Inverse Domination Parameters of Jump Graph

Authors

  • S Santha Department of Mathematics, Government Arts and Science, Konam, Nagercoil-629004, Kanyakumari Dt, Tamil Nadu, India
  • G.T Krishna Veni Research Dept. of Mathematics, Rani Anna Govt. College for Women, Tirunelveli-8, Affiliated to Manonmaniam Sundaranar University, Abishekapatti, Tirunelveli-627012, Tamil Nadu, India

DOI:

https://doi.org/10.23755/rm.v45i0.1001

Keywords:

dominating set, labeling, digraphs, di-cyclic, di-Quadrilateral, di-Pentagonal, snake.

Abstract

Let G=(V,E)\ be a connected graph. Let D be a minimum dominating set in G.\ If V-D contains a dominating set D^\prime of G, then D^\prime is called an inverse dominating set with respect to D. Theminimum cardinality of an inverse dominating set of G is called inverse domination number of G. In this article, we determine inverse domination parameters of jump graph of a graph.

References

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Published

2023-01-30

Issue

Vol. 45 (2023): Special Issue: Advances in Applied and Intellectual Mathematics

Section

Volume 44-2022

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