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The Entropy of Weighted Graphs with Atomic Bond Connectivity Edge Weights

Author

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  • Young Chel Kwun
  • Hafiz Mutee ur Rehman
  • Muhammad Yousaf
  • Waqas Nazeer
  • Shin Min Kang

Abstract

The aim of this report to solve the open problem suggested by Chen et al . We study the graph entropy with ABC edge weights and present bounds of it for connected graphs, regular graphs, complete bipartite graphs, chemical graphs, tree, unicyclic graphs, and star graphs. Moreover, we compute the graph entropy for some families of dendrimers.

Suggested Citation

  • Young Chel Kwun & Hafiz Mutee ur Rehman & Muhammad Yousaf & Waqas Nazeer & Shin Min Kang, 2018. "The Entropy of Weighted Graphs with Atomic Bond Connectivity Edge Weights," Discrete Dynamics in Nature and Society, Hindawi, vol. 2018, pages 1-10, December.
    • Handle: RePEc:hin:jnddns:8407032
    DOI: 10.1155/2018/8407032
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    Cited by:

    1. Wei, Yupeng & Wu, Dazhong, 2023. "Prediction of state of health and remaining useful life of lithium-ion battery using graph convolutional network with dual attention mechanisms," Reliability Engineering and System Safety, Elsevier, vol. 230(C).

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