Starlike trees are determined by their Laplacian spectrum

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Abstract

In this paper, we show that if G is a starlike tree, then it is determined by its Laplacian spectrum. Moreover we prove some facts about trees with the same adjacency spectrum as a starlike tree. © 2007 Elsevier Inc. All rights reserved.

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Omidi, G. R., & Tajbakhsh, K. (2007). Starlike trees are determined by their Laplacian spectrum. Linear Algebra and Its Applications, 422(2–3), 654–658. https://doi.org/10.1016/j.laa.2006.11.028

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