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 /delta^(k)-colouring of Powers of Paths and Cycles Subject The topic of the resource Badedges; Impropercolouring; Near-propercolouring; ?(k)-colouring Description An account of the resource In animpropervertexcolouringofagraph,adjacentverticesarepermittedto receivesamecolours.Anedgeofanimproperlycolouredgraphissaidtobeabad edge ifitsendverticeshavethesamecolour.Anear-propercolouringofagraphis a colouringwhichminimisesthenumberofbadedgesbyrestrictingthenumberof colour classes that can have adjacency among their own elements. The ?(k)- colouring is anear-propercolouringof G consisting of k givencolours,where1 ? k ? ?(G) ? 1, whichminimisesthenumberofbadedgesbypermittingatmostonecolourclassto have adjacency among the vertices in it. In this paper,we discuss the number of bad edges ofpowers of paths and cycles. Published by Digital Commons@Georgia Southern, 2021. 2021 Georgia Southern University. All rights reserved. Creator An entity primarily responsible for making the resource Ms M.T.E.; Naduvath S. Source A related resource from which the described resource is derived Theory and Applications of Graphs, Vol-8, No. 2 Publisher An entity responsible for making the resource available Georgia Southern University 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/10.20429/TAG.2021.080203" target="_blank" rel="noreferrer noopener">https://doi.org/10.20429/TAG.2021.080203</a> <br /><br /><a href="https://www.scopus.com/inward/record.uri?eid=2-s2.0-85104285126&amp;doi=10.20429%2FTAG.2021.080203&amp;partnerID=40&amp;md5=a0190d9a3a44b905861f3136c0c0e820" target="_blank" rel="noreferrer noopener">https://www.scopus.com/inward/record.uri?eid=2-s2.0-85104285126&amp;doi=10.20429%2fTAG.2021.080203&amp;partnerID=40&amp;md5=a0190d9a3a44b905861f3136c0c0e820</a> Rights Information about rights held in and over the resource All Open Access; Gold Open Access Relation A related resource ISSN: 24709859 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 Ms M.T.E., Christ University, Bangalore, India; Naduvath S., Christ University, Bangalore, India