K-Factors and Hamilton Cycles in Graphs
โ Scribed by Zhi Guo Wang; Zhen Jiang Zhao
- Book ID
- 106278092
- Publisher
- Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
- Year
- 2006
- Tongue
- English
- Weight
- 130 KB
- Volume
- 23
- Category
- Article
- ISSN
- 1439-7617
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
## UNIVERSIW OF WATERLOO ' The research reported here has been sponsored by the Canadian Commonwealth Association.
## 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__โ__connected__ if for any pair of vertices, __u__ and __v__ o
It is shown that the Trivalent Cayley graphs, TC,,, are near recursive. In particular, TC, is a union of four copies of i"Cn\_2 with additional well placed nodes. This allows one to recursively build the Hamilton cycle in TC,.