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 Injective edge coloring of product graphs and some complexity results Subject The topic of the resource Cartesian product; complexity; corona; injective edge chromatic index; join; triregular graphs; union Description An account of the resource Three edges e1, e2 and e3 in a graph G are consecutive if they form a cycle of length 3 or a path in this order. A k-injective edge coloring of a graph G is an edge coloring of G, (not necessarily proper), such that if edges e1, e2, e3 are consecutive, then e1 and e3 receive distinct colors. The minimum k for which G has a k-injective edge coloring is called the injective edge chromatic index, denoted by ?? (G) [4]. In this article, the i injective edge chromatic index of the resultant graphs by the operations union, join, Cartesian product and corona product of G and H are determined, where G and H are different classes of graphs. Also for any two arbitrary graphs G and H, bounds for ?? (G+H) andi?? (G? H) are obtained. Moreover the injective edge i coloring problem restricted to (2, 3, r)-triregular graph, (2, 4, r)-triregular graph and (2, r)-biregular graph, r ? 3 are also been demonstrated to be NP-complete. 2023, University of Nis. All rights reserved. Creator An entity primarily responsible for making the resource Bhanupriya C.K.; Dominic C.; Sunitha M.S. Source A related resource from which the described resource is derived Filomat, Vol-37, No. 12, pp. 3963-3983. Publisher An entity responsible for making the resource available University of Nis 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/10.2298/FIL2312963K" target="_blank" rel="noreferrer noopener">https://doi.org/10.2298/FIL2312963K</a> <br /><br /><a href="https://www.scopus.com/inward/record.uri?eid=2-s2.0-85150504266&amp;doi=10.2298%2FFIL2312963K&amp;partnerID=40&amp;md5=19bd839744a5ee3df56b792b71079dc8" target="_blank" rel="noreferrer noopener">https://www.scopus.com/inward/record.uri?eid=2-s2.0-85150504266&amp;doi=10.2298%2fFIL2312963K&amp;partnerID=40&amp;md5=19bd839744a5ee3df56b792b71079dc8</a> Rights Information about rights held in and over the resource All Open Access; Gold Open Access Relation A related resource ISSN: 3545180 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 Bhanupriya C.K., Department of Mathematics, NIT Calicut, Kerala, Kozhikode, 673 601, India, Department of Mathematics, Mar Thoma College Chungathara, Kerala, Malappuram, 679334, India; Dominic C., Department of Mathematics, CHRIST(Deemed to be University), Karnataka, Bengaluru, 560029, India, Department of Mathematical Sciences, University of Essex, Essex, Colchester, CO4 3SQ, United Kingdom; Sunitha M.S., Department of Mathematics, NIT Calicut, Kerala, Kozhikode, 673 601, India