Decompositions into isomorphic rainbow spanning trees
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Colleges, School and Institutes
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 K2n, there exists a decomposition of K2n into isomorphic rainbow spanning trees. This settles conjectures of Brualdi-Hollingsworth (from 1996) and Constantine (from 2002) for large graphs.
|Journal||Journal of Combinatorial Theory. Series B|
|Publication status||Published - 10 Mar 2020|