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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
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.
References

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[11] Nader Jefari Rad et al (2012), On Alpha total domination in graph, Discrete Applied Mathematics, Vol:10,Issue:7,pp:1143-1151.
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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

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