A generalised Euler-Poincaré formula for associahedra

DOI10.1112/BLMS.12221zbMATH Open1416.51018arXiv1711.04986OpenAlexW3125031282WikidataQ61820892 ScholiaQ61820892MaRDI QIDQ4628767

Karin Baur, Paul Martin

Publication date: 22 March 2019

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Abstract: We derive a formula for the number of flip-equivalence classes of tilings of an $n$-gon by collections of tiles of shape dictated by an integer partition $lambda$. The proof uses the Euler-Poincar'e formula; and the formula itself generalises the Euler-Poincar'e formula for associahedra.

Full work available at URL: https://arxiv.org/abs/1711.04986

zbMATH Keywords

associahedraEuler-Poincaré formula

Mathematics Subject Classification ID

Polyhedra and polytopes; regular figures, division of spaces (51M20) Combinatorial aspects of tessellation and tiling problems (05B45)

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