Spectral characterization of †-shape trees

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Fenjin Liu
Qiongxiang Huang
Qinghai Liu


The†-shape tree is the coalescence of the starK1,4 and the path Pn−4 with respect to two pendent vertices.  In this paper, it is showed that the †-shape tree is determined by its adjacency spectrum if and only if n ≠ 2k+ 9 (k= 0,1, . . .). Furthermore, all the cospectral mates of the †-shape tree are found when n= 2k+ 9.

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