Methods and programs for generating random graphs
β Scribed by T. A. Tushkina
- Publisher
- Springer US
- Year
- 1981
- Tongue
- English
- Weight
- 286 KB
- Volume
- 15
- Category
- Article
- ISSN
- 1573-8795
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Let G be chosen uniformly at random from the set G G r, n of r-regular graphs w x Ε½ . with vertex set n . We describe polynomial time algorithms that whp i find a Ε½ . Hamilton cycle in G, and ii approximately count the number of Hamilton cycles in G.
In this paper we examine a method for establishing an almost sure existence of a subgraph of a random graph with a given subgraph property. Since the method has been abused in the literature, we state some conditions under which it can be safely used. As an illustration we apply the method to induce
## Abstract We describe an algorithm for cataloging graphs by generating them uniformly at random. The method used is based on a recent algorithm by Dixon and Wilf that generates orbit representatives uniformly at random. The approach is refined to graphs with prescribed numbers of edges and vertic