## Abstract We show that every __k__βconnected graph with no 3βcycle contains an edge whose contraction results in a __k__βconnected graph and use this to prove that every (__k__ + 3)βconnected graph contains a cycle whose deletion results in a __k__βconnected graph. This settles a problem of L. Lo
Nonseparating Induced Cycles Consisting of Contractible Edges in k-Connected Graphs
β Scribed by Yoshimi Egawa; Katsumi Inoue; Ken-ichi Kawarabayashi
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 628 KB
- Volume
- 11
- Category
- Article
- ISSN
- 1571-0653
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