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On Hamilton circuits and Hamilton paths

✍ Scribed by G. A. Dirac


Publisher
Springer
Year
1972
Tongue
English
Weight
828 KB
Volume
197
Category
Article
ISSN
0025-5831

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πŸ“œ SIMILAR VOLUMES


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## Abstract In this paper the concepts of Hamilton cycle (HC) and Hamilton path (HP) extendability are introduced. A connected graph Ξ“ is __n__‐__HC‐extendable__ if it contains a path of length __n__ and if every such path is contained in some Hamilton cycle of Ξ“. Similarly, Ξ“ is __weakly n__‐__HP‐

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## Abstract A cycle __C__ in a graph __G__ is a __Hamilton cycle__ if __C__ contains every vertex of __G__. Similarly, a path __P__ in __G__ is a __Hamilton path__ if __P__ contains every vertex of __G__. We say that __G__ is __Hamilton__‐__connected__ if for any pair of vertices, __u__ and __v__ o