https://archives.christuniversity.in/files/original/11ebe00e603184108aecc0c5c1231577.pdf acb17f06eac985bc4757a78ae9b82a88 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 On Specific Properties Common to a Graph and its Complement Creator An entity primarily responsible for making the resource Alex James Date A point or period of time associated with an event in the lifecycle of the resource 2012 Source A related resource from which the described resource is derived Mathematics Description An account of the resource In this dissertation we study some specific properties common to a graph and its complement. Here we compare the independence number of a graph with the chromatic number of its complement and find some relation between these properties for cycle, path, wheel, Berge graph, star and for some other graphs. We also find the relation between the independence number of a graph and its complement with its order.