{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,18]],"date-time":"2026-06-18T14:55:35Z","timestamp":1781794535472,"version":"3.54.5"},"reference-count":0,"publisher":"The Electronic Journal of Combinatorics","issue":"2","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Electron. J. Combin."],"abstract":"<jats:p>We construct a $3$-uniform $1$-degenerate hypergraph on $n$ vertices whose $2$-colour Ramsey number is $\\Omega\\big(n^{3\/2}\/\\log n\\big)$. This shows that all remaining open cases of the hypergraph Burr-Erd\u0151s conjecture are false. Our graph is a variant of the celebrated hedgehog graph. We additionally show near-sharp upper bounds, proving that all $3$-uniform generalised hedgehogs have $2$-colour Ramsey number $O\\big(n^{3\/2}\\big)$.<\/jats:p>","DOI":"10.37236\/14437","type":"journal-article","created":{"date-parts":[[2026,6,18]],"date-time":"2026-06-18T14:30:22Z","timestamp":1781793022000},"source":"Crossref","is-referenced-by-count":0,"title":["Ramsey Numbers for $1$-Degenerate $3$-Graphs"],"prefix":"10.37236","volume":"33","author":[{"given":"Peter","family":"Allen","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Simona","family":"Boyadzhiyska","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Mat\u00edas","family":"Pavez-Sign\u00e9","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"23455","published-online":{"date-parts":[[2026,6,19]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v33i2p61\/9578","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v33i2p61\/9578","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,6,18]],"date-time":"2026-06-18T14:30:22Z","timestamp":1781793022000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v33i2p61"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,6,19]]},"references-count":0,"journal-issue":{"issue":"2","published-online":{"date-parts":[[2026,4,14]]}},"URL":"https:\/\/doi.org\/10.37236\/14437","relation":{},"ISSN":["1077-8926"],"issn-type":[{"value":"1077-8926","type":"electronic"}],"subject":[],"published":{"date-parts":[[2026,6,19]]},"article-number":"P2.61"}}