Petersen family minors
type: Item
instance of: scholarly article
title: Petersen family minors
zbMATH Open document ID: 0832.05031
author: Neil Robertson
author: Robin Thomas
author: Paul Seymour
published in: Journal of Combinatorial Theory. Series B
publication date: 1995-09-20T00:00:00Z
review text: The Petersen family consists of the seven graphs obtained from \(K_6\) by \(Y- \Delta\) and \(\Delta- Y\) exchanges. The paper, which serves as preparation for the proof of Sachs' linkless embedding conjecture (same authors [J. Comb. Theory, Ser. B 64, 185-227 (1995; Zbl 0832.05032)]), characterizes the class of graphs with no Petersen family minor.
Mathematics Subject Classification ID: 05C10
Mathematics Subject Classification ID: 05C40
Mathematics Subject Classification ID: 05C75
zbMATH DE Number: 798746
zbMATH Keywords: connectivity
zbMATH Keywords: Petersen family
zbMATH Keywords: exchanges
zbMATH Keywords: embedding conjecture
zbMATH Keywords: minor
reviewed by: Stelian Mihalas
MaRDI profile type: Publication
full work available at URL: jctb.1995.1031
OpenAlex ID: W2042932000
DOI: 10.1006/JCTB.1995.1031
description: scientific article; zbMATH DE number 798746