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The statistical analysis for Sombor indices in a randompolygonal chain networks
  • Jia-bao Liu,
  • Ya-Qian Zheng,
  • Xin-Bei Peng
Jia-bao Liu
Anhui Jianzhu University
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Ya-Qian Zheng
Anhui Jianzhu University
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Xin-Bei Peng
Anhui Jianzhu University
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Abstract

The Sombor indices, a new category of degree-based topological molecular descriptors, havebeen widely investigated due to their excellent chemical applicability. This paper aims to establishSombor indices distributions in random polygonal chain networks and to achieve expressions of theexpected values and variances. The expected values and variances of the Sombor indices for polyonino,pentachain, polyphenyl, and cyclooctane chains are obtained. Since the end connection of a randomchain network follows a binomial distribution, the Sombor indices of any chain network follow the normaldistribution when the number of polygons connected by the chain, indicated by n, approaches infinity.
06 Aug 2022Submitted to International Journal of Quantum Chemistry
11 Aug 2022Submission Checks Completed
11 Aug 2022Assigned to Editor
11 Aug 2022Reviewer(s) Assigned
11 Aug 2022Review(s) Completed, Editorial Evaluation Pending
11 Aug 2022Editorial Decision: Revise Minor
18 Aug 20221st Revision Received
19 Aug 2022Submission Checks Completed
19 Aug 2022Assigned to Editor
19 Aug 2022Reviewer(s) Assigned