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Spread Conditions for Some Hamiltonian Properties of a Graph

Rao Li1
1Dept. of mathematical sciences University of South Carolina Aiken Aiken, SC 29801

Abstract

The spread of a graph \(G\) is defined as the difference between the largest and smallest eigenvalues of \(G\). Using the lower bounds obtained by Liu and Liu in [4] on the spread of a graph, we in this note present spread conditions for some Hamiltonian properties of a graph.

Keywords: spread of a graph, Hamiltonian properties