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A condition for a hamiltonian bipartite graph to be bipancyclic

✍ Scribed by D. Amar


Publisher
Elsevier Science
Year
1992
Tongue
English
Weight
364 KB
Volume
102
Category
Article
ISSN
0012-365X

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The total chromatic number Ο‡ T (G) of graph G is the least number of colors assigned to V (G) βˆͺ 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) = βˆ†(G) + 1.

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We describe a new type of sufficient condition for a digraph to be Hamiltonian. Conditions of this type combine local structure of the digraph with conditions on the degrees of nonadjacent vertices. The main difference from earlier conditions is that we do not require a degree condition on all pairs