Shellability of complexes of trees

DOI10.1006/jcta.1997.2844zbMath0916.06004OpenAlexW2034557813MaRDI QIDQ1268623

Henryk Trappmann, Günter M. Ziegler

Publication date: 6 July 1999

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

Full work available at URL: https://semanticscholar.org/paper/f07131cacea5d2f1ddeaf02a060910c6b0dd8bf0

zbMATH Keywords

free Lie algebrasimplicial complexshellabilityCohen-Macaulay complextree complex

Mathematics Subject Classification ID

Trees (05C05) Identities, free Lie (super)algebras (17B01) Algebraic aspects of posets (06A11)

Related Items

Nested set complexes of Dowling lattices and complexes of Dowling trees, Peeling phylogenetic `oranges', The space of tropically collinear points is shellable, Encoding and ordering \(X\)-cactuses, The Bergman complex of a matroid and phylogenetic trees, The pre-WDVV ring of physics and its topology

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Matroid shellability, \(\beta\)-systems, and affine hyperplane arrangements
• On Lie \(k\)-algebras
• Otter's method and the homology of homeomorphically irreducible \(k\)-trees
• The tree representation of \(\Sigma_{n+1}\)
• On Lexicographically Shellable Posets