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- W1701283134 abstract "Balogh, Bar'at, Gerbner, Gy'arf'as, and S'arkozy proposed 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. We prove that this conjecture holds for $n$ large enough, improving approximate results by the aforementioned authors and by DeBiasio and Nelsen." @default.
- W1701283134 created "2016-06-24" @default.
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- W1701283134 date "2015-02-26" @default.
- W1701283134 modified "2023-09-28" @default.
- W1701283134 title "Monochromatic cycle partitions of $2$-coloured graphs with minimum degree $3n/4$" @default.
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