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 Rainbow degree-jump coloring of graphs Subject The topic of the resource Blind vertex; Moore bound; Mphako graph; Rainbow degree-jump chromatic number; rainbow degree-jump coloring Description An account of the resource In this paper, we introduce a new notion called the rainbow degree-jump coloring of a graph. For a vertex v ? V(G), let the degree-jump closed neighbourhood of this vertex be defined as Ndeg [v] = {u: d(v, u) ? d(v)}. A proper coloring of a graph G is said to be a rainbow degree-jump coloring of G if for all v in V(G), c(Ndeg [v]) contains at least one of each color class. We determine a necessary and sufficient condition for a graph G to permit a rainbow degree-jump coloring. We also determine the rainbow degree-jump chromatic number, denoted by ?rdj (G), for certain classes of cycle related graphs. Mphako-Banda E.G., Kok J., Naduvath S., 2021. Creator An entity primarily responsible for making the resource Mphako-Banda E.G.; Kok J.; Naduvath S. Source A related resource from which the described resource is derived Carpathian Mathematical Publications, Vol-13, No. 1, pp. 229-239. Publisher An entity responsible for making the resource available Precarpathian National 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/10.15330/cmp.13.1.229-239" target="_blank" rel="noreferrer noopener">https://doi.org/10.15330/cmp.13.1.229-239</a> <br /><br /><a href="https://www.scopus.com/inward/record.uri?eid=2-s2.0-85110411262&amp;doi=10.15330%2Fcmp.13.1.229-239&amp;partnerID=40&amp;md5=661156f3efb31ca07a3ac70baf69a1df" target="_blank" rel="noreferrer noopener">https://www.scopus.com/inward/record.uri?eid=2-s2.0-85110411262&amp;doi=10.15330%2fcmp.13.1.229-239&amp;partnerID=40&amp;md5=661156f3efb31ca07a3ac70baf69a1df</a> Rights Information about rights held in and over the resource All Open Access; Gold Open Access Relation A related resource ISSN: 20759827 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 Mphako-Banda E.G., School of Mathematical Sciences, University of Witswatersrand, Johannesburg, South Africa; Kok J., Department of Mathematics, CHRIST (Deemed to be University), Bangalore, Karnataka, India; Naduvath S., Department of Mathematics, CHRIST (Deemed to be University), Bangalore, Karnataka, India