flag complex

GPTKB entity

Statements (17)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:alsoKnownAs clique complex
gptkbp:application topological data analysis
nerve of a covering
study of hypergraphs
gptkbp:defines A simplicial complex in which every finite set of vertices that are pairwise connected by edges spans a simplex.
gptkbp:field gptkb:topology
combinatorics
https://www.w3.org/2000/01/rdf-schema#label flag complex
gptkbp:property Every flag complex is determined by its 1-skeleton (the underlying graph).
The clique complex of a graph is a flag complex.
Every simplex in a flag complex is determined by its 1-skeleton.
gptkbp:relatedTo gptkb:clique
graph theory
CW complex
gptkbp:bfsParent gptkb:CW_complex
gptkbp:bfsLayer 6