{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T13:09:17Z","timestamp":1753880957465,"version":"3.41.2"},"reference-count":13,"publisher":"World Scientific Pub Co Pte Ltd","issue":"08","funder":[{"name":"Department of Science and Technology, India","award":["IF170184"],"award-info":[{"award-number":["IF170184"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Discrete Math. Algorithm. Appl."],"published-print":{"date-parts":[[2024,11]]},"abstract":"<jats:p> For a finite simple undirected graph [Formula: see text], the universal adjacency matrix [Formula: see text] is a linear combination of the adjacency matrix [Formula: see text], the degree diagonal matrix [Formula: see text], the identity matrix [Formula: see text] and the all-ones matrix [Formula: see text], that is [Formula: see text], where [Formula: see text] and [Formula: see text]. The cozero-divisor graph [Formula: see text] of a finite commutative ring [Formula: see text] with unity is a simple undirected graph with the set of all nonzero nonunits of [Formula: see text] as vertices and two vertices [Formula: see text] and [Formula: see text] are adjacent if and only if [Formula: see text] and [Formula: see text]. In this paper, we study structural properties of [Formula: see text] by defining an equivalence relation on its vertex set in terms of principal ideals of the ring [Formula: see text]. Then we obtain the universal adjacency eigenpairs of [Formula: see text] and its complement, and as a consequence one may obtain several spectra like the adjacency, Seidel, Laplacian, signless Laplacian, normalized Laplacian, generalized adjacency and convex linear combination of the adjacency and degree diagonal matrix of [Formula: see text] and [Formula: see text] in an unified way. Moreover, we get the universal adjacency eigenpairs of the cozero-divisor graph and its complement for a reduced ring and the ring of integers modulo [Formula: see text] in a simpler form. <\/jats:p>","DOI":"10.1142\/s1793830923501203","type":"journal-article","created":{"date-parts":[[2023,12,27]],"date-time":"2023-12-27T14:17:28Z","timestamp":1703686648000},"source":"Crossref","is-referenced-by-count":0,"title":["Universal adjacency spectrum of the cozero-divisor graph and its complement on a finite commutative ring with unity"],"prefix":"10.1142","volume":"16","author":[{"given":"Saraswati","family":"Bajaj","sequence":"first","affiliation":[{"name":"Department of Mathematics, Indian Institute of Technology Kharagpur, Kharagpur 721302, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Pratima","family":"Panigrahi","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Indian Institute of Technology Kharagpur, Kharagpur 721302, India"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2024,1,10]]},"reference":[{"key":"S1793830923501203BIB001","first-page":"753","volume":"35","author":"Afkhami M.","year":"2011","journal-title":"Southeast Asian Bull. 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