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LINE GRAPH ASSOCIATED WITH C-PRIME GRAPH OF A NEARRING

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In this paper we introduce a line graph of c-prime graph of a near- ring N with respect to an ideal I denoted by L(CI (N)): We nd properties of this graph. We nd diameter, girth and obtain conditions for L(CI (N)) is a complete graph. We nd interrelation between L(GI (N)), L(CI (N)): We prove that near- ring homomorphism between two nearrings is a graph homomorphism between corresponding c-prime line graphs.

Abstract

In this paper we introduce a line graph of c-prime graph of a near- ring N with respect to an ideal I denoted by L(CI (N)): We nd properties of this graph. We nd diameter, girth and obtain conditions for L(CI (N)) is a complete graph. We nd interrelation between L(GI (N)), L(CI (N)): We prove that near- ring homomorphism between two nearrings is a graph homomorphism between corresponding c-prime line graphs.

참고문헌 (17)

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