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Nonseparating cycles in K-Connected graphs

✍ Scribed by Carsten Thomassen

Publisher: John Wiley and Sons
Year: 1981
Tongue: English
Weight: 192 KB
Volume: 5
Category: Article
ISSN: 0364-9024
DOI: 10.1002/jgt.3190050403

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✦ Synopsis

Abstract

We show that every k‐connected graph with no 3‐cycle contains an edge whose contraction results in a k‐connected graph and use this to prove that every (k + 3)‐connected graph contains a cycle whose deletion results in a k‐connected graph. This settles a problem of L. Lovász.

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