Eccentric and Leap Eccentric Connectivity Indices of Some Mycielski Graphs

Abstract

Abstract. In graph theory, topological indices are frequently studied parameters both theoretically and in terms of applications. Two sig- nificant indices among these are the eccentric connectivity index and the leap eccentric connectivity index. The eccentric connectivity index value is calculated as the sum of the products of the eccentricity and de- gree values of the vertices. The leap eccentric connectivity index value is the sum of the products of the eccentricity value of the vertices and their second-degree values. The second-degree value of a vertex is the number of vertices at a distance of two from it. In this study, we ex- amined the Mycielski Graph structure, which structurally resembles the form of chemical molecules. We obtained results for the eccentric and leap eccentric connectivity indices of some special Mycielski Graphs.