Lattice point counts for the Shi arrangement and other affinographic hyperplane arrangements

DOI10.1016/j.jcta.2006.03.006zbMath1105.52014arXivmath/0609051OpenAlexW2058013805MaRDI QIDQ857417

Thomas Zaslavsky, David L. Forge

Publication date: 14 December 2006

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

Full work available at URL: https://arxiv.org/abs/math/0609051

zbMATH Keywords

Shi arrangementproper coloringchromatic functionaffinographic hyperplane arrangementdeformation of Coxeter arrangementintegral gain graphinterval graph coloringlinial arrangementmodular gain graph

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35) Coloring of graphs and hypergraphs (05C15)

Related Items

Nonattacking queens in a rectangular strip ⋮ Bijections between affine hyperplane arrangements and valued graphs ⋮ Lattice points in orthotopes and a huge polynomial Tutte invariant of weighted gain graphs

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