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arxiv: 1011.0796 · v1 · pith:GYU7YC5Enew · submitted 2010-11-03 · 🧮 math.CO

Spectral characterization of a specific class of trees

classification 🧮 math.CO
keywords spectrumadjacencycharacterizationclasscospectraldeterminedgraphgraphs
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In this paper, it is shown that the graph $T_4(p,q,r)$ is determined by its Laplacian spectrum and there are no two non-isomorphic such graphs which are cospectral with respect to adjacency spectrum.

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