Spectral Results on Some Hamiltonian Properties of Graphs

Abstract

Using Lotker’s interlacing theorem on the Laplacian eigenvalues of a graph in [5] and Wang and Belardo’s interlacing theorem on the signless Laplacian eigenvalues of a graph in [6], we in this note obtain spectral conditions for some Hamiltonian properties of graphs

Keywords

• Laplacian eigenvalue
• signless Laplacian eigenvalue
• Connectivity
• Hamiltonian property.