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A Krasnosel’skii-type theorem for paths of bounded length

✍ Scribed by Marilyn Breen

Publisher: Springer
Year: 1997
Tongue: English
Weight: 273 KB
Volume: 68
Category: Article
ISSN: 0003-889X
DOI: 10.1007/pl00000393

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Let be x, y two vertices of a graph G, such that t openly disjoint xy-paths of length 2 3 exist. In this article we show that then there exists a set S of cardinality less than or equal to 3 t -2, resp. 2 t for t E {1,2,3}, which destroys all xy-paths of length 23. Also a lower bound for the cardina