Total Domination Number in Graphs and
Graph Modification

V.Anithakumari; M.Padmini

doi:https://doi.org/10.14445/22315373/IJMTT-V66I9P512

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 66 | Issue 9 | Year 2020 | Article Id. IJMTT-V66I9P512 | DOI : https://doi.org/10.14445/22315373/IJMTT-V66I9P512

Total Domination Number in Graphs and Graph Modification

V.Anithakumari, M.Padmini

Citation :

V.Anithakumari, M.Padmini, "Total Domination Number in Graphs and Graph Modification," International Journal of Mathematics Trends and Technology (IJMTT), vol. 66, no. 9, pp. 99-104, 2020. Crossref, https://doi.org/10.14445/22315373/IJMTT-V66I9P512

Abstract

The major purpose of this paper is to study the effect that various graph modifications have on the total domination number of a graph. In addition, we study the effect that the operation of edge lifting has on the domination number of a graph. We finish this work with a study of the total domination number of diameter two graphs and the relationship between the total domination number of a graph and its total destruction number.

Keywords

Dominating Graph, Stable Graphs, Edge Critical Graphs, Domination Number.

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