Regular Restrained Domination In GRAPH

Abstract

Thel researchl ofl thel standardl dominationl variation,l particularlyl regularl restrainedl dominationl (RRD),l isl examinedl inl thel currentl paper.l Assumel thatl G=(V,E)l isl al graph.l Ifl thel inducedl subgraphl 〈F〉isl regular,l thel setl F⊆V(G)l isl al regularl restrainedl dominatingl set.l Thel minimuml cardinalityl ofl thel regularl restrainedl dominatingl (RRD)l setl ofl al graphl Gl isl designatedl byl thel notationl (G).l Wel investigatedl variousl RRDl featuresl andl establishedl al relationshipl withl otherl dominationl factors.