{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,7]],"date-time":"2025-10-07T05:22:18Z","timestamp":1759814538470,"version":"3.41.2"},"reference-count":0,"publisher":"The Electronic Journal of Combinatorics","issue":"4","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Electron. J. Combin."],"abstract":"<jats:p>Let $f(n)$ be a positive function and $H$ a graph. Denote by $\\textbf{RT}(n,H,f(n))$ the maximum number of edges of an $H$-free graph on $n$ vertices with independence number less than $f(n)$. It is shown that\u00a0 $\\textbf{RT}(n,K_4+mK_1,o(\\sqrt{n\\log n}))=o(n^2)$ for any fixed integer $m\\geqslant 1$ and $\\textbf{RT}(n,C_{2m+1},f(n))=O(f^2(n))$ for any fixed integer $m\\geqslant 2$ as $n\\to\\infty$.<\/jats:p>","DOI":"10.37236\/9135","type":"journal-article","created":{"date-parts":[[2021,10,8]],"date-time":"2021-10-08T09:35:24Z","timestamp":1633685724000},"source":"Crossref","is-referenced-by-count":2,"title":["Two Results on Ramsey-Tur\u00e1n Theory"],"prefix":"10.37236","volume":"28","author":[{"given":"Meng","family":"Liu","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yusheng","family":"Li","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"23455","published-online":{"date-parts":[[2021,10,8]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v28i4p6\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v28i4p6\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,10,8]],"date-time":"2021-10-08T09:35:25Z","timestamp":1633685725000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v28i4p6"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,10,8]]},"references-count":0,"journal-issue":{"issue":"4","published-online":{"date-parts":[[2021,10,8]]}},"URL":"https:\/\/doi.org\/10.37236\/9135","relation":{},"ISSN":["1077-8926"],"issn-type":[{"type":"electronic","value":"1077-8926"}],"subject":[],"published":{"date-parts":[[2021,10,8]]},"article-number":"P4.6"}}