Laplacian spectral characterization of 3-rose graphs |
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| Authors: | Fenjin Liu Qiongxiang Huang |
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| Institution: | 1. College of Science, Chang?an University, Xi?an, Shaanxi, 710064, PR China;2. College of Mathematics and System Science, Xinjiang University, Urumqi, 830046, PR China |
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| Abstract: | A 3-rose graph is a graph consisting of three cycles intersecting in a common vertex, J. Wang et al. showed all 3-rose graphs with at least one triangle are determined by their Laplacian spectra. In this paper, we complete the above Laplacian spectral characterization and prove that all 3-rose graphs are determined by their Laplacian spectra. |
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| Keywords: | 05C50 |
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