@article {IOPORT.06098825, author = {Liu, Fenjin and Huang, Qiongxiang and Liu, Qinghai}, title = {Spectral characterization of $\dagger $-shape trees.}, year = {2011}, journal = {ELA. The Electronic Journal of Linear Algebra [electronic only]}, volume = {22}, issn = {1081-3810}, pages = {822-837, electronic only}, publisher = {ILAS - The International Linear Algebra Society c/o Daniel Hershkowitz, Department of Mathematics, Technion - Israel Institute of Techonolgy, Haifa}, abstract = {Summary: The $\dagger $-shape tree is the coalescence of the star $K_{1,4}$ and the path $P_{n - 4}$ with respect to two pendent vertices. In this paper, it is showed that the $\dagger $-shape tree is determined by its adjacency spectrum if and only if $n = 2k + 9$ ($k = 0, 1,\dots$). Furthermore, all the cospectral mates of the $\dagger$-shape tree are found when $n = 2k + 9$.}, identifier = {06098825}, }