Zhu W, Fang M, Geng X. Enumeration of the Gutman and Schultz indices in the random polygonal chains.
MATHEMATICAL BIOSCIENCES AND ENGINEERING : MBE 2022;
19:10826-10845. [PMID:
36124571 DOI:
10.3934/mbe.2022506]
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Abstract
The Gutman index and Schultz index of a connected graph are degree-distance-based topological indices. In this paper, we devoted to establish the explicit analytical expressions for the simple formulae of the expected values of the Gutman and Schultz indices in a random polygonal. Based on these results above, we get the extremal values and average values of Gunman and Schultz indices of all polygonal chains.
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