Geodesic
Spectral characterization of $\dagger $-shape trees
The electronic journal of linear algebra, Tome 22 (2011), pp. 822-837.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: The -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 -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.
Classification : 05C50
Keywords: -shape tree, adjacency spectrum, spectral characterization, cospectral graphs 
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     author = {Liu, Fenjin and Huang, Qiongxiang and Liu, Qinghai},
     title = {Spectral characterization of $\dagger $-shape trees},
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     year = {2011},
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Liu, Fenjin; Huang, Qiongxiang; Liu, Qinghai. Spectral characterization of $\dagger $-shape trees. The electronic journal of linear algebra, Tome 22 (2011), pp. 822-837. http://geodesic.mathdoc.fr/item/ELA_2011__22__a22/