A graph G is said to be cyclable if for each orientation D of G, there exists a set S(D) β V (G) such that reversing all the arcs with one end in S results in a Hamiltonian digraph. Let G be a simple graph of even order n β₯ 8. In this paper, we show that if the degree sum of any two nonadjacent vert
An Ore-type sufficient condition for a bipancyclic ordering
β Scribed by George R.T. Hendry
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 174 KB
- Volume
- 102
- Category
- Article
- ISSN
- 0012-365X
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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.
## Abstract Let __G__ be a __k__βconnected graph of order __n__. For an independent set c, let __d(S)__ be the number of vertices adjacent to at least one vertex of __S__ and > let i(S) be the number of vertices adjacent to at least |S| vertices of __S__. We prove that if there exists some s, 1 β€ s