## Abstract A double Dudeney set in __K~n~__ is a multiset of Hamilton cycles in __K~n~__ having the property that each 2βpath in __K~n~__ lies in exactly two of the cycles. A double Dudeney set in __K~n~__ has been constructed when __n__ββ₯β4 is even. In this paper, we construct a double Dudeney se
Cycle double covers of graphs with Hamilton paths
β Scribed by Luis A Goddyn
- Publisher
- Elsevier Science
- Year
- 1989
- Tongue
- English
- Weight
- 114 KB
- Volume
- 46
- Category
- Article
- ISSN
- 0095-8956
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
It is shown that if a graph has a cycle double cover, then its line graph also has a cycle double cover. The converse of this result for 2-edge-connected graphs would imply the truth of the cycle double cover conjecture. Cycle Double Cover Conjecture (CDCC). Every 2-edge-connected graph has a CDC.
## 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
## Abstract A __perfect path double cover__ (PPDC) of a graph __G__ on __n__ vertices is a family π« of __n__ paths of __G__ such that each edge of __G__ belongs to exactly two members of π« and each vertex of __G__ occurs exactly twice as an end of a path of π«. We propose and study the conjecture th