{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T16:43:33Z","timestamp":1753893813149,"version":"3.41.2"},"reference-count":0,"publisher":"The Electronic Journal of Combinatorics","issue":"3","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Electron. J. Combin."],"abstract":"<jats:p>Let $G = (V,E)$ be a simple graph and let $\\{R,B\\}$ be a partition of $E$.\u00a0 We prove that whenever $|E| + \\mathrm{min}\\{ |R|, |B| \\} &gt; { |V| \\choose 2 }$, there exists a subgraph of $G$ isomorphic to $K_3$ which contains edges from both $R$ and $B$. If instead equality holds, and $G$ has no such subgraph, then we show that $G$ is in one of a few simple classes.\u00a0<\/jats:p>","DOI":"10.37236\/8193","type":"journal-article","created":{"date-parts":[[2020,1,10]],"date-time":"2020-01-10T07:06:12Z","timestamp":1578639972000},"source":"Crossref","is-referenced-by-count":3,"title":["Non-Monochromatic Triangles in a 2-Edge-Coloured Graph"],"prefix":"10.37236","volume":"26","author":[{"given":"Matt","family":"DeVos","sequence":"first","affiliation":[]},{"given":"Jessica","family":"McDonald","sequence":"additional","affiliation":[]},{"given":"Amanda","family":"Montejano","sequence":"additional","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2019,7,5]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v26i3p8\/7867","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v26i3p8\/7867","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,17]],"date-time":"2020-01-17T04:11:44Z","timestamp":1579234304000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v26i3p8"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,7,5]]},"references-count":0,"journal-issue":{"issue":"3","published-online":{"date-parts":[[2019,7,4]]}},"URL":"https:\/\/doi.org\/10.37236\/8193","relation":{},"ISSN":["1077-8926"],"issn-type":[{"type":"electronic","value":"1077-8926"}],"subject":[],"published":{"date-parts":[[2019,7,5]]},"article-number":"P3.8"}}