Face counting formula for toric arrangements defined by root systems

DOI10.1016/j.akcej.2018.07.002zbMath1423.05013OpenAlexW2883489171MaRDI QIDQ2329919

Kavita Sutar, Priyavrat Deshpande

Publication date: 18 October 2019

Published in: AKCE International Journal of Graphs and Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.akcej.2018.07.002

zbMATH Keywords

affine Weyl groups\(f\)-vectortoric arrangementsface enumerations

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35)

Related Items (1)

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Cites Work

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• On a generalization of Zaslavsky's theorem for hyperplane arrangements
• \(f\)-vectors of barycentric subdivisions
• Affine and toric hyperplane arrangements
• A combinatorial analysis of topological dissections
• Enumeration in torus arrangements
• On the number of regions formed by arrangements of closed geodesics on flat surfaces
• Facing up to arrangements: face-count formulas for partitions of space by hyperplanes
• A Combinatorial Analogue of Poincaré's Duality Theorem
• Combinatorial algebraic topology

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