Stability critical graphs and even subdivisions of \(K_ 4\)
type: Item
instance of: scholarly article
title: Stability critical graphs and even subdivisions of \(K_ 4\)
zbMATH Open document ID: 0793.05133
published in: Journal of Combinatorial Theory. Series B
publication date: 1994-05-05T00:00:00Z
review text: A graph is stability critical (\(\alpha\)-critical) if the removal of any edge increases the stability number. We give an affirmative answer to a question raised by Chvátal, namely, that every connected, critical graph that is neither \(K_ 2\) nor an odd cycle contains an even subdivision of \(K_ 4\).
Mathematics Subject Classification ID: 05C99
zbMATH DE Number: 562384
zbMATH Keywords: stability critical graphs
zbMATH Keywords: stability number
author: E. C. Sewell
author: Leslie E. jun. Trotter
MaRDI profile type: Publication
full work available at URL: jctb.1993.1055
OpenAlex ID: W2033621730
DOI: 10.1006/JCTB.1993.1055
description: scientific article; zbMATH DE number 562384