A Note on Independence Complexes of Chordal Graphs and Dismantling

  • MichaƂ Adamaszek
Keywords: Chordal graph, Independence complex, Dismantling, Strong collapsibility, Cop-Win graph

Abstract

We show that the independence complex of a chordal graph is contractible if and only if this complex is dismantlable (strong collapsible) and it is homotopy equivalent to a sphere if and only if its core is a cross-polytopal sphere. The proof uses the properties of tree models of chordal graphs.
Published
2017-06-02
Article Number
P2.34