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Title

SECURE DOMINATION IN DIGRAPHS

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Abstract

 GIVEN A GRAPH G= (V, E), A SET S ÍV IS DOMINATING IF FOR EVERY UÎV \ S THERE EXISTS UÎS SUCH THAT UV Î E: ADOMINATING SET S ÍV IS SECURE IF FOR EVERY V 2 V N S THERE EXISTS UÎS SUCH THAT (FORMULA) IS DOMINATING. IN THIS WORK WE EXTEND THE CONCEPT OF SECURE DOMINATING SET TO DIGRAPHS IN THREE DIFFERENT WAYS, ALL OF THEM WITH INTERESTING APPLICATIONS, AND PROVE SOME RESULTS REGARDING EACH OF THEM.

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