A Partial Order on the Regions of R n Dissected by Hyperplanes
• Hyperplane arrangements, interval orders, and trees.
• The inversion enumerator for labeled trees