Regular Restrained Domination In GRAPH

Authors

  • M.H. Muddebihal Departmentl ofl Mathematics,l Gulbargal University,l Kalaburgi-585106.
  • Faimidal Begum Researchl scholar,l Departmentl ofl Mathematicsl Gulbargal University,l Kalaburgi-585106.

DOI:

https://doi.org/10.53555/jaz.v44iS3.837

Keywords:

Graph,l Dominationl number,l Restrainedl dominationl number,l Regularl Restrainedl dominationl number.

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.

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Published

2023-10-13

Issue

Vol. 44 No. S3 (2023)

Section

Articles

License

Copyright (c) 2023 M.H. Muddebihal, Faimidal Begum

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

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