Clique Complex Homology: A Combinatorial Invariant for Chordal Graphs

Main Author: D. Parks, Allen
Format: Article eJournal
Bahasa: eng
Terbitan: , 2013
Subjects:
Online Access: https://zenodo.org/record/3348240
Daftar Isi:
  • It is shown that a geometric realization of the clique complex of a connected chordal graph is homologically trivial and as a consequence of this it is always the case for any connected chordal graph G that ∑_(k=1)^ω(G)▒(-1)^(k-1) η_k (G)=1, where η_k (G) is the number of cliques of order k in G and ω(G) is the clique number of G.Read Complete Article at ijSciences: V2201306194