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On the tree with diameter 4 and maximal energy

Author

Listed:
  • Renqian, Suonan
  • Ge, Yunpeng
  • Huo, Bofeng
  • Ji, Shengjin
  • Diao, Qiangqiang

Abstract

The energy of a simple graph is defined as the sum of the absolute values of all the eigenvalues of its adjacency matrix. Jianping found the structure of trees which have maximal energy among all trees of diameter 4 whose centers are of degree t. This paper generalizes the result. We determine the structure of the general tree of diameter 4 and maximal energy.

Suggested Citation

  • Renqian, Suonan & Ge, Yunpeng & Huo, Bofeng & Ji, Shengjin & Diao, Qiangqiang, 2015. "On the tree with diameter 4 and maximal energy," Applied Mathematics and Computation, Elsevier, vol. 268(C), pages 364-374.
    • Handle: RePEc:eee:apmaco:v:268:y:2015:i:c:p:364-374
    DOI: 10.1016/j.amc.2015.06.060
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    Citations

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    Cited by:

    1. Bai, Yongqiang & Ma, Hongping, 2016. "Solutions to unsolved problems on the minimal energies of two classes of trees," Applied Mathematics and Computation, Elsevier, vol. 286(C), pages 49-56.
    2. Das, Kinkar Ch. & Mojallal, Seyed Ahmad & Gutman, Ivan, 2016. "On energy and Laplacian energy of bipartite graphs," Applied Mathematics and Computation, Elsevier, vol. 273(C), pages 759-766.
    3. Gersema, Gerke & Wozabal, David, 2017. "An equilibrium pricing model for wind power futures," Energy Economics, Elsevier, vol. 65(C), pages 64-74.
    4. Das, Kinkar Ch. & Mojallal, Seyed Ahmad, 2016. "Extremal Laplacian energy of threshold graphs," Applied Mathematics and Computation, Elsevier, vol. 273(C), pages 267-280.
    5. Li, Hong-Hai & Wu, Qian-Qian & Gutman, Ivan, 2016. "On ordering of complements of graphs with respect to matching numbers," Applied Mathematics and Computation, Elsevier, vol. 282(C), pages 167-174.
    6. Rodríguez, José M. & Sigarreta, José M., 2016. "Spectral properties of geometric–arithmetic index," Applied Mathematics and Computation, Elsevier, vol. 277(C), pages 142-153.
    7. Shin, Kong Joo & Managi, Shunsuke, 2017. "Liberalization of a retail electricity market: Consumer satisfaction and household switching behavior in Japan," Energy Policy, Elsevier, vol. 110(C), pages 675-685.

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