1Assistant Professor, Department of Mathematics, S. V. University, Tirupati-517502
2Research Scholar, Department of Mathematics, S. V. University, Tirupati-517502
3Professor (Retd.), Department of Applied Mathematics, S. P. Mahila Visvavidyalayam, Tirupati-517502
Online published on 4 January, 2021.
The theory of Graphs is an important branch of Mathematics that was developed exponentially. The theory of domination in graphs is rapidly growing area of research in graph theory today. It has been studied extensively and finds applications to various branches of Science & Technology. 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 Ore [11] and Berge [3] is a fast growing area of research in 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 Haynes et.al. [7, 8]. In this paper a study of signed Roman domination in an interval graph with adjacent cliques of size 3 is carried out.
Signed Roman dominating function, Signed Roman domination number, Interval family, Interval graph