A special class of triple starlike trees characterized by Laplacian spectrum

Abstract

Two graphs are said to be cospectral with respect to the Laplacian matrix if they have the same Laplacian spectrum. A graph is said to be determined by the Laplacian spectrum if there is no other non-isomorphic graph with the same Laplacian spectrum. In this paper, we prove that one special class of triple starlike tree is determined by its Laplacian spectrum.

Keywords

• laplacian spectrum
• tree
• triple starlike tree