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Bounding the sum of powers of normalized Laplacian eigenvalues of a graph

Author

Listed:
  • Li, Jianxi
  • Guo, Ji-Ming
  • Shiu, Wai Chee
  • Altındağ, Ş. Burcu Bozkurt
  • Bozkurt, Durmuş

Abstract

Let G be a simple connected graph of order n. Its normalized Laplacian eigenvalues are λ1≥λ2≥⋯≥λn−1≥λn=0. In this paper, new bounds on Sβ*(G)=∑i=1n−1λiβ (β ≠ 0, 1) are derived.

Suggested Citation

  • Li, Jianxi & Guo, Ji-Ming & Shiu, Wai Chee & Altındağ, Ş. Burcu Bozkurt & Bozkurt, Durmuş, 2018. "Bounding the sum of powers of normalized Laplacian eigenvalues of a graph," Applied Mathematics and Computation, Elsevier, vol. 324(C), pages 82-92.
    • Handle: RePEc:eee:apmaco:v:324:y:2018:i:c:p:82-92
    DOI: 10.1016/j.amc.2017.12.003
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    References listed on IDEAS

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    1. Shi, Yongtang, 2015. "Note on two generalizations of the Randić index," Applied Mathematics and Computation, Elsevier, vol. 265(C), pages 1019-1025.
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    Cited by:

    1. Sun, Shaowei & Das, Kinkar Ch., 2019. "On the second largest normalized Laplacian eigenvalue of graphs," Applied Mathematics and Computation, Elsevier, vol. 348(C), pages 531-541.

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