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Weakly pancyclic graphs

✍ Scribed by Brandt, Stephan; Faudree, Ralph; Goddard, Wayne

Publisher: John Wiley and Sons
Year: 1998
Tongue: English
Weight: 517 KB
Volume: 27
Category: Article
ISSN: 0364-9024
DOI: 10.1002/(sici)1097-0118(199803)27:3<141::aid-jgt3>3.0.co;2-o

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✦ Synopsis

In generalizing the concept of a pancyclic graph, we say that a graph is ''weakly pancyclic'' if it contains cycles of every length between the length of a shortest and a longest cycle. In this paper it is shown that in many cases the requirements on a graph which ensure that it is weakly pancyclic are considerably weaker than those required to ensure that it is pancyclic. This sheds some light on the content of a famous metaconjecture of Bondy. From the main result of this

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