Document Type
Lecture
Publication Date
4-9-2026
Abstract
The exact formulae for the variances of the Gutman index and the Schultz index of a random (2k + 1)-polygonal chain is obtained in this paper. We also show that these two indices of a random (2k + 1)- polygonal chain obey normal distributions asymptotically. We expanded on several previously published findings. We apply the unified formulae to get the limiting behaviors of the Gutman index and the Schultz index of a specific random polygonal chain, which have been extensively explored in statistical physics and organic chemistry.
Relational Format
presentation
Recommended Citation
Wang, Shaohui, "The limiting behaviors for the Gutman index and the Schultz index in a random (2k + 1)-polygonal chain" (2026). Combinatorics Seminar. 130.
https://egrove.olemiss.edu/math_combinatorics/130
Accessibility Status
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