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 61000301 Title A name given to the resource A Study on Some Eccentricity Related Problems in Graphs Subject The topic of the resource Mathematics and Statistics Description An account of the resource The concepts related to eccentricity in graphs are explored in this research work. newlineThe eccentric graph Ge of a graph G has the same vertex set as that of G and two newlinevertices in Ge are adjacent if one is the eccentric vertex of the other. The eccentric newlinegraphs of some graph operations are explored, and the iterated eccentric graphs Gek newlineare introduced. The process of inding eccentric graphs, known as eccentrication, is newlinestudied in detail. Graphs that result in a complete graph Kn upon iterative eccentrication are characterized, and the cyclic property of eccentrication is established for various cycle-related graphs. The eccentrication of tree graphs is studied in detail, and a general result on the cyclic property of trees is obtained. A conjecture on the cyclic property of eccentrication for any graph G is made. The ei-signed graph of a graph G, where the edge between vertices u and v receives a sign and#963; = (and#8722;1)|ecc(u)and#8722;ecc(v)|, where ecc(u) is the eccentricity of vertex u, is investigated. General properties of ei-signed graphs, such as homogeneity, consistency, switching, and sign compatibility, are discussed. Properties that behave diferently across various classes of graphs are explored. Finally, the scope of this study is presented, and some open problems in the area are provided. Creator An entity primarily responsible for making the resource Rohith, Raja M 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 2024-01-01 Contributor An entity responsible for making contributions to the resource Rajashekar, Paradesi Tabitha 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/10603/545539" target="_blank" rel="noreferrer noopener">http://hdl.handle.net/10603/545539</a>