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ArticleOriginal scientific text

Title

Hamilton cycles in split graphs with large minimum degree

Authors 1, 2

Affiliations

  1. Institute of Mathematics, 18 Hoang Quoc Viet Road, 10307 Hanoi, Vietnam
  2. Provincial Office of Education and Training, Tuyen Quang, Vietnam

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

ENG
Hamilton cycle, split graph, bipartite graph

Bibliography

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Discussiones Mathematicae Graph Theory
2004/24/1
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Pages:
23-40
Main language of publication
English
Received
2001-02-13
Accepted
2002-10-02
Published
2004

DOI: 10.7151/dmgt.1210

Exact and natural sciences