The Merrifield-Simmons index of two classes of lexicographic product graphs of corona graphs

Abstract

The Merrifield-Simmons index of a graph is defined as the total number of the independent sets of the graph. This paper mainly discussed the Merrifield- Simmons index of two classes of lexicographic product graphs of Corona graphs P(m)n [H] and C(m)n[H], with the specific expressions are given.