Article citationsMore>>

I. Tomescu, “Some Extremal Properties of the Degree Distance of a Graph,” Discrete Applied Mathematics, Vol. 98, No. 1-2, 1999, pp. 159-163. doi:10.1016/S0166-218X(99)00117-1

has been cited by the following article:

• TITLE: Some Results on Generalized Degree Distance

  AUTHORS: Asma Hamzeh, Ali Iranmanesh, Samaneh Hossein-Zadeh

  KEYWORDS: Generalized Degree Distance; Cartesian Product; Join; Symmetric Difference; Composition; Disjunction

  JOURNAL NAME: Open Journal of Discrete Mathematics, Vol.3 No.3, July 12, 2013

  ABSTRACT: In [1], Hamzeh, Iranmanesh and Hossein-Zadeh and M. V. Diudea recently introduced the generalized degree distance of graphs. In this paper, we present explicit formulas for this new graph invariant of the Cartesian product, composition, join, disjunction and symmetric difference of graphs and introduce generalized and modified generalized degree distance polynomials of graphs, such that their first derivatives at x = 1 are respectively, equal to the generalized degree distance and the modified generalized degree distance. These polynomials are related to Wiener-type invariant polynomial of graphs.