𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Shellability of chessboard complexes

✍ Scribed by Günter M. Ziegler

Book ID
112889304
Publisher
The Hebrew University Magnes Press
Year
1994
Tongue
English
Weight
572 KB
Volume
87
Category
Article
ISSN
0021-2172

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Shellability of Complexes of Trees
Shellability of Complexes of Trees
✍ Henryk Trappmann; Günter M Ziegler 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 504 KB

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.

Chessboard complexes indomitable
Chessboard complexes indomitable
✍ Siniša T. Vrećica; Rade T. Živaljević 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 174 KB
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

Extendable shellability for rank 3 matro
Extendable shellability for rank 3 matroid complexes
✍ Anders Björner; Kimmo Eriksson 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 243 KB

We prove that matroid complexes of rank 3 are extendably shellable. Let (,") be the family of k-element subsets of a finite set E. There is a conjecture of Simon [lo] that (f) is extendably shellable for every k. In this paper we will prove that matroid complexes of rank 3 are extendably shellable.