The independence number and some Hamiltonian properties of a graph

Rao Li1
1Dept. of Computer Science, Engineering and Mathematics, University of South Carolina Aiken, Aiken, SC 29801, USA

Abstract

In this note, we present sufficient conditions involving the independence number, the minimum degree, and the maximum degree for some Hamiltonian properties of a graph.

Keywords: the independence number, Hamiltonian graph, traceable graph