Multicluster interleaving on paths and cycles
β Scribed by Jiang, A.; Bruck, J.
- Book ID
- 114638631
- Publisher
- IEEE
- Year
- 2005
- Tongue
- English
- Weight
- 477 KB
- Volume
- 51
- Category
- Article
- ISSN
- 0018-9448
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
The purpose of this communication is to announce some slrfficient conditions on degrees and number of arcs to insure the existence of cycles and paths in directed graphs. We show that these results are the best possible. The proofs of the theorems can be found in [4].
## Abstract In 1960 Ore proved the following theorem: Let __G__ be a graph of order __n__. If __d__(__u__) + __d__(__v__)β₯__n__ for every pair of nonadjacent vertices __u__ and __v__, then __G__ is hamiltonian. Since then for several other graph properties similar sufficient degree conditions have
## Abstract For a graph __G__, __p__(__G__) and __c__(__G__) denote the order of a longest path and a longest cycle of __G__, respectively. In this paper, we prove that if __G__ is a 3 βconnected graph of order __n__ such that the minimum degree sum of four independent vertices is at least __n__+ 6