Longest Simple Paths in Polyhedral Graphs
β Scribed by Grunbaum, B.; Motzkin, T. S.
- Book ID
- 120098077
- Publisher
- Oxford University Press
- Year
- 1962
- Tongue
- English
- Weight
- 203 KB
- Volume
- s1-37
- Category
- Article
- ISSN
- 0024-6107
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π SIMILAR VOLUMES
In this paper we obtain two sufficient conditions, Ore type (Theorem 1) and Dirac type (Theorem 2). on the degrees of a bipartite oriented graph for ensuring the existence of long paths and cycles. These conditions are shown to be the best possible in a sense. An oriented graph is a digraph without
In this article w e show that the standard results concerning longest paths and cycles in graphs can be improved for K,,,-free graphs. We obtain as a consequence of these results conditions for the existence of a hamiltonian path and cycle in K,,,-free graphs.