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Discussiones Mathematicae Graph Theory 24(1) (2004) 23-40
DOI: https://doi.org/10.7151/dmgt.1210
HAMILTON CYCLES IN SPLIT GRAPHS WITH LARGE MINIMUM DEGREE
| Ngo Dac Tan
Institute of Mathematics |
Le Xuan Hung
Provincial Office of Education and Training |
Abstract
A graph G is called a split graph if the vertex-set V of G can be partitioned into two subsets V1 and V2 such that the subgraphs of G induced by V1 and V2 are empty and complete, respectively. In this paper, we characterize hamiltonian graphs in the class of split graphs with minimum degree δ at least | V1| − 2.Keywords: Hamilton cycle, split graph, bipartite graph.
2000 Mathematics Subject Classification: 05C45, 05C75.
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Received 13 February 2001
Revised 2 October 2002