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Hamilton cycles in split graphs with large minimum degree

Ngo Dac TanLe Xuan Hung — 2004

Discussiones Mathematicae Graph Theory

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.

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