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 ?(k)-colouring of Some Wheel Related Graphs Subject The topic of the resource Bad edges; Improper colouring; Near proper colouring; ?(k)-colouring Description An account of the resource The question on how to colour a graph G when the number of available colours to colour G is less than that of the chromatic number ?(G), such that the resulting colouring gives a minimum number of edges whose end vertices have the same colour, has been a study of great interest. Such an edge whose end vertices receives the same colour is called a bad edge. In this paper, we use the concept of ?(k)-colouring, where 1 ? k ? ?(G) ? 1, which is a near proper colouring that permits a single colour class to have adjacency between the vertices in it and restricts every other colour class to be an independent set, to find the minimum number of bad edges obtained from the same for some wheel related graphs. The minimum number of bad edges obtained from ?(k)-colouring of any graph G is denoted by bk(G). 2024 the Author(s), licensee Combinatorial Press. Creator An entity primarily responsible for making the resource Ellumkalayil M.T.; Naduvath S.; Jose S. Source A related resource from which the described resource is derived Journal of Combinatorial Mathematics and Combinatorial Computing, Vol-122, pp. 91-105. Publisher An entity responsible for making the resource available Charles Babbage Research Centre Date A point or period of time associated with an event in the lifecycle of the resource 2024-01-01 Identifier An unambiguous reference to the resource within a given context <a href="https://doi.org/10.61091/jcmcc122-07" target="_blank" rel="noreferrer noopener">https://doi.org/10.61091/jcmcc122-07</a> <a href="https://www.scopus.com/inward/record.uri?eid=2-s2.0-85207430891&doi=10.61091%2Fjcmcc122-07&partnerID=40&md5=87433cc46b4399de272d0c4723f83f60" target="_blank" rel="noreferrer noopener">https://www.scopus.com/inward/record.uri?eid=2-s2.0-85207430891&doi=10.61091%2fjcmcc122-07&partnerID=40&md5=87433cc46b4399de272d0c4723f83f60</a> Rights Information about rights held in and over the resource All Open Access; Hybrid Gold Open Access Relation A related resource ISSN: 8353026 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 Ellumkalayil M.T., Department of Mathematics, Christ University, Bangalore, 560029, India; Naduvath S., Department of Mathematics, Christ University, Bangalore, 560029, India; Jose S., Department of Mathematics, Christ University, Bangalore, 560029, India