Inverse Domination of Some Special Graphs

M. Hoorulayeen; Dr. K. Ameenal Bibi; T. Aswini

doi:https://doi.org/10.14445/22315373/IJMTT-V66I3P511

International Journal of Mathematics Trends and Technology

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Volume 66 | Issue 3 | Year 2020 | Article Id. IJMTT-V66I3P511 | DOI : https://doi.org/10.14445/22315373/IJMTT-V66I3P511

Inverse Domination of Some Special Graphs

M. Hoorulayeen, Dr. K. Ameenal Bibi, T. Aswini

Abstract

Let G = (V,E) be a simple, finite, undirected and connected graph. A non-empty subset D V is a dominating set of G if every vertex in V-D is adjacent to atleast one vertex in D. The domination number is the minimum cardinality taken over all the minimal dominating sets of G. Let D be the minimum dominating set of G. If V-D contains a dominating set of G, then is an inverse dominating set with respect to D. The inverse domination number is the minimum cardinality of a minimal inverse dominating set of G. In this paper, the values of is obtained for some special graphs.

Keywords

Dominating set, Inverse dominating set, Domination number, Inverse domination number.

References

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Citation :

M. Hoorulayeen, Dr. K. Ameenal Bibi, T. Aswini, "Inverse Domination of Some Special Graphs," International Journal of Mathematics Trends and Technology (IJMTT), vol. 66, no. 3, pp. 77-81, 2020. Crossref, https://doi.org/10.14445/22315373/IJMTT-V66I3P511