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- W135335922 abstract "To a sum-free partition of a group of order n into r parts, there corresponds a triangle-free edge-colouring of the complete graph on n vertices into r colours. We say that this colouring, and all the complete subgraphs of it, are derived from the sum-free partition.It has been asked whether every triangle-free colouring of a complete graph in r colours can be derived from some sum-free partition into r parts. We prove that the answer is no, by exhibiting a triangle-free colouring of K6 into three colours which cannot be imbedded in any colouring derived from a sum-free partition into three parts." @default.
- W135335922 created "2016-06-24" @default.
- W135335922 creator A5007878890 @default.
- W135335922 date "1976-01-01" @default.
- W135335922 modified "2023-09-27" @default.
- W135335922 title "A non-imbeddable proper colouring" @default.
- W135335922 cites W1957100706 @default.
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- W135335922 doi "https://doi.org/10.1007/bfb0097371" @default.
- W135335922 hasPublicationYear "1976" @default.
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