Name
Abstract | ||
|---|---|---|
Given any finite simplicial complex Delta, we show how to construct from a colouring chi of Delta a new simplicial complex Delta(chi) that is balanced and vertex decomposable. In addition, the h-vector of Delta(chi) is precisely the f-vector of Delta. Our construction generalizes the "whiskering" construction of Villarreal, and Cook and Nagel. We also reverse this construction to prove a special case of a conjecture of Cook and Nagel, and Constantinescu and Varbaro on the h-vectors of flag complexes. |
Year | Venue | Keywords |
|---|---|---|
2013 | ELECTRONIC JOURNAL OF COMBINATORICS | simplicial complex,vertex decomposable,flag complex,h-vector |
Field | DocType | Volume |
Topology,Combinatorics,Betti number,Vertex (geometry),Simplicial complex,Corollary,Conjecture,Mathematics,Abstract simplicial complex,Special case | Journal | 20.0 |
Issue | ISSN | Citations |
3.0 | 1077-8926 | 0 |
PageRank | References | Authors |
0.34 | 7 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Jennifer Biermann | 1 | 0 | 0.68 |
| Adam Van Tuyl | 2 | 15 | 4.32 |