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The investigation extends to the degree of G, \u0393u, and \u0393q, illuminating the properties of these subgraphs in the context of quadratic congruences.<\/jats:p>","DOI":"10.3390\/sym16020213","type":"journal-article","created":{"date-parts":[[2024,2,12]],"date-time":"2024-02-12T03:50:27Z","timestamp":1707709827000},"page":"213","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Exploring a Graph Complement in Quadratic Congruence"],"prefix":"10.3390","volume":"16","author":[{"given":"Hamza","family":"Daoub","sequence":"first","affiliation":[{"name":"Department of Mathematics, Faculty of Science, University of Zawia, Zawia 16418, Libya"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Osama","family":"Shafah","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Faculty of Science, Sabratha University, Sabratha 00218, Libya"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7712-3947","authenticated-orcid":false,"given":"Ahmad","family":"Almutlg","sequence":"additional","affiliation":[{"name":"Department of Mathematics, College of Science and Arts, Methnab, Qassim University, Buraidah 51931, Saudi Arabia"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2024,2,10]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"367","DOI":"10.2140\/involve.2022.15.367","article-title":"The set of k-units modulo n","volume":"15","author":"Castillo","year":"2022","journal-title":"Involv. 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