A sufficient condition for a graph to contain three disjoint 1-factors
β Scribed by Sein Win
- Publisher
- John Wiley and Sons
- Year
- 1982
- Tongue
- English
- Weight
- 219 KB
- Volume
- 6
- Category
- Article
- ISSN
- 0364-9024
No coin nor oath required. For personal study only.
β¦ Synopsis
Abstract
Ore derived a sufficient condition for a graph to contain a Hamiltonian cycle. We obtain a sufficient condition, similar to Ore's condition, for a graph to contain a Hamiltonian cycle and a 1βfactor which are edge disjoint.
π SIMILAR VOLUMES
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The total chromatic number Ο T (G) of graph G is the least number of colors assigned to V (G) βͺ E(G) such that no adjacent or incident elements receive the same color. In this article, we give a sufficient condition for a bipartite graph G to have Ο T (G) = β(G) + 1.
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