On the Randić Matrix and Randić Energy
Let [Formula: see text] be a graph with [Formula: see text] vertices, and let [Formula: see text] be the degree of the vertex [Formula: see text] in the graph [Formula: see text]. The Randić matrix of [Formula: see text] is the square matrix of order [Formula: see text] whose [Formula: see text]-entry is equal to [Formula: see text] if the vertex [Formula: see text] and the vertex [Formula: see text] of [Formula: see text] are adjacent, and [Formula: see text] otherwise. The Randić eigenvalues of [Formula: see text] are the eigenvalues of its Randić matrix and the Randić energy of [Formula: see text] is the sum of the absolute values of its Randić eigenvalues. In this paper, we obtain some new results for the Randić eigenvalues and the Randić energy of a graph.