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Long cycles in 3-connected graphs in orientable surfaces

✍ Scribed by Laura Sheppardson; Xingxing Yu

Publisher: John Wiley and Sons
Year: 2002
Tongue: English
Weight: 157 KB
Volume: 41
Category: Article
ISSN: 0364-9024
DOI: 10.1002/jgt.10051

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✦ Synopsis

Abstract

In this article, we apply a cutting theorem of Thomassen to show that there is a function f: N → N such that if G is a 3‐connected graph on n vertices which can be embedded in the orientable surface of genus g with face‐width at least f(g), then G contains a cycle of length at least cn, where c is a constant not dependent on g. © 2002 Wiley Periodicals, Inc. J Graph Theory 41: 69–84, 2002

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