Weakly Completely Prime Graph

Abstract

In this paper, we presented a new properties of a weakly completely prime graph, where we added the algebraic properties in this graph and extracted from them some important theories and results, with the study of homomorphism in this graph when homomorphism is available in near rings, as well as the definition of homomorphism preserve vertex cover, with the proving of a number of theorems and supported relationships with examples.

Keywords

• weakly c-prime ideal, subtractive ideal, nilpotent, vertex cover, preserve vertex cover, homomorphism of graphs