Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource PHD PhD PhD Thesis Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Relation A related resource 61000285 Title A name given to the resource A Study on Domination in Signed Graphs Subject The topic of the resource Mathematics and Statistics Description An account of the resource Signed graphs, which represent the positive and negative interactions between networks, have gained signifcant attention in various felds, particularly social network analysis. Domination, a fundamental concept in graph theory, is important in understanding the structural characteristics of graphs and determining the minimum number of vertices needed to cover the entire graph. However, research on domination in the context of signed graphs has been limited, with most studies focusing on graphs. This thesis explores a variant of domination called restrained domination in signed graphs and investigates the characteristic properties of these signed graphs in relation to the restrained domination number. Throughout the thesis, we establish exact values and bounds for the restrained domination number in diferent classes of signed graphs. Additionally, we examine the restrained domination property in various derived signed graphs, including the line signed graph, semi-total point signed graph, semi-total line signed graph, and total signed graph. Additionally, we study criticality concepts associated with the restrained domination number in signed graphs. Specifcally, we analyze the efects of removing edges or vertices from signed graphs, as well as adding edges in signed graphs, on the restrained domination number. Further, we extend the concept of restrained domination number to encompass various variants, namely connected restrained domination number, restrained double domination number, and total restrained domination number for signed graphs. We derive relevant results and newlinefindings for these parameters, contributing to a deeper understanding of domination newlinein signed graphs. Creator An entity primarily responsible for making the resource Mathias, Anisha Jean Source A related resource from which the described resource is derived Author's Submission Publisher An entity responsible for making the resource available Christ(Deemed to be University) Date A point or period of time associated with an event in the lifecycle of the resource 2023-01-01 Contributor An entity responsible for making contributions to the resource Shathish, Sangeetha. Rights Information about rights held in and over the resource Open Access Format The file format, physical medium, or dimensions of the resource PDF Language A language of the resource English Type The nature or genre of the resource PhD Identifier An unambiguous reference to the resource within a given context <a href="http://hdl.handle.net/10603/545523" target="_blank" rel="noreferrer noopener">http://hdl.handle.net/10603/545523</a>