{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T14:28:27Z","timestamp":1753885707341,"version":"3.41.2"},"reference-count":7,"publisher":"World Scientific Pub Co Pte Ltd","issue":"06","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Discrete Math. Algorithm. Appl."],"published-print":{"date-parts":[[2021,12]]},"abstract":"<jats:p> In this paper, we construct a new framework that\u2019s we call the weighted [Formula: see text]-simplicial complex and we define its spectral gap. An upper bound for our spectral gap is given by generalizing the Cheeger constant. The lower bound for our spectral gap is obtained from the first nonzero eigenvalue of the Laplacian acting on the functions of certain weighted [Formula: see text]-simplicial complexes. <\/jats:p>","DOI":"10.1142\/s1793830921500841","type":"journal-article","created":{"date-parts":[[2021,2,23]],"date-time":"2021-02-23T15:02:44Z","timestamp":1614092564000},"source":"Crossref","is-referenced-by-count":0,"title":["Spectral gap of a weighted 3-simplicial complex"],"prefix":"10.1142","volume":"13","author":[{"given":"Khalid","family":"Hatim","sequence":"first","affiliation":[{"name":"Laboratoire de Mod\u00e9lisation, Analyse, Contr\u00f4le et Statistiques, D\u00e9partement de Math\u00e9matiques et Informatique, Facult\u00e9 des Science A\u00efn Chock, Universit\u00e9 Hassan II de Casablanca, Morocco"}]},{"given":"Azeddine","family":"Baalal","sequence":"additional","affiliation":[{"name":"Laboratoire de Mod\u00e9lisation, Analyse, Contr\u00f4le et Statistiques, D\u00e9partement de Math\u00e9matiques et Informatique, Facult\u00e9 des Science A\u00efn Chock, Universit\u00e9 Hassan II de Casablanca, Morocco"}]}],"member":"219","published-online":{"date-parts":[[2021,2,20]]},"reference":[{"key":"S1793830921500841BIB001","doi-asserted-by":"publisher","DOI":"10.1016\/0095-8956(85)90092-9"},{"key":"S1793830921500841BIB002","series-title":"Papers dedicated to Salamon Bochner, 1969","first-page":"195","volume-title":"Problems in Analysis","author":"Cheeger J.","year":"1970"},{"key":"S1793830921500841BIB003","unstructured":"F. R. K. Chung,  Spectral Graph Theory,  CBMS Regional Conference Series in Mathematics, Vol.  92  (American Mathematical Society, 1994), xi, p.  207."},{"key":"S1793830921500841BIB004","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4419-7236-1"},{"key":"S1793830921500841BIB005","first-page":"426","volume":"78","author":"Gaffney M.","year":"1955","journal-title":"Ann. Math."},{"key":"S1793830921500841BIB006","series-title":"Cambridge Studies in Advanced Mathematics","volume-title":"Cliford Algebras and Dirac Operators in Harmonic Analysis","volume":"26","author":"Gilbert J.","year":"1991"},{"key":"S1793830921500841BIB007","doi-asserted-by":"publisher","DOI":"10.1088\/1751-8113\/46\/27\/275309"}],"container-title":["Discrete Mathematics, Algorithms and Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S1793830921500841","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,12,8]],"date-time":"2021-12-08T11:33:02Z","timestamp":1638963182000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S1793830921500841"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,2,20]]},"references-count":7,"journal-issue":{"issue":"06","published-print":{"date-parts":[[2021,12]]}},"alternative-id":["10.1142\/S1793830921500841"],"URL":"https:\/\/doi.org\/10.1142\/s1793830921500841","relation":{},"ISSN":["1793-8309","1793-8317"],"issn-type":[{"type":"print","value":"1793-8309"},{"type":"electronic","value":"1793-8317"}],"subject":[],"published":{"date-parts":[[2021,2,20]]},"article-number":"2150084"}}