Enumeration of the Gutman and Schultz indices in the random polygonal chains

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.

Keywords

• gutman index
• schultz index
• random polygonal chains
• expected value
• extremal value
• average value