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 On families of graphs which are both adjacency equienergetic and distance equienergetic Subject The topic of the resource 05C50; 05C76; Distance energy; Distance equienergetic graphs; Equienergetic graphs; Graph energy Description An account of the resource Let A(G) and D(G) be the adjacency and distance matrices of a graph G respectively. The adjacency energy or A-energy EA(G) of a graph G is defined as the sum of the absolute values of the eigenvalues of A(G). Analogously, the D-energy ED(G) is defined to be the sum of the absolute values of the eigenvalues of D(G). One of the interesting problems on graph energy is to characterize those graphs which are equienergetic with respect to both the adjacency and distance matrices. A weaker problem is to construct the families of graphs which are equienergetic with respect to both the adjacency and distance matrices. In this paper, we find the explicit relations between A-energy and D-energy of certain families of graphs. As a consequence, we provide an answer to the above open problem (Indulal in https://icgc2020.wordpress.com/invitedlectures, 2020; http://www.facweb.iitkgp.ac.in/rkannan/gma.html, 2020) The Indian National Science Academy 2022. Creator An entity primarily responsible for making the resource Ramane H.S.; Parvathalu B.; Ashoka K.; Pirzada S. Source A related resource from which the described resource is derived Indian Journal of Pure and Applied Mathematics, Vol-55, No. 1, pp. 198-209. Publisher An entity responsible for making the resource available Indian National Science Academy 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/10.1007/s13226-022-00355-1" target="_blank" rel="noreferrer noopener">https://doi.org/10.1007/s13226-022-00355-1</a> <br /><br /><a href="https://www.scopus.com/inward/record.uri?eid=2-s2.0-85143701097&amp;doi=10.1007%2Fs13226-022-00355-1&amp;partnerID=40&amp;md5=7c0a408480b326b1f4ad06c806c44217" target="_blank" rel="noreferrer noopener">https://www.scopus.com/inward/record.uri?eid=2-s2.0-85143701097&amp;doi=10.1007%2fs13226-022-00355-1&amp;partnerID=40&amp;md5=7c0a408480b326b1f4ad06c806c44217</a> Rights Information about rights held in and over the resource Restricted Access Relation A related resource ISSN: 195588 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 Ramane H.S., Department of Mathematics, Karnatak University, Karnataka, Dharwad, 580003, India; Parvathalu B., Department of Mathematics, Christ University, Karnataka, Bangalore, 560029, India; Ashoka K., Department of Mathematics, Karnatak Universitys Karnatak Arts College, Karnataka, Dharwad, 580001, India; Pirzada S., Department of Mathematics, University of Kashmir, Kashmir, Srinagar, 190006, India