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 VERTEX INDUCED k-EDGE COLORING AND VERTEX INCIDENT k-EDGE COLORING OF GRAPHS Subject The topic of the resource vertex incident 2-edge coloring number; vertex incident k-edge coloring number; vertex induced 2-edge coloring number; vertex induced k-edge coloring number Description An account of the resource Let k ? 2 be a natural number. Then the vertex induced k-edge coloring number ? vik(G) of a simple connected graph G = (V,E) is the highest number of colors needed to color the edges of a graph G such that the edges of the subgraph induced by the closed neighborhood N[v] of the vertex v ? V (G) receives not more than k colors. The vertex incident k-edge coloring number ? vink(G) of a simple connected graph G = (V,E) is the highest number of colors required to color the edges of a graph G such that the edges incident to a vertex v in graph G receives not more than k colors. In this paper, we initiate the study on ? vik(G) and ? vink(G). We also determine the exact values of ? vik(G) and ? vink(G) for k = 2 for some special graphs. 2023 Yarmouk University. All rights reserved. Creator An entity primarily responsible for making the resource Joseph A.; Dominic C. Source A related resource from which the described resource is derived Jordan Journal of Mathematics and Statistics, Vol-16, No. 2, pp. 187-202. Publisher An entity responsible for making the resource available Yarmouk University Date A point or period of time associated with an event in the lifecycle of the resource 2023-01-01 Identifier An unambiguous reference to the resource within a given context <a href="https://doi.org/10.47013/16.2.1" target="_blank" rel="noreferrer noopener">https://doi.org/10.47013/16.2.1</a> <br /><br /><a href="https://www.scopus.com/inward/record.uri?eid=2-s2.0-85170845794&amp;doi=10.47013%2F16.2.1&amp;partnerID=40&amp;md5=761abc4e3e8e72d8fdf26940dcbde5b3" target="_blank" rel="noreferrer noopener">https://www.scopus.com/inward/record.uri?eid=2-s2.0-85170845794&amp;doi=10.47013%2f16.2.1&amp;partnerID=40&amp;md5=761abc4e3e8e72d8fdf26940dcbde5b3</a> Rights Information about rights held in and over the resource Restricted Access Relation A related resource ISSN: 20757905 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 Joseph A., Department of Mathematics, CHRIST (Deemed to be University), Bengaluru, India; Dominic C., Department of Mathematics, CHRIST (Deemed to be University), Bengaluru, India