One-factor in random graphs based on vertex choice
β Scribed by E. Shamir; E. Upfal
- Publisher
- Elsevier Science
- Year
- 1982
- Tongue
- English
- Weight
- 541 KB
- Volume
- 41
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
β¦ Synopsis
The following result is proved: Consider a random graph on n vertices where each ?'zitex chooses randomIy a set of c neigh~rs.
If c 26, then the graph has a l-factor, with probability + 1 as tt ---, ~0.
π SIMILAR VOLUMES
## Abstract We consider oneβfactorizations of __K__~2__n__~ possessing an automorphism group acting regularly (sharply transitively) on vertices. We present some upper bounds on the number of oneβfactors which are fixed by the group; further information is obtained when equality holds in these boun
We give a necessary and suflicient exactly one vertex of infinite degree. condition for the existence of a l-factor in graphs with ## 1. Illmmdon The following well-known necessary and sufficient condition for the existence of a l-factor in locally