On Hamilton circuits and Hamilton paths
β Scribed by G. A. Dirac
- Publisher
- Springer
- Year
- 1972
- Tongue
- English
- Weight
- 828 KB
- Volume
- 197
- Category
- Article
- ISSN
- 0025-5831
No coin nor oath required. For personal study only.
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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__β__HCβextendable__ 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__β__HPβ
## 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__β__connected__ if for any pair of vertices, __u__ and __v__ o