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- W2921312404 abstract "A subgraph of an edge-coloured graph is called rainbow if all its edges have distinct colours. Our main result implies that, given any optimal colouring of a sufficiently large complete graph $K_{2n}$, there exists a decomposition of $K_{2n}$ into isomorphic rainbow spanning trees. This settles conjectures of Brualdi--Hollingsworth (from 1996) and Constantine (from 2002) for large graphs." @default.
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- W2921312404 date "2019-03-11" @default.
- W2921312404 modified "2023-09-27" @default.
- W2921312404 title "Decompositions into isomorphic rainbow spanning trees." @default.
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