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 Non-inverse signed graph of a group Subject The topic of the resource algebraic graph; non-inverse graph; non-inverse signed graph Description An account of the resource Let G be a group with binary operation *. The non-inverse graph (in short, i*-graph) of G, denoted by ?, is a simple graph with vertex set consisting of elements of G and two vertices x, y ? ? are adjacent if x and y are not inverses of each other. That is, x ? y if and only if x * y ?= iG ?= y*x, where iG is the identity element of G. In this paper, we extend the study of i*-graphs to signed graphs by defining i*-signed graphs. We characterize the graphs for which the i*-signed graphs and negated i*-signed graphs are balanced, sign-compatible, consistent and k-clusterable. We also obtain the frustration index of the i*-signed graph. Further, we characterize the homogeneous non-inverse signed graphs and study the properties like net-regularity and switching equivalence. Amreen J., Naduvath S., 2024. Creator An entity primarily responsible for making the resource Amreen J.; Naduvath S. Source A related resource from which the described resource is derived Carpathian Mathematical Publications, Vol-16, No. 2, pp. 565-574. Publisher An entity responsible for making the resource available Precarpathian National University Date A point or period of time associated with an event in the lifecycle of the resource 2024-01-01 Identifier An unambiguous reference to the resource within a given context <a href="https://doi.org/10.15330/cmp.16.2.565-574" target="_blank" rel="noreferrer noopener">https://doi.org/10.15330/cmp.16.2.565-574</a> <br /><br /><a href="https://www.scopus.com/inward/record.uri?eid=2-s2.0-85214249427&amp;doi=10.15330%2Fcmp.16.2.565-574&amp;partnerID=40&amp;md5=4ddbe7ae25526fbcb796feabea7615b0" target="_blank" rel="noreferrer noopener">https://www.scopus.com/inward/record.uri?eid=2-s2.0-85214249427&amp;doi=10.15330%2fcmp.16.2.565-574&amp;partnerID=40&amp;md5=4ddbe7ae25526fbcb796feabea7615b0</a> Rights Information about rights held in and over the resource All Open Access; Gold Open Access Relation A related resource ISSN: 20759827 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 Amreen J., Department of Mathematics, CHRIST (Deemed to be University), Karnataka, Bangalore, India; Naduvath S., Department of Mathematics, CHRIST (Deemed to be University), Karnataka, Bangalore, India