{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,19]],"date-time":"2026-02-19T02:05:18Z","timestamp":1771466718979,"version":"3.50.1"},"reference-count":34,"publisher":"World Scientific Pub Co Pte Ltd","issue":"04","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Discrete Math. Algorithm. Appl."],"published-print":{"date-parts":[[2025,5]]},"abstract":"<jats:p> The non-commuting graph of a non-abelian group [Formula: see text] with center [Formula: see text] is a simple undirected graph whose vertex set is [Formula: see text] and two vertices [Formula: see text] are adjacent if [Formula: see text]. In this paper, we compute Signless Laplacian spectrum and Signless Laplacian energy of non-commuting graphs of certain finite non-abelian groups. We obtain several conditions such that the non-commuting graph of [Formula: see text] is Q-integral and observe relations between energy, Signless Laplacian energy and Laplacian energy. In addition, we look into the hyperenergetic and hypoenergetic properties of non-commuting graphs of finite groups. We also assess whether the same graphs are Q-hyperenergetic and L-hyperenergetic. <\/jats:p>","DOI":"10.1142\/s1793830924500605","type":"journal-article","created":{"date-parts":[[2024,7,18]],"date-time":"2024-07-18T03:08:45Z","timestamp":1721272125000},"source":"Crossref","is-referenced-by-count":2,"title":["Signless Laplacian energies of non-commuting graphs of finite groups and related results"],"prefix":"10.1142","volume":"17","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-1143-3568","authenticated-orcid":false,"given":"Monalisha","family":"Sharma","sequence":"first","affiliation":[{"name":"Department of Mathematical Sciences, Tezpur University, Napaam 784028, Sonitpur, Assam, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4066-5608","authenticated-orcid":false,"given":"Rajat Kanti","family":"Nath","sequence":"additional","affiliation":[{"name":"Department of Mathematical Sciences, Tezpur University, Napaam 784028, Sonitpur, Assam, India"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2024,9,4]]},"reference":[{"key":"S1793830924500605BIB001","doi-asserted-by":"publisher","DOI":"10.1016\/j.jalgebra.2006.02.015"},{"issue":"4","key":"S1793830924500605BIB002","first-page":"176","volume":"4","author":"Abdussakir A.","year":"2017","journal-title":"Cauchy-J. 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