Kurumun Atıf Alan Makalesi
Atıf Alan Yayın
Randic matrix and randić energy
Scopus
Toplam 156 atıf
If G is a graph on n vertices, and di, is the degree of its i-th vertex, then the Randiá matrix of G is the square matrix of order n whose (i, j)-entry is equal to √didi if the i-th and j-th vertex of G are adjacent, and zero otherwise. This matrix in a natural way occurs within Laplacian spectral theory, and provides the non-trivial part of the so-called normalized Laplacian matrix. In spite of its obvious relation to the famous Randić index, the Randić matrix seems to have not been much studied in mathematical chemistry. In this paper we define the Randić energy as the sum of the absolute values of the eigenvalues of the Randić matrix, and establish some of its properties, in particular lower and upper bounds for it.
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Atıf Yapan Yayın
ON NORMALIZED SIGNLESS LAPLACIAN RESOLVENT ENERGY
Scopus
Havuzumuzda Open Access 3 atıf almış
Let G be a simple connected graph with n vertices. Denote by (Formula presented) the normalized signless Laplacian matrix of graph G, where Q (G) and D (G) are the signless Laplacian and diagonal degree matrices of G, respectively. The eigenvalues of matrix (Formula presented), are normalized signless Laplacian eigenvalues of G. In this paper, we introduce the normalized signless Laplacian resolvent energy of G as (Formula presented). We also obtain some lower and upper bounds for ERNS (G) as well as its relationships with other energies and signless Kemeny’s constant.
Atıf Yapan Makale Bilgileri
Kurumlar (2)
Selcuklu Medical School
Konya, Turkey
University of Niš
Nis, Serbia