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 DISTANCE SPECTRUM OF TWO FAMILIES OF GRAPHS Subject The topic of the resource distance spectrum; equienergetic graphs; integral graphs Description An account of the resource Let H1 and H2 be two copies of the complete graph Kn, n ? 3 with vertex sets V(H1) = {v1,v2...,vn} and V(H2) = {u1,u2,...,un}. Graph ?(n,p), 1 ? p ? n-1, is obtained from the union of graphs H1 and H2 by adding edges {uivi)|i ? {1, 2...,p}}. Graph ?(n) is obtained from the union of graphs H1 and H2 by joining each vertex vi of H1 to every vertex in {u1, u2, ..., un} \ {ui}, i = 1, 2, ..., n. The adjacency spectrum of ?(n, p) and ?(n) were determined in [9]. An open problem posed in [7] was to find families of graphs of diameter greater than two, for which the adjacency and distance spectrum are both integral. To answer the open problem, the distance spectrum of the above family of graphs is calculated, and new distance equienergetic graphs are constructed in this paper. 2024 Jangjeon Research Institute for Mathematical Sciences and Physics. All rights reserved. Creator An entity primarily responsible for making the resource Thomas A.S.; Kalayathankal S.J.; Kureethara J.V. Source A related resource from which the described resource is derived Proceedings of the Jangjeon Mathematical Society, Vol-27, No. 4, pp. 849-857. Publisher An entity responsible for making the resource available Jangjeon Research Institute for Mathematical Sciences and Physics 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/10.17777/pjms2024.27.4.849" target="_blank" rel="noreferrer noopener">https://doi.org/10.17777/pjms2024.27.4.849</a> <br /><br /><a href="https://www.scopus.com/inward/record.uri?eid=2-s2.0-85209546867&amp;doi=10.17777%2Fpjms2024.27.4.849&amp;partnerID=40&amp;md5=38d78857788dd25a0967bce35e12aedb" target="_blank" rel="noreferrer noopener">https://www.scopus.com/inward/record.uri?eid=2-s2.0-85209546867&amp;doi=10.17777%2fpjms2024.27.4.849&amp;partnerID=40&amp;md5=38d78857788dd25a0967bce35e12aedb</a> Rights Information about rights held in and over the resource Restricted Access Relation A related resource ISSN: 15987264 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 Thomas A.S., Department of Mathematics, Catholicate College, Kerala, Pathanamthitta, 689645, India, Department of Mathematics, St Thomas College, Kerala, Kozhencherry, 689641, India; Kalayathankal S.J., Department of Mathematics, Catholicate College, Kerala, Pathanamthitta, 689645, India, Jyothi Engineering College, Cheruthuruthy, Kerala, Thrissur, 679531, India; Kureethara J.V., Department of Mathematics, Christ University, Bangalore, 560029, India