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- W2024235935 abstract "Let k and ℓ be positive integers. With a graph G , we associate the quantity c k ,ℓ ( G ), the number of k -colourings of the edge set of G with no monochromatic matching of size ℓ. Consider the function c k ,ℓ : given by c k ,ℓ ( n ) = max { c k ,ℓ ( G ): | V ( G )| = n }, the maximum of c k ,ℓ ( G ) over all graphs G on n vertices. In this paper, we determine c k ,ℓ ( n ) and the corresponding extremal graphs for all large n and all fixed values of k and ℓ." @default.
- W2024235935 created "2016-06-24" @default.
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- W2024235935 date "2012-02-02" @default.
- W2024235935 modified "2023-09-24" @default.
- W2024235935 title "Edge Colourings of Graphs Avoiding Monochromatic Matchings of a Given Size" @default.
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- W2024235935 doi "https://doi.org/10.1017/s0963548311000484" @default.
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