Total Roman Domination in Interval Graph With Adjacent Cliques of Size 3


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Authors

  • M. Reddappa Department of Mathematics, S. V. University, Tirupati, Andhra Pradesh, India
  • C. Jaya Subba Reddy Department of Mathematics, S. V. University, Tirupati, Andhra Pradesh, India
  • B. Maheswari Professor (Retd.), Department of Applied Mathematics, S. P. MahilaVisvavidyalayam, Tirupati, Andhra Pradesh, India

Keywords:

Total domination number, Total Roman dominating function, Total Roman domination number, Interval family, Interval graph

Abstract

Interval graphs have drawn the attention of many researchers for over 40 years. They form a special class of graphs with many interesting properties and revealed their practical relevance for modeling problems arising in the real world. The theory of domination in graphs introduced by O. Ore [10] and C. Berge [1] has been ever green of graph theory today. An introduction and an extensive overview on domination in graphs and related topics is surveyed and detailed in the two books by T.W. Haynes [12, 13]. In this paper a study of total domination and total Roman domination number of an Interval graph with adjacent cliques of size 3 is carried out.

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Published

15-12-2019

How to Cite

M. Reddappa, C. Jaya Subba Reddy, & B. Maheswari. (2019). Total Roman Domination in Interval Graph With Adjacent Cliques of Size 3. International Journal of Mathematics And Its Applications, 7(4), 111–121. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/212

Issue

Vol. 7 No. 4 (2019)

Section

Research Article

License

Creative Commons License

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