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)-coloring of powers of helm and closed helm graphs Subject The topic of the resource bad edges; Improper coloring; near proper coloring; k)-coloring Description An account of the resource If the availability of colors to color a graph G is less than that of the chromatic number ?(G) of the graph, then coloring the graph with available colors, say k colors, where 1 ? k ? ?(G)-1, will cause the end vertices of at least one edge to be colored with same color. Such an edge whose end vertices receive a same color is called as a bad edge. A coloring that restricts few color classes to have adjacency between the elements in it so as to minimize the number of bad edges obtained from it in a graph G is called as a near proper coloring and a near proper coloring that uses k colors where 1 ? k ? ?(G)-1 to color a graph G by permitting only one color class to have adjacency among the elements in it and thereby minimize the number of bad edges resulting from the permitted color class is called as a ?(k)-coloring of the graph G. In this paper, we determine the number of bad edges of powers of helm graphs H1,nr and powers of closed helm graphs CH1,nr. 2022 World Scientific Publishing Company. Creator An entity primarily responsible for making the resource Ellumkalayil M.T.; Naduvath S. Source A related resource from which the described resource is derived Discrete Mathematics, Algorithms and Applications, Vol-14, No. 2 Publisher An entity responsible for making the resource available World Scientific Date A point or period of time associated with an event in the lifecycle of the resource 2022-01-01 Identifier An unambiguous reference to the resource within a given context <a href="https://doi.org/10.1142/S1793830921501160" target="_blank" rel="noreferrer noopener">https://doi.org/10.1142/S1793830921501160</a> <br /><br /><a href="https://www.scopus.com/inward/record.uri?eid=2-s2.0-85104285219&amp;doi=10.1142%2FS1793830921501160&amp;partnerID=40&amp;md5=484ccd10c6c90a8b36ae08c5165e53c6" target="_blank" rel="noreferrer noopener">https://www.scopus.com/inward/record.uri?eid=2-s2.0-85104285219&amp;doi=10.1142%2fS1793830921501160&amp;partnerID=40&amp;md5=484ccd10c6c90a8b36ae08c5165e53c6</a> Rights Information about rights held in and over the resource Restricted Access Relation A related resource ISSN: 17938309 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 (Deemed to be University), Karnataka, Bangalore, 560029, India; Naduvath S., Department of Mathematics, CHRIST (Deemed to be University), Karnataka, Bangalore, 560029, India