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The least signless Laplacian eignvalue of the complements of unicyclic graphs

Author

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  • Yu, Gui-Dong
  • Fan, Yi-Zheng
  • Ye, Miao-Lin

Abstract

Let Snc be the set of all connected graph each of which is a complement of an n-vertex unicyclic graph. Li and Wang (2012) determined the graphs with the least signless Laplacian eignvalue among all the graphs of the complements of n-vertex trees. In this paper, as a continuance of it, the unique graph among Snc which minimizes the least signless Laplacian eigenvalue is identified.

Suggested Citation

  • Yu, Gui-Dong & Fan, Yi-Zheng & Ye, Miao-Lin, 2017. "The least signless Laplacian eignvalue of the complements of unicyclic graphs," Applied Mathematics and Computation, Elsevier, vol. 306(C), pages 13-21.
    • Handle: RePEc:eee:apmaco:v:306:y:2017:i:c:p:13-21
    DOI: 10.1016/j.amc.2017.02.018
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