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Some New Bounds of Weighted Graph Entropies with GA and Gaurava Indices Edge Weights

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  • Tiejun Wu
  • Hafiz Mutee Ur Rehman
  • Yu-Ming Chu
  • Deeba Afzal
  • Jianfeng Yu

Abstract

Motivated by the concept of Shannon’s entropy, the degree-dependent weighted graph entropy was defined which is now become a tool for measurement of structural information of complex graph networks. The aim of this paper is to study weighted graph entropy. We used and Gaurava indices as edge weights to define weighted graph entropy and establish some bounds for different families of graphs. Moreover, we compute the defined weighted entropies for molecular graphs of some dendrimer structures.

Suggested Citation

  • Tiejun Wu & Hafiz Mutee Ur Rehman & Yu-Ming Chu & Deeba Afzal & Jianfeng Yu, 2020. "Some New Bounds of Weighted Graph Entropies with GA and Gaurava Indices Edge Weights," Mathematical Problems in Engineering, Hindawi, vol. 2020, pages 1-9, September.
    • Handle: RePEc:hin:jnlmpe:5474501
    DOI: 10.1155/2020/5474501
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