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In 1, Hamzeh, Iranmanesh and Hossein-Zadeh and M. V. Diudea recentlyintroduced the generalized degree distance of graphs. In this paper, wepresent explicit formulas for this new graph invariant of the Cartesian product,composition, join, disjunction and symmetric difference of graphs and introducegeneralized and modified generalized degree distance polynomials of graphs,such that their first derivatives at x = 1 arerespectively, equal to the generalized degree distance and the modifiedgeneralized degree distance. These polynomials are related to Wiener-type invariant polynomial of graphs.

KEYWORDS

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

Cite this paper

A. Hamzeh, A. Iranmanesh and S. Hossein-Zadeh -Some Results on Generalized Degree Distance,- Open Journal of Discrete Mathematics, Vol. 3 No. 3, 2013, pp. 143-150. doi: 10.4236-ojdm.2013.33026.





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

Source: http://www.scirp.org/



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