Two sufficient conditions for a 2-factor in a bipartite graph
β Scribed by P. Katerinis
- Publisher
- John Wiley and Sons
- Year
- 1987
- Tongue
- English
- Weight
- 186 KB
- Volume
- 11
- Category
- Article
- ISSN
- 0364-9024
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π SIMILAR VOLUMES
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.
In this article, we consider the following problem: Given a bipartite graph G and a positive integer k, when does G have a 2-factor with exactly k components? We will prove that if , then, for any bipartite graph H = (U 1 , U 2 ; F ) with |U 1 | β€ n, |U 2 | β€ n and β(H) β€ 2, G contains a subgraph i
## 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.