{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,8,21]],"date-time":"2025-08-21T18:23:05Z","timestamp":1755800585609,"version":"3.41.2"},"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>In this note, we show that any $n$-vertex graph without even cycles of length at most $2k$ has at most ${1\\over2}n^{1 + 1\/k} + O(n)$ edges, and polarity graphs of generalized polygons show that this is asymptotically tight when $k \\in \\{2,3,5\\}$.<\/jats:p>","DOI":"10.37236\/1972","type":"journal-article","created":{"date-parts":[[2020,1,11]],"date-time":"2020-01-11T05:18:17Z","timestamp":1578719897000},"source":"Crossref","is-referenced-by-count":8,"title":["A Note on Graphs Without Short Even Cycles"],"prefix":"10.37236","volume":"12","author":[{"given":"Thomas","family":"Lam","sequence":"first","affiliation":[]},{"given":"Jacques","family":"Verstra\u00ebte","sequence":"additional","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2005,4,6]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v12i1n5\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v12i1n5\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,18]],"date-time":"2020-01-18T04:50:17Z","timestamp":1579323017000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v12i1n5"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2005,4,6]]},"references-count":0,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2005,1,7]]}},"URL":"https:\/\/doi.org\/10.37236\/1972","relation":{},"ISSN":["1077-8926"],"issn-type":[{"type":"electronic","value":"1077-8926"}],"subject":[],"published":{"date-parts":[[2005,4,6]]},"article-number":"N5"}}