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 Articles Article Faculty Publications -Articles 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 THE GENERALIZED COMPLEMENT OF SOME GRAPHS Subject The topic of the resource comb graph; complement of graph; partition; twin prime Description An account of the resource In this paper we study the generalized complement of the graph Gm,n = (V, E) for some values of m, n. We study the generalized complement of Gm,n graphs with respect to the equal degree partition. The 2?complement of Gm,n graphs are also determined for m = 2, n is even or odd. In particular, for some values of m, n ? N, we studied the complement of Gm,n graphs with respect to the equal degree partition and the 2?complement of Gm,n graphs. We determine the partitions Pk, k ? N of the vertex set V such that the generalized complement of Gm,n graph is a path graph and a comb graph. 2021, Asia Pacific Academic. All rights reserved. Creator An entity primarily responsible for making the resource Chakrabarty I.; Acharya M.; Kureethara J.V. Source A related resource from which the described resource is derived Asia Pacific Journal of Mathematics, Vol-8 Publisher An entity responsible for making the resource available Asia Pacific Academic Date A point or period of time associated with an event in the lifecycle of the resource 2021-01-01 Identifier An unambiguous reference to the resource within a given context <a href="https://doi.org/10.28924/APJM/8-22" target="_blank" rel="noreferrer noopener">https://doi.org/10.28924/APJM/8-22</a> <br /><br /><a href="https://www.scopus.com/inward/record.uri?eid=2-s2.0-85127783608&amp;doi=10.28924%2FAPJM%2F8-22&amp;partnerID=40&amp;md5=7950d3b274fcd502d0dee821c75323eb" target="_blank" rel="noreferrer noopener">https://www.scopus.com/inward/record.uri?eid=2-s2.0-85127783608&amp;doi=10.28924%2fAPJM%2f8-22&amp;partnerID=40&amp;md5=7950d3b274fcd502d0dee821c75323eb</a> Rights Information about rights held in and over the resource All Open Access; Gold Open Access Relation A related resource ISSN: 23572205 Format The file format, physical medium, or dimensions of the resource Online Language A language of the resource English Type The nature or genre of the resource Article Coverage The spatial or temporal topic of the resource, the spatial applicability of the resource, or the jurisdiction under which the resource is relevant Chakrabarty I., Department of Mathematics, Christ University, India; Acharya M., Department of Mathematics, Christ University, India; Kureethara J.V., Department of Mathematics, Christ University, India