𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Shellability of Complexes of Trees

✍ Scribed by Henryk Trappmann; Günter M Ziegler

Book ID
102970635
Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
504 KB
Volume
82
Category
Article
ISSN
0097-3165

No coin nor oath required. For personal study only.

✦ Synopsis

We show that for all k 1 and n 0 the simplicial complexes T (k) n of all leaflabelled trees with nk+2 leaves and all interior vertices of degrees kl+2 (l 1) are shellable. This yields a direct combinatorial proof that they are Cohen Macaulay and that their homotopy types are wedges of spheres.

📜 SIMILAR VOLUMES

On Modular Homology of Simplicial Comple
On Modular Homology of Simplicial Complexes: Shellability
✍ V.B. Mnukhin; I.J. Siemons 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 256 KB

For a simplicial complex 2 and coefficient domain F let F2 be the F-module with basis 2. We investigate the inclusion map given by : { [ \_ 1 +\_ 2 +\_ 3 + } } } +\_ k which assigns to every face { the sum of the co-dimension 1 faces contained in {. When the coefficient domain is a field of characte

Shellability of Simplicial Complexes Ari
Shellability of Simplicial Complexes Arising in Representation Theory
✍ Luise Unger 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 233 KB

## dedicated to h. lenzing on the occasion of his 60th birthday Let A be a finite dimensional, connected, associative algebra withunit over an algebraically closed field k. All modules we consider are finitely generated, and mod A will denote the category of (finitely generated) A-left-modules. T