Shellability, vertex decomposability, and lexicographical products of graphs

Authors

  • Kevin N Vander Meulen Redeemer University College
  • Adam Van Tuyl McMaster University

DOI:

https://doi.org/10.11575/cdm.v12i2.62777

Keywords:

independence complex, vertex decomposable, shellable, circulant graphs

Abstract

In this note we describe when the independence complex of G[H], the lexicographical product of two graphs G and H, is either vertex decomposable or shellable.  As an application, we show that there exists an infinite family of
graphs whose independence complexes are shellable but not vertex
decomposable.

Author Biography

Adam Van Tuyl, McMaster University

Department of Math & Stats

Associate Professor

References

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Published

2017-11-27

Issue

Vol. 12 No. 2 (2017)

Section

Articles

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