Spectral Characterization of a Specific Class of Trees

Xiaoxia Fan1, Xing Gao2, Yanfeng Luo2
1 Department of Mathematics, Lanzhou University, Lanzhou, Gansu 730000, PR China
2Department of Mathematics, Lanzhou University, Lanzhou, Gansu 730000, PR China

Abstract

In this paper, it is shown that the graph \(T_{4}(p, q, r)\) is determined by its Laplacian spectrum and there are no two non-isomorphic such graphs which are cospectral with respect to adjacency spectrum.