Journal Name:
- European Journal of Pure and Applied Mathematics
| Author Name | University of Author | Faculty of Author |
|---|---|---|
Abstract (2. Language):
Let G be a simple connected graph with n vertices and let di be the degree of its i-th vertex.
The Randi´c matrix of G is the square matrix of order n whose
!
i, j
"
-entry is equal to 1/
#
didj if the
i-th and j-th vertex of G are adjacent, and zero otherwise. The Randi´c eigenvalues are the eigenvalues
of the Randi´c matrix. The Randi´c energy is the sum of the absolute values of the Randi´c eigenvalues.
In this paper, we introduce a new index of the graph G which is called Randi´c Estrada index. In
addition, we obtain lower and upper bounds for the Randi´c energy and the Randi´c Estrada index of G.
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