## Abstract The prism over a graph __G__ is the Cartesian product __G__ β‘ __K__~2~ of __G__ with the complete graph __K__~2~. If __G__ is hamiltonian, then __G__β‘__K__~2~ is also hamiltonian but the converse does not hold in general. Having a hamiltonian prism is shown to be an interesting relaxati
Knots in Hamilton Cycles
β Scribed by Mansfield, Marc L.
- Book ID
- 126876347
- Publisher
- American Chemical Society
- Year
- 1994
- Tongue
- English
- Weight
- 376 KB
- Volume
- 27
- Category
- Article
- ISSN
- 0024-9297
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
The edges of the complete graph K, are coloured so that no colour appears more than k = k(n) times, k=rn/(A In n)l, for some sufficiently large A. We show that there is always a Hamiltonian cycle in which each edge is a different colour. The proof technique is probabilistic.
## Abstract We show that a directed graph of order __n__ will contain __n__βcycles of every orientation, provided each vertex has indegree and outdegree at least (1/2 + __n__^β1/6^)__n__ and __n__ is sufficiently large. Β© 1995 John Wiley & Sons, Inc.
## Abstract We extend Whitney's Theorem that every plane triangulation without separating triangles is hamiltonian by allowing some separating triangles. More precisely, we define a decomposition of a plane triangulation __G__ into 4βconnected βpieces,β and show that if each piece shares a triangle
## UNIVERSIW OF WATERLOO ' The research reported here has been sponsored by the Canadian Commonwealth Association.