Paths and cycles in matroid base graphs
β Scribed by Brian Alspach; Guizhen Liu
- Publisher
- Springer Japan
- Year
- 1989
- Tongue
- English
- Weight
- 318 KB
- Volume
- 5
- Category
- Article
- ISSN
- 0911-0119
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## Abstract We obtain several sufficient conditions on the degrees of an oriented graph for the existence of long paths and cycles. As corollaries of our results we deduce that a regular tournament contains an edgeβdisjoint Hamilton cycle and path, and that a regular bipartite tournament is hamilto
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We extend an elegant proof technique of A . G . Thomason, and deduce several parity theorems for paths and cycles in graphs. For example, a graph in which each vertex is of even degree has an even number of paths if and only if it is of even order, and a graph in which each vertex is of odd degree h