{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,4]],"date-time":"2025-11-04T16:08:53Z","timestamp":1762272533167,"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>Balogh, Bar\u00e1t, Gerbner, Gy\u00e1rf\u00e1s, and S\u00e1rk\u00f6zy made the following conjecture. Let $G$ be a graph on $n$ vertices with minimum degree at least $3n\/4$. Then for every $2$-edge-colouring of $G$, the vertex set $V(G)$ may be partitioned into two vertex-disjoint cycles, one of each colour.\r\nWe prove this conjecture for large $n$, improving approximate results by the aforementioned authors and by DeBiasio and Nelsen.\r\n\u00a0<\/jats:p>","DOI":"10.37236\/7239","type":"journal-article","created":{"date-parts":[[2020,1,10]],"date-time":"2020-01-10T07:15:53Z","timestamp":1578640553000},"source":"Crossref","is-referenced-by-count":5,"title":["Monochromatic Cycle Partitions of $2$-Coloured Graphs with Minimum Degree $3n\/4$"],"prefix":"10.37236","volume":"26","author":[{"given":"Shoham","family":"Letzter","sequence":"first","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2019,2,8]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v26i1p19\/7779","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v26i1p19\/7779","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,17]],"date-time":"2020-01-17T04:18:28Z","timestamp":1579234708000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v26i1p19"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,2,8]]},"references-count":0,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2019,1,11]]}},"URL":"https:\/\/doi.org\/10.37236\/7239","relation":{},"ISSN":["1077-8926"],"issn-type":[{"type":"electronic","value":"1077-8926"}],"subject":[],"published":{"date-parts":[[2019,2,8]]},"article-number":"P1.19"}}