Randic Matrix and Randic Energy
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Dosyalar
Tarih
2010
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Univ Kragujevac, Fac Science
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
If G is a graph on n vertices, and d(i) is the degree of its i-th vertex, then the Randic matrix of G is the square matrix of order n whose (i, j)-entry is equal to 1/root d(i) d(j) di 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 Randic index, the Randic matrix seems to have not been much studied in mathematical chemistry. In this paper we define the Randic energy as the sum of the absolute values of the eigenvalues of the Randic matrix, and establish mine of its properties, in particular lower and upper bounds for it.
Açıklama
Anahtar Kelimeler
Kaynak
Match-Communications in Mathematical and in Computer Chemistry
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
64
Sayı
Künye
Bozkurt, Ş. B., Güngör, A. D., Gutman, I., Çevik, A. S., (2010). Randic Matrix and Randic Energy. Match-Communications in Mathematical and in Computer Chemistry, (64), 239-250.
