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Relative lengths of paths and cycles in k-connected graphs

✍ Scribed by S.C Locke


Publisher
Elsevier Science
Year
1982
Tongue
English
Weight
583 KB
Volume
32
Category
Article
ISSN
0095-8956

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Let G be a connected graph, where k 2. S. Smith conjectured that every two longest cycles of G have at least k vertices in common. In this note, we show that every two longest cycles meet in at least ck 3Γ‚5 vertices, where cr0.2615. ## 1998 Academic Press In this note, we provide a lower bound on