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 Generalisation of the rainbow neighbourhood number and k-jump colouring of a graph Subject The topic of the resource K-jump colouring; K-rainbow neighbourhood; K-rainbow neighbourhood number Description An account of the resource In this paper, the notions of rainbow neighbourhood and rainbow neigh-bourhood number of a graph are generalised and further to these general-isations, the notion of a proper k-jump colouring of a graph is also intro-duced. The generalisations follow from the understanding that a closed k-neighbourhood of a vertex v ? V (G) denoted, Nk [v] is the set, Nk [v] = {u: d(v, u) ? k, k ? N and k ? diam(G)}. If the closed k-neighbourhood Nk [v] contains at least one of each colour of the chromatic colour set, we say that v yields a k-rainbow neighbourhood. 2020, Eszterhazy Karoly College. All rights reserved. Creator An entity primarily responsible for making the resource Kok J.; Naduvath S.; Mphako-Banda E.G. Source A related resource from which the described resource is derived Annales Mathematicae et Informaticae, Vol-52, pp. 147-158. Publisher An entity responsible for making the resource available Eszterhazy Karoly College Date A point or period of time associated with an event in the lifecycle of the resource 2020-01-01 Identifier An unambiguous reference to the resource within a given context <a href="https://doi.org/10.33039/ami.2020.02.003" target="_blank" rel="noreferrer noopener">https://doi.org/10.33039/ami.2020.02.003</a> <br /><br /><a href="https://www.scopus.com/inward/record.uri?eid=2-s2.0-85098058964&amp;doi=10.33039%2Fami.2020.02.003&amp;partnerID=40&amp;md5=84caf7b2ea843511b4df4048626bdf23" target="_blank" rel="noreferrer noopener">https://www.scopus.com/inward/record.uri?eid=2-s2.0-85098058964&amp;doi=10.33039%2fami.2020.02.003&amp;partnerID=40&amp;md5=84caf7b2ea843511b4df4048626bdf23</a> Rights Information about rights held in and over the resource All Open Access; Gold Open Access; Green Open Access Relation A related resource ISSN: 17875021 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 Kok J., Department of Mathematics, CHRIST (Deemed to be University), Bangalore, 560029, India; Naduvath S., Department of Mathematics, CHRIST (Deemed to be University), Bangalore, 560029, India; Mphako-Banda E.G., School of Mathematical Sciences, University of Witswatersrand Johannesburg, South Africa