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 Book Chapter Book Chapter Faculty Publications- Book Chapter 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 Sumset valuations of graphs and their applications Description An account of the resource Graph labelling is an assignment of labels to the vertices and/or edges of a graph with respect to certain restrictions and in accordance with certain predefined rules. The sumset of two non-empty sets A and B, denoted by A+B, is defined by A+B=\(a=b: a\inA, b\inB\). Let X be a non-empty subset of the set \Z and \sP(X) be its power set. An \textit of a given graph G is an injective set-valued function f: V(G)\to\sP_0(X), which induces a function f+: E(G)\to\sP_0(X) defined by f+(uv)=f(u)+f(v), where f(u)+f(v) is the sumset of the set-labels of the vertices u and v. This chapter discusses different types of sumset labeling of graphs and their structural characterizations. The properties and characterizations of certain hypergraphs and signed graphs, which are induced by the sumset-labeling of given graphs, are also done in this chapter. 2020, IGI Global. Creator An entity primarily responsible for making the resource Naduvath S.; Augusthy G.K.; Kok J. Source A related resource from which the described resource is derived Handbook of Research on Advanced Applications of Graph Theory in Modern Society, pp. 208-250. Publisher An entity responsible for making the resource available IGI Global 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/10.4018/978-1-5225-9380-5.ch009" target="_blank" rel="noreferrer noopener">https://doi.org/10.4018/978-1-5225-9380-5.ch009</a> <br /><br /><a href="https://www.scopus.com/inward/record.uri?eid=2-s2.0-85077825918&amp;doi=10.4018%2F978-1-5225-9380-5.ch009&amp;partnerID=40&amp;md5=ab640042aac54f3fc8b986a25328d87b" target="_blank" rel="noreferrer noopener">https://www.scopus.com/inward/record.uri?eid=2-s2.0-85077825918&amp;doi=10.4018%2f978-1-5225-9380-5.ch009&amp;partnerID=40&amp;md5=ab640042aac54f3fc8b986a25328d87b</a> Rights Information about rights held in and over the resource All Open Access; Green Open Access Relation A related resource ISBN: 978-152259382-9; 1522593802; 978-179980929-6 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 Book chapter Coverage The spatial or temporal topic of the resource, the spatial applicability of the resource, or the jurisdiction under which the resource is relevant Naduvath S., Department of Mathematics, Christ University, Bangalore, India; Augusthy G.K., Department of Mathematics, Central University of Kerala, Karsargod, Kerala, India; Kok J., Tshwane Metropolitan Police Department, South Africa