TITLE:
On the Spectral Characterization of H-Shape Trees
AUTHORS:
Shengbiao Hu
KEYWORDS:
Spectra of Graphs, Cospectral Graphs, Spectra Radius, H-Shape Trees, Determined by Its Spectrum
JOURNAL NAME:
Advances in Linear Algebra & Matrix Theory,
Vol.4 No.2,
May
15,
2014
ABSTRACT: A graph G is said to be determined by its spectrum if any graph having the same spectrum as G is isomorphic to G. An H-shape is a tree with exactly two of its vertices having maximal degree 3. In this paper, a formula of counting the number of closed 6-walks is given on a graph, and some necessary conditions of a graph Γ cospectral to an H-shape are given.