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 Bankapur, Divya; Naduvath, Sudev Title A name given to the resource ON L(2, 1)-ORDER SUM SIGNED GRAPH OF A FINITE 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 Discussiones Mathematicae - General Algebra and Applications;Volume;45;Issue;2;pp.281-293 Identifier An unambiguous reference to the resource within a given context <a href="https://doi.org/10.7151/dmgaa.1480" target="_blank" rel="noreferrer noopener">https://doi.org/10.7151/dmgaa.1480</a> <br /><br /><a href="https://www.scopus.com/pages/publications/105031151730?origin=resultslist" target="_blank" rel="noreferrer noopener">https://www.scopus.com/pages/publications/105031151730?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 Bankapur D., Department of Mathematics, Christ University, Bangalore, India; Naduvath S., Department of Mathematics, Christ University, Bangalore, India Description An account of the resource In this paper, we have constructed a color-induced signed graph of an algebraic graph, called the L(2, 1)-order sum signed graph of a group. Based on the nature of the group, the L(2, 1)-span of the order sum graph is obtained and the structural aspects of thus obtained L(2, 1)-order sum signed graph such as planarity, chordality, etc. have been investigated. We have also defined an automorphism which turns out to be the only possible automorphism on the graph and have investigated the structural aspects of the graph such as edge transitivity and vertex transitivity. Further, a line-signed graph of L(2, 1)-order sum signed graph, which is a line graph with a signing protocol defined for the edges, has also been introduced. We have also explored the regularity of the line-signed graph. 2025 Sciendo. All rights reserved. Subject The topic of the resource L(2, 1)-coloring; L(2,1)-order sum signed graph; negative chordality; positive chordality; pseudo-planarity; signed graph homomorphism Publisher An entity responsible for making the resource available Sciendo Relation A related resource ISSN: 15099415; 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 All Open Access; Gold Open Access; Green Open Access Format The file format, physical medium, or dimensions of the resource online