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Maximum Reciprocal Degree Resistance Distance Index of Bicyclic Graphs

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Listed:
  • Gaixiang Cai
  • Xing-Xing Li
  • Guidong Yu
  • Junwei Wang

Abstract

The reciprocal degree resistance distance index of a connected graph G is defined as RDRG=∑u,v⊆VGdGu+dGv/rGu,v, where rGu,v is the resistance distance between vertices u and v in G. Let ℬn denote the set of bicyclic graphs without common edges and with n vertices. We study the graph with the maximum reciprocal degree resistance distance index among all graphs in ℬn and characterize the corresponding extremal graph.

Suggested Citation

  • Gaixiang Cai & Xing-Xing Li & Guidong Yu & Junwei Wang, 2021. "Maximum Reciprocal Degree Resistance Distance Index of Bicyclic Graphs," Discrete Dynamics in Nature and Society, Hindawi, vol. 2021, pages 1-14, June.
    • Handle: RePEc:hin:jnddns:9998763
    DOI: 10.1155/2021/9998763
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