A new construction for vertex decomposable graphs

Let G be a finite simple graph on the vertex set V(G) and let S⊆V(G). Adding a whisker to G at x means adding a new vertex y and edge xy to G where x∈V(G). The graph G∪W(S) is obtained from G by adding a whisker to every vertex of S. We prove that if G∖S is either a graph with no chordless cycle of...

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Bibliographic Details
Main Authors: Nasser Hajisharifi, Abolfazl Tehranian
Format: Article
Language:English
Published: University of Isfahan 2016-09-01
Series:Transactions on Combinatorics
Subjects:
Online Access:http://www.combinatorics.ir/article_13316_43779a03b5b9504e38c712a31b3b66d0.pdf