Abstract

A graph is provided with a specific degree of vertices. The Randic matrix of the graph is provided as a matrix of specific ratio whose entries are given by a specific equation. The energy of the graph includes the sum of absolute values of a set of eigen values of the Randic matrix. This chapter explores the concept of m-shadow, extended m-splitting, double cover, and extended double cover of the graph. The adjacency matrix of the graph is a symmetric matrix of order of a specific number. A set of eigen values of the symmetric matrix of order of the specific number is a real number with their sum zero. The concept of Randic energy is one of the concepts which is a frontier between graph theory and chemistry. The chapter investigates the Randic energy of larger graphs obtained from standard graphs by means of various graph operations.

Full Text
Published version (Free)

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call