Regular Article
Stability Critical Graphs and Even Subdivisions of K4

https://doi.org/10.1006/jctb.1993.1055Get rights and content
Under an Elsevier user license
open archive

Abstract

A graph is stability critical (α-critical) if the removal of any edge increases the stability number. We give an affirmative answer to a question raised by Chváktal, namely, that every connected, critical graph that is neither K2 nor an odd cycle contains an even subdivision of K4

Cited by (0)