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Path factors in cubic graphs

✍ Scribed by Ken-ichi Kawarabayashi; Haruhide Matsuda; Yoshiaki Oda; Katsuhiro Ota


Publisher
John Wiley and Sons
Year
2002
Tongue
English
Weight
67 KB
Volume
39
Category
Article
ISSN
0364-9024

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πŸ“œ SIMILAR VOLUMES


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## Abstract A path on __n__ vertices is denoted by __P__~__n__~. For any graph __H__, the number of isolated vertices of __H__ is denoted by __i(H)__. Let __G__ be a graph. A spanning subgraph __F__ of __G__ is called a {__P__~3~, __P__~4~, __P__~5~}‐factor of __G__ if every component of __F__ is o

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## Abstract In this paper we show that every simple cubic graph on __n__ vertices has a set of at least βŒˆβ€‰__n__/4β€‰βŒ‰ disjoint 2‐edge paths and that this bound is sharp. Our proof provides a polynomial time algorithm for finding such a set in a simple cubic graph. Β© 2003 Wiley Periodicals, Inc. J Gra