{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,19]],"date-time":"2026-05-19T22:35:27Z","timestamp":1779230127527,"version":"3.51.4"},"reference-count":0,"publisher":"The Electronic Journal of Combinatorics","issue":"1","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Electron. J. Combin."],"abstract":"<jats:p>We investigate the Laplacian eigenvalues of a random graph $G(n,\\vec d)$ with a given expected degree distribution $\\vec d$.  The main result is that w.h.p. $G(n,\\vec d)$ has a large subgraph core$(G(n,\\vec d))$ such that the spectral gap of the normalized Laplacian of core$(G(n,\\vec d))$ is $\\geq1-c_0\\bar d_{\\min}^{-1\/2}$ with high probability; here $c_0&gt;0$ is a constant, and $\\bar d_{\\min}$ signifies the minimum expected degree.  The result in particular applies to sparse graphs with $\\bar d_{\\min}=O(1)$ as $n\\rightarrow\\infty$.  The present paper complements the work of Chung, Lu, and Vu [Internet Mathematics 1, 2003].<\/jats:p>","DOI":"10.37236\/227","type":"journal-article","created":{"date-parts":[[2020,1,11]],"date-time":"2020-01-11T04:23:56Z","timestamp":1578716636000},"source":"Crossref","is-referenced-by-count":13,"title":["The Spectral Gap of Random Graphs with Given Expected Degrees"],"prefix":"10.37236","volume":"16","author":[{"given":"Amin","family":"Coja-Oghlan","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Andr\u00e9","family":"Lanka","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"23455","published-online":{"date-parts":[[2009,11,13]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v16i1r138\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v16i1r138\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,18]],"date-time":"2020-01-18T00:04:10Z","timestamp":1579305850000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v16i1r138"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2009,11,13]]},"references-count":0,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2009,1,7]]}},"URL":"https:\/\/doi.org\/10.37236\/227","relation":{},"ISSN":["1077-8926"],"issn-type":[{"value":"1077-8926","type":"electronic"}],"subject":[],"published":{"date-parts":[[2009,11,13]]},"article-number":"R138"}}