Title
SHELLABILITY, VERTEX DECOMPOSABILITY, AND LEXICOGRAPHICAL PRODUCTS OF 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 in finite family of graphs whose independence complexes are shellable but not vertex decomposable.
Year
DOI
Venue
2017
10.11575/cdm.v12i2.62777
CONTRIBUTIONS TO DISCRETE MATHEMATICS
Keywords
DocType
Volume
independence complex,vertex decomposable,shellable,circulant graphs
Journal
12
Issue
ISSN
Citations 
2
1715-0868
0
PageRank 
References 
Authors
0.34
2
2
Name
Order
Citations
PageRank
Kevin N. Vander Meulen1175.27
Adam Van Tuyl2154.32