On the Laplacian spectral characterization of Π-shape trees

Fei Wen (), Qiongxiang Huang (), Xueyi Huang and Fenjin Liu
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Fei Wen: Lanzhou Jiaotong University
Qiongxiang Huang: Xinjiang University
Xueyi Huang: Xinjiang University
Fenjin Liu: Chang’an University

Indian Journal of Pure and Applied Mathematics, 2018, vol. 49, issue 3, 397-411

Abstract: Abstract A Π-shape tree is a tree with exactly two vertices having the maximum degree three. In this paper, we classify the Π-shape trees into two types, and complete the spectral characterization for one type. Exactly, we prove that all graphs of this type are determined by their Laplacian spectra with some exceptions. Moreover, we give some L-cospectral mates of some graphs for another type.

Keywords: Π-shape tree; Laplacian spectrum; cospectral graphs (search for similar items in EconPapers)
Date: 2018
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DOI: 10.1007/s13226-018-0276-5

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