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Laplacian spectral characterization of some double starlike trees

Abstract

A tree is called double starlike if it has exactly two vertices of degree greater than two. Let H(p,n,q)H(p,n,q) denote the double starlike tree obtained by attaching pp pendant vertices to one pendant vertex of the path PnP_n and qq pendant vertices to the other pendant vertex of PnP_n. In this paper, we prove that H(p,n,q)H(p,n,q) is determined by its Laplacian spectrum

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