A new conjecture about minimal imperfect graphs
type: Item
instance of: scholarly article
title: A new conjecture about minimal imperfect graphs
zbMATH Open document ID: 0634.05048
DOI: 10.1016/0095-8956(89)90024-5
author: B. George
published in: Journal of Combinatorial Theory. Series B
publication date: 1989-01-01T00:00:00Z
full work available at URL: https://digitalcommons.odu.edu/cgi/viewcontent.cgi
review text: H. Meyniel proved that in every minimal imperfect graph, every pair of vertices is joined by a chordless path containing an odd number of edges. We conjectured that in every minimal imperfect graph, every pair of vertices is joined by a path containing an even number of edges. We give an equivalent version of this new conjecture.
Mathematics Subject Classification ID: 05C38
Mathematics Subject Classification ID: 05C99
zbMATH DE Number: 4031739
zbMATH Keywords: minimal imperfect graphs
zbMATH Keywords: chordless path
zbMATH Keywords: odd number of edges
zbMATH Keywords: path
zbMATH Keywords: even number of edges
zbMATH Keywords: perfect graphs
MaRDI profile type: Publication
OpenAlex ID: W2092861584
cites work: A new property of critical imperfect graphs and some consequences
cites work: A note on even pairs
description: scientific article; zbMATH DE number 4031739