On the Laplacian spectral characterization of Π-shape trees

On the Laplacian spectral characterization of Π-shape trees
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DOI:
10.1007/s13226-018-0276-5
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发表时间:
2018-09
影响因子:
0.7
通讯作者:
Fei Wen;Qiongxiang Huang;Xueyi Huang;Fenjin Liu
Fei Wen;Qiongxiang Huang;Xueyi Huang;Fenjin Liu
中科院分区:
数学4区
文献类型:
--
作者:
Fei Wen;Qiongxiang Huang;Xueyi Huang;Fenjin Liu

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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 someL-cospectral mates of some graphs for another type.