Randić Energy of Some Graphs

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.