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 The sparing number of certain graph powers Subject The topic of the resource graph powers; integer additive set-indexers; mono-indexed elements of a graph; sparing number of a graph; weak integer additive set-indexers Description An account of the resource Let N0 be the set of all non-negative integers and P(N0) be its power set. Then, an integer additive set-indexer (IASI) of a given graph G is an injective function f : V(G) ! P(N0) such that the induced function f+ : E(G) ! P(N0) deffned by f+(uv) = f(u) + f(v) is also injective. An IASI f is said to be a weak IASI if jf+(uv)j = max(jf(u)j; jf(v)j) for all u; v 2 V(G). A graph which admits a weak IASI may be called a weak IASI graph. The set-indexing number of an element of a graph G, a vertex or an edge, is the cardinality of its set-labels. The sparing number of a graph G is the minimum number of edges with singleton set-labels, required for a graph G to admit a weak IASI. In this paper, we study the admissibility of weak IASI by certain graph powers and their corresponding sparing numbers. 2019 Sciendo. All rights reserved. Creator An entity primarily responsible for making the resource Sudev N.K.; Chithra K.P.; Germina K.A. Source A related resource from which the described resource is derived Acta Universitatis Sapientiae, Mathematica, Vol-11, No. 1, pp. 186-202. Publisher An entity responsible for making the resource available Sciendo Date A point or period of time associated with an event in the lifecycle of the resource 2019-01-01 Identifier An unambiguous reference to the resource within a given context <a href="https://doi.org/10.2478/ausm-2019-0015" target="_blank" rel="noreferrer noopener">https://doi.org/10.2478/ausm-2019-0015</a> <br /><br /><a href="https://www.scopus.com/inward/record.uri?eid=2-s2.0-85071448793&amp;doi=10.2478%2Fausm-2019-0015&amp;partnerID=40&amp;md5=a880016a8facadd408d73f8856d6dcc1" target="_blank" rel="noreferrer noopener">https://www.scopus.com/inward/record.uri?eid=2-s2.0-85071448793&amp;doi=10.2478%2fausm-2019-0015&amp;partnerID=40&amp;md5=a880016a8facadd408d73f8856d6dcc1</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: 18446094 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 Sudev N.K., Department of Mathematics, CHRIST (Deemed to Be University), Bangalore, 560029, India; Chithra K.P., Department of Mathematics, CHRIST (Deemed to Be University), Bangalore, 560029, India; Germina K.A., Department of Mathematics, Central University of Kerala, Kasaragod, India