| Unicyclic Graphs with a Perfect Matching Having Signless Laplacian Eigenvalue Two |
| Received:May 12, 2016 Revised:July 29, 2016 |
| Key Words:
Signless Laplacian matrix unicyclic graph multiplicity
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| Fund Project:Supported by the National Natural Science Foundation of China (Grant Nos.61379021; 11471077), the Natural Science Foundation of Fujian Province (Grant Nos.2015J01018; 2016J01673), the Project of Fujian Education Department (Grant No.JZ160455), Research Fund of Minnan Normal University (Grant No.MX1603), Faculty Research Grant of Hong Kong Baptist University. |
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| Abstract: |
| In this paper, a necessary and sufficient condition for a unicyclic graph with a perfect matching having signless Laplacian eigenvalue $2$ is deduced. |
| Citation: |
| DOI:10.3770/j.issn:2095-2651.2017.04.001 |
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