The Poset of Proper Divisibility

DOI10.1137/15M1049142zbMath1385.06002arXiv1511.04558MaRDI QIDQ5357964

Volkmar Welker, Davide Bolognini, Emanuele Ventura, Antonio Macchia

Publication date: 18 September 2017

Published in: SIAM Journal on Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.04558

zbMATH Keywords

Euler characteristicposetsorder complexsimplicial homologyCL-shellabilityproper division

Mathematics Subject Classification ID

Combinatorics of partially ordered sets (06A07) Algebraic aspects of posets (06A11) Combinatorial aspects of simplicial complexes (05E45)

Cites Work

• The Buchberger resolution
• A poset which is shellable but not lexicographically shellable
• On Lexicographically Shellable Posets
• Shellable nonpure complexes and posets. II
• Combinatorial Commutative Algebra
• Shellable Nonpure Complexes and Posets. I
• [https://portal.mardi4nfdi.de/wiki/Publication:5731810 On the foundations of combinatorial theory I. Theory of M�bius Functions]
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