{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,7]],"date-time":"2026-04-07T00:33:56Z","timestamp":1775522036053,"version":"3.50.1"},"reference-count":23,"publisher":"World Scientific Pub Co Pte Ltd","issue":"03","funder":[{"DOI":"10.13039\/501100005276","name":"National Board for Higher Mathematics","doi-asserted-by":"publisher","award":["2\/39(2)\/2015$\/NBHM\/R&D-II$\/7458"],"award-info":[{"award-number":["2\/39(2)\/2015$\/NBHM\/R&D-II$\/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":[[2023,4]]},"abstract":"<jats:p> Let R be a commutative ring with unity, and let [Formula: see text] denote the comaximal graph of R. The comaximal graph [Formula: see text] has vertex set as R, and any two distinct vertices x, y of [Formula: see text] are adjacent if [Formula: see text]. Let [Formula: see text] denote the induced subgraph of [Formula: see text] on the set of all nonzero non-unit elements of R, and any two distinct vertices x, y of [Formula: see text] are adjacent if [Formula: see text]. In this paper, we study the graphical structure as well the adjacency spectrum of [Formula: see text], where [Formula: see text] is a non-prime positive integer, and [Formula: see text] is the ring of integers modulo n. We show that for a given non-prime positive integer n with D number of positive proper divisors, the eigenvalues of [Formula: see text] are [Formula: see text] with multiplicity [Formula: see text], and remaining eigenvalues are contained in the spectrum of a symmetric [Formula: see text] matrix. We further calculate the rank and nullity of [Formula: see text]. We also determine all the eigenvalues of [Formula: see text] whenever [Formula: see text] is a bipartite graph. Finally, apart from determining certain structural properties of [Formula: see text], we conclude the paper by determining the metric dimension of [Formula: see text]. <\/jats:p>","DOI":"10.1142\/s1793830922500938","type":"journal-article","created":{"date-parts":[[2022,4,19]],"date-time":"2022-04-19T15:08:03Z","timestamp":1650380883000},"source":"Crossref","is-referenced-by-count":3,"title":["The adjacency spectrum and metric dimension of an induced subgraph of comaximal graph of \u2124n"],"prefix":"10.1142","volume":"15","author":[{"given":"Subarsha","family":"Banerjee","sequence":"first","affiliation":[{"name":"Department of Pure Mathematics, University of Calcutta, 35 Ballygunge Circular Road, Kolkata, 700019, India"}]}],"member":"219","published-online":{"date-parts":[[2022,5,13]]},"reference":[{"issue":"6","key":"S1793830922500938BIB001","doi-asserted-by":"crossref","first-page":"2389","DOI":"10.1080\/00927872.2015.1053488","volume":"44","author":"Ali F.","year":"2016","journal-title":"Commun. 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