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- W2043022221 abstract "In this paper we show that in any edge-colouring of the complete graph by three colours, it is possible to cover all the vertices by three disjoint monochromatic paths. This solves a particular case of a conjecture of Gyarfas. As an intermediate result, we show that in any edge colouring of the complete graph by two colours, it is possible to cover all the vertices by a monochromatic path and a disjoint monochromatic balanced complete bipartite graph." @default.
- W2043022221 created "2016-06-24" @default.
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- W2043022221 date "2011-12-01" @default.
- W2043022221 modified "2023-09-22" @default.
- W2043022221 title "Partitioning 3-coloured complete graphs into three monochromatic paths" @default.
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- W2043022221 doi "https://doi.org/10.1016/j.endm.2011.10.020" @default.
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