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 Faculty Publications 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/. Creator An entity primarily responsible for making the resource Amreen, Javeria; Naduvath, Sudev Title A name given to the resource ORDER SUM SIGNED GRAPH OF A GROUP Date A point or period of time associated with an event in the lifecycle of the resource 01-01-2025 Source A related resource from which the described resource is derived Journal of Algebra and Related Topics;Volume;12;Issue;2;pp.87-98 Identifier An unambiguous reference to the resource within a given context <a href="https://doi.org/10.22124/jart.2024.23574.1488" target="_blank" rel="noreferrer noopener">https://doi.org/10.22124/jart.2024.23574.1488</a> <br /><br /><a href="https://www.scopus.com/pages/publications/85218081746?origin=resultslist" target="_blank" rel="noreferrer noopener">https://www.scopus.com/pages/publications/85218081746?origin=resultslist</a> Coverage The spatial or temporal topic of the resource, the spatial applicability of the resource, or the jurisdiction under which the resource is relevant Amreen J., Department of Mathematics, Christ University, Bangalore, India; Naduvath S., Department of Mathematics, Christ University, Bangalore, India Description An account of the resource The order sum graph associated with the group G, denoted by ?os, is a graph with vertex set consisting of elements of G and two vertices say a,b ? ?os are adjacent if o(a) + o(b) &gt; o(G), where o(?) denotes the order of a group or an element of a group. In this paper, we introduce a signed graph called order sum signed graph where the underlying graph is a complete graph of order n and the edges receive positive and negative signs based on the order sum graph. We characterise the balanced negated order sum signed graphs. We also characterise the positive and negative homogeneous order sum signed graphs. Further, we study the properties such as clusterability, sign-compatibility, consistency and switching of signed graphs. Further, we obtain the adjacency spectra, Laplacian spectra and signless Laplacian spectra of the order sum signed graphs associated with cyclic groups. 2025, University of Guilan. All rights reserved. Subject The topic of the resource Algebraic graphs; order sum graphs; order sum signed graphs Publisher An entity responsible for making the resource available University of Guilan Relation A related resource ISSN: 23453931; Language A language of the resource English Type The nature or genre of the resource Article Rights Information about rights held in and over the resource Restricted Access; Hardcopy may be available in the library Format The file format, physical medium, or dimensions of the resource online