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The extremal α-index of outerplanar and planar graphs

Author

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  • Yu, Zhangqing
  • Kang, Liying
  • Liu, Lele
  • Shan, Erfang

Abstract

Let G be a graph of order n with adjacency matrix A(G) and let D(G) be the diagonal matrix of the degrees of G. For any real α ∈ [0, 1], write Aα(G) for the matrix

Suggested Citation

  • Yu, Zhangqing & Kang, Liying & Liu, Lele & Shan, Erfang, 2019. "The extremal α-index of outerplanar and planar graphs," Applied Mathematics and Computation, Elsevier, vol. 343(C), pages 90-99.
    • Handle: RePEc:eee:apmaco:v:343:y:2019:i:c:p:90-99
    DOI: 10.1016/j.amc.2018.09.043
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    Cited by:

    1. Chen, Ming-Zhu & Liu, A-Ming & Zhang, Xiao-Dong, 2023. "On the Aα-spectral radius of graphs without linear forests," Applied Mathematics and Computation, Elsevier, vol. 450(C).
    2. Chen, Yuanyuan & Li, Dan & Wang, Zhiwen & Meng, Jixiang, 2019. "Aα-spectral radius of the second power of a graph," Applied Mathematics and Computation, Elsevier, vol. 359(C), pages 418-425.

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