https://archives.christuniversity.in/files/original/3c2308da4e840f1072b3cf860d0a07d6.pdf 4268742c368a3552fdf7de41886f8568 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 MPHIL Mphil Mphil 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/. Title A name given to the resource A Study on Measures of Central Tendency of Some Distance Parameters of Connected Graphs Creator An entity primarily responsible for making the resource Puthussery, Antony Date A point or period of time associated with an event in the lifecycle of the resource 2013 Source A related resource from which the described resource is derived Mathematics Description An account of the resource This dissertation sets out to examine the implications of various mea- sures of central tendencies of graphs by introducing the unique concept of ?graphs. A ?graph is defined as a simple, finite, connected and undirected graph in which the basic centrality measures: mean, median and mode of eccentricities are equal. It takes a formal approach to the exploration of ?graphs by applying the principles of Graph Theory. Various graphs are looked into to compare the centrality measures, and the possibility of those being ?graphs. Earlier graph theoretical research in notions of centrality, distance and eccentricity are reviewed. It describes the development of a new elicitation tool that examines the effect of measures of central tenden- cies in graphs, by analyzing their eccentricity sequences. Using this new ap- proach the central values of certain graphs are obtained. The concept found would be helpful to develop a more complex interpretation of the notion of centrality measures in graph theory. Keywords: Eccentricity; Eccentricity sequence; Distance; Degree; Cen- trality; Mean; Mode; Median; ?graph; Central value