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The extremal values of some topological indices in bipartite graphs with a given matching number

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  • Chen, Hanlin
  • Wu, Renfang
  • Deng, Hanyuan

Abstract

Let I(G) be a topological index of a graph. If I(G+e)I(G), respectively) for each edge e∉G, then I(G) decreases (or increases, respectively) with addition of edges. In this paper, we determine the extremal values of some topological indices which decrease or increase with addition of edges, and characterize the corresponding extremal graphs in bipartite graphs with a given matching number.

Suggested Citation

  • Chen, Hanlin & Wu, Renfang & Deng, Hanyuan, 2016. "The extremal values of some topological indices in bipartite graphs with a given matching number," Applied Mathematics and Computation, Elsevier, vol. 280(C), pages 103-109.
    • Handle: RePEc:eee:apmaco:v:280:y:2016:i:c:p:103-109
    DOI: 10.1016/j.amc.2016.01.042
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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.
    2. Hanyuan Deng & Guihua Huang & Xiaojuan Jiang, 2015. "A unified linear-programming modeling of some topological indices," Journal of Combinatorial Optimization, Springer, vol. 30(3), pages 826-837, October.
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    Cited by:

    1. Wu, Renfang & Chen, Hanlin & Deng, Hanyuan, 2017. "On the monotonicity of topological indices and the connectivity of a graph," Applied Mathematics and Computation, Elsevier, vol. 298(C), pages 188-200.

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