Paper Info
Title
The EKR property for flag pure simplicial complexes without boundary.
Abstract
We prove that the family of facets of a pure simplicial complex C of dimension up to three satisfies the Erdős-Ko-Rado property whenever C is flag and has no boundary ridges. We conjecture the same to be true in arbitrary dimension and give evidence for this conjecture. Our motivation is that complexes with these two properties include flag pseudo-manifolds and cluster complexes.
Year
DOI
Venue
2020
10.1016/j.jcta.2019.105205
Journal of Combinatorial Theory, Series A
Keywords
Field
DocType
Erdős-Ko-Rado property,EKR,Flag (pseudo-)manifolds,Cluster complexes,Simplicial complexes
Combinatorics,Simplicial complex,Conjecture,Mathematics
Journal
Volume
ISSN
Citations 
172
0097-3165
0
PageRank 
References 
Authors
0.34
0
4
Name
Order
Citations
PageRank
Jorge Alberto Olarte100.34
Francisco Santos26410.99
Jonathan Spreer34711.46
Christian Stump442.51