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Computation on the difference of Zagreb indices of maximal planar graphs with diameter two

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  • Wang, Yiqiao
  • Zheng, Lina

Abstract

The first and second Zagreb indices of a graph G are defined asM1(G)=∑u∈V(G)(d(u))2,M2(G)=∑uv∈E(G)d(u)d(v),where d(x) denotes the degree of a vertex x in G. The difference of Zagreb indices of the graph G is defined asΔM(G)=M2(G)−M1(G).

Suggested Citation

  • Wang, Yiqiao & Zheng, Lina, 2020. "Computation on the difference of Zagreb indices of maximal planar graphs with diameter two," Applied Mathematics and Computation, Elsevier, vol. 377(C).
    • Handle: RePEc:eee:apmaco:v:377:y:2020:i:c:s0096300320301569
    DOI: 10.1016/j.amc.2020.125187
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    References listed on IDEAS

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    1. Huang, Danjun & Wang, Yiqiao & Lv, Jing & Yang, Yanping & Wang, Weifan, 2019. "List coloring and diagonal coloring for plane graphs of diameter two," Applied Mathematics and Computation, Elsevier, vol. 363(C), pages 1-1.
    2. Borovićanin, Bojana & Furtula, Boris, 2016. "On extremal Zagreb indices of trees with given domination number," Applied Mathematics and Computation, Elsevier, vol. 279(C), pages 208-218.
    3. Shuchao Li & Licheng Zhang & Minjie Zhang, 2019. "On the extremal cacti of given parameters with respect to the difference of zagreb indices," Journal of Combinatorial Optimization, Springer, vol. 38(2), pages 421-442, August.
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    Cited by:

    1. Shu-Yu Cui & Yiqiao Wang & Danjun Huang & Hongwei Du & Weifan Wang, 2022. "Structure and pancyclicity of maximal planar graphs with diameter two," Journal of Combinatorial Optimization, Springer, vol. 43(1), pages 1-27, January.

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