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Author Country (or Countries)

Yemen

Abstract

Inspired by the definition of integrity and the alternative formulations for integrity, we investigate the D−Integrity and E−Integrity numbers of a graph in the present study. The D-Integrity number of a graph G is denoted by DIk(G) defined as: DIk(G) = ∑ p Dk (G), and the E -Integrity number of a graph G, is denoted by E Il (G) defined as: E Il (G) = ∑ p El (G). In this paper, we establish k=1 l=0 the general formulas for the D−Integrity and E−Integrity numbers of some classes of graphs. Also, some properties of D−Integrity and E−Integrity numbers are established.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/140312

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