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Determination of double quasi-star tree from its Laplacian spectrum
Authors:Peng-li Lu  Xiao-dong Zhang and Yuan-ping Zhang
Institution:[1]School of Computer and Communication, Lanzhou University of Technology, Lanzhou 730050, P. R. China [2]Department of Mathematics, Shanghai Jiao Tong University, Shanghai 200240, P. R. China
Abstract:Let Hn(p, q) be a tree obtained from two stars K1,p and K1,q by identifying the center of K1,p with one end of a
path Pn and the center of K1,q with the other end of Pn. We call Hn(p, p−1) a double quasi-star tree. In this paper, we show
that a double quasi-star tree is determined by its Laplacian spectrum.
Keywords:Laplacian spectrum  cospectral graph  double quasi-star tree
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