### More on energy and Randi´c energy of specific graphs

#### Abstract

Let G be a simple graph of order n. The energy E(G) of the graph G is the sum of the absolute

values of the eigenvalues of G. The Randi´c matrix of G, denoted by R(G), is defined as the

n×n matrix whose (i, j)-entry is (didj)

−1

2 if vi and vj are adjacent and 0 for another cases. The

Randi´c energy RE of G is the sum of absolute values of the eigenvalues of R(G). In this paper

we compute the energy and Randi´c energy for certain graphs. Also we propose a conjecture on

Randi´c energy.

values of the eigenvalues of G. The Randi´c matrix of G, denoted by R(G), is defined as the

n×n matrix whose (i, j)-entry is (didj)

−1

2 if vi and vj are adjacent and 0 for another cases. The

Randi´c energy RE of G is the sum of absolute values of the eigenvalues of R(G). In this paper

we compute the energy and Randi´c energy for certain graphs. Also we propose a conjecture on

Randi´c energy.

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