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The least eigenvalue of graphs whose complements have only two pendent vertices

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Listed:
  • Jiang, Guisheng
  • Yu, Guidong
  • Sun, Wei
  • Ruan, Zheng

Abstract

Let G be a simple graph and A(G) be the adjacency matrix of G. The eigenvalues of A(G) are referred to as the eigenvalues of G. In this paper, we characterize the graphs with the minimal least eigenvalue among all graphs whose complements are connected and have only two pendent vertices.

Suggested Citation

  • Jiang, Guisheng & Yu, Guidong & Sun, Wei & Ruan, Zheng, 2018. "The least eigenvalue of graphs whose complements have only two pendent vertices," Applied Mathematics and Computation, Elsevier, vol. 331(C), pages 112-119.
    • Handle: RePEc:eee:apmaco:v:331:y:2018:i:c:p:112-119
    DOI: 10.1016/j.amc.2018.02.048
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    References listed on IDEAS

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    1. Haemers, W.H., 1995. "Interlacing eigenvalues and graphs," Other publications TiSEM 35c08207-2c5c-4387-aaf5-2, Tilburg University, School of Economics and Management.
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