Laplacian spectral characterization of disjoint union of paths and cycles |
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| Authors: | JF Wang SK Simić QX Huang EM Li Marzi |
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| Institution: | 1. Department of Mathematics , Qinghai Normal University , Xining, Qinghai 810008, P.R. China;2. College of Mathematics and System Science , Xinjiang University , Urumqi 830046, P.R. China;3. Mathematical Institute SANU , Knez Mihailova 36, Belgrade 11 001, Serbia;4. College of Mathematics and System Science , Xinjiang University , Urumqi 830046, P.R. China;5. Department of Mathematics , University of Messina , 98166 Sant'Agata, Messina, Italy |
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| Abstract: | The Laplacian spectrum of a graph consists of the eigenvalues (together with multiplicities) of the Laplacian matrix. In this article we determine, among the graphs consisting of disjoint unions of paths and cycles, those ones which are determined by the Laplacian spectrum. For the graphs, which are not determined by the Laplacian spectrum, we give the corresponding cospectral non-isomorphic graphs. |
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| Keywords: | Laplacian spectrum cospectral graphs spectral characterization spectral determination |
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