{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,25]],"date-time":"2026-03-25T10:40:00Z","timestamp":1774435200157,"version":"3.50.1"},"reference-count":20,"publisher":"World Scientific Pub Co Pte Ltd","issue":"03","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Discrete Math. Algorithm. Appl."],"published-print":{"date-parts":[[2026,4]]},"abstract":"<jats:p>Let [Formula: see text] be a commutative ring with identity [Formula: see text]. The graph known as the weakly zero-divisor graph of the commutative ring [Formula: see text], denoted as [Formula: see text], is a simple undirected graph whose set of vertices consists of the non-zero zero-divisors of [Formula: see text] and two distinct vertices [Formula: see text] and [Formula: see text] are adjacent if and only if there exist elements [Formula: see text] and [Formula: see text] satisfying the condition [Formula: see text]. The zero-divisor graph of a ring is the spanning subgraph of a weakly zero-divisor graph. In this paper, we find the signless Laplacian spectrum of the weakly zero-divisor graph [Formula: see text]. Specifically, the investigation is carried out on the weakly zero-divisor graph [Formula: see text] for various values of [Formula: see text].<\/jats:p>","DOI":"10.1142\/s1793830925500545","type":"journal-article","created":{"date-parts":[[2025,3,7]],"date-time":"2025-03-07T04:28:52Z","timestamp":1741321732000},"source":"Crossref","is-referenced-by-count":2,"title":["On signless Laplacian spectrum of weakly zero-divisor graph of commutative ring \u2124\ud835\udd2b"],"prefix":"10.1142","volume":"18","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-3955-7941","authenticated-orcid":false,"given":"Nadeem Ur","family":"Rehman","sequence":"first","affiliation":[{"name":"Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9169-8488","authenticated-orcid":false,"family":"Nazim","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4743-6859","authenticated-orcid":false,"given":"Shabir","family":"Ahmad Mir","sequence":"additional","affiliation":[{"name":"School of basic Sciences and Applied Sciences, Faculty of Science and Technology, JSPM University, Pune 412207, India"}]}],"member":"219","published-online":{"date-parts":[[2025,4,19]]},"reference":[{"key":"S1793830925500545BIB001","doi-asserted-by":"publisher","DOI":"10.1016\/S0021-8693(03)00435-6"},{"key":"S1793830925500545BIB002","doi-asserted-by":"publisher","DOI":"10.1006\/jabr.1998.7840"},{"key":"S1793830925500545BIB003","doi-asserted-by":"publisher","DOI":"10.1142\/S1793830923500362"},{"key":"S1793830925500545BIB004","doi-asserted-by":"publisher","DOI":"10.1016\/j.laa.2019.08.015"},{"issue":"7","key":"S1793830925500545BIB005","first-page":"917","volume":"313","author":"Cardoso D. 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