{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,13]],"date-time":"2026-01-13T14:34:52Z","timestamp":1768314892464,"version":"3.49.0"},"reference-count":13,"publisher":"World Scientific Pub Co Pte Lt","issue":"03","funder":[{"DOI":"10.13039\/501100005276","name":"National Board for Higher Mathematics","doi-asserted-by":"publisher","award":["2\/39(2)\/2015\/R&D-II\/NBHM\/7458"],"award-info":[{"award-number":["2\/39(2)\/2015\/R&D-II\/NBHM\/7458"]}],"id":[{"id":"10.13039\/501100005276","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Discrete Math. Algorithm. Appl."],"published-print":{"date-parts":[[2021,6]]},"abstract":"<jats:p> Let [Formula: see text] denote the Coprime Graph of a finite group [Formula: see text]. In this paper we study the Laplacian eigenvalues of the Coprime Graph of the finite cyclic group [Formula: see text] and the Dihedral group [Formula: see text] where [Formula: see text]. We find the characteristic polynomial of [Formula: see text] for any [Formula: see text] and determine the eigenvalues of [Formula: see text] for [Formula: see text] where [Formula: see text] are primes and [Formula: see text] is a positive integer. We characterize the values of [Formula: see text] for which algebraic and vertex connectivity of [Formula: see text] are equal. We also discuss about the largest and the second largest eigenvalue of [Formula: see text]. Finally, the spectra of [Formula: see text] has been determined for [Formula: see text] where [Formula: see text] are primes and [Formula: see text] is a positive integer. <\/jats:p>","DOI":"10.1142\/s1793830921500208","type":"journal-article","created":{"date-parts":[[2020,9,10]],"date-time":"2020-09-10T06:54:01Z","timestamp":1599720841000},"page":"2150020","source":"Crossref","is-referenced-by-count":6,"title":["Laplacian spectra of Coprime Graph of finite cyclic and Dihedral groups"],"prefix":"10.1142","volume":"13","author":[{"given":"Subarsha","family":"Banerjee","sequence":"first","affiliation":[{"name":"Department of Pure Mathematics, University of Calcutta, 35 Ballygunge Circular Road, Kolkata 700019, West Bengal, India"}]}],"member":"219","published-online":{"date-parts":[[2020,10,14]]},"reference":[{"key":"S1793830921500208BIB001","volume-title":"Spectra of Graphs","author":"Brouwer A. E.","year":"2011"},{"key":"S1793830921500208BIB002","doi-asserted-by":"publisher","DOI":"10.1016\/j.laa.2006.08.017"},{"issue":"4","key":"S1793830921500208BIB003","first-page":"17","volume":"5","author":"Dorbidi H. R.","year":"2016","journal-title":"Int. J. Group Theory"},{"key":"S1793830921500208BIB004","volume-title":"Abstract Algebra","volume":"3","author":"Dummit D. S.","year":"2004"},{"key":"S1793830921500208BIB005","doi-asserted-by":"publisher","DOI":"10.21136\/CMJ.1973.101168"},{"key":"S1793830921500208BIB006","doi-asserted-by":"publisher","DOI":"10.1016\/j.laa.2004.10.022"},{"key":"S1793830921500208BIB007","doi-asserted-by":"publisher","DOI":"10.1016\/j.laa.2006.07.012"},{"key":"S1793830921500208BIB008","doi-asserted-by":"publisher","DOI":"10.1016\/j.laa.2012.10.047"},{"key":"S1793830921500208BIB009","doi-asserted-by":"publisher","DOI":"10.1080\/03081080008818663"},{"key":"S1793830921500208BIB010","doi-asserted-by":"publisher","DOI":"10.1016\/j.laa.2003.06.007"},{"issue":"3","key":"S1793830921500208BIB011","first-page":"13","volume":"3","author":"Ma X. L.","year":"2014","journal-title":"Int. J. Group Theory"},{"issue":"871","key":"S1793830921500208BIB012","first-page":"12","volume":"2","author":"Mohar B.","year":"1991","journal-title":"Graph Theory Comb. Appl."},{"issue":"2","key":"S1793830921500208BIB013","first-page":"174","volume":"69","author":"Selvakumar K.","year":"2017","journal-title":"Australas. J. Comb."}],"container-title":["Discrete Mathematics, Algorithms and Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S1793830921500208","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,4,28]],"date-time":"2021-04-28T07:28:59Z","timestamp":1619594939000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S1793830921500208"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,10,14]]},"references-count":13,"journal-issue":{"issue":"03","published-print":{"date-parts":[[2021,6]]}},"alternative-id":["10.1142\/S1793830921500208"],"URL":"https:\/\/doi.org\/10.1142\/s1793830921500208","relation":{},"ISSN":["1793-8309","1793-8317"],"issn-type":[{"value":"1793-8309","type":"print"},{"value":"1793-8317","type":"electronic"}],"subject":[],"published":{"date-parts":[[2020,10,14]]}}}