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- W2616445782 abstract "Abstract Brualdi and Hollingsworth conjectured that, for even n , in a proper edge coloring of using precisely colors, the edge set can be partitioned into spanning trees which are rainbow (and hence, precisely one edge from each color class is in each spanning tree). They proved that there always are two edge disjoint rainbow spanning trees. Krussel, Marshall, and Verrall improved this to three edge disjoint rainbow spanning trees. Recently, Carraher, Hartke and the author proved a theorem improving this to rainbow spanning trees, even when more general edge colorings of are considered. In this article, we show that if is properly edge colored with colors, a positive fraction of the edges can be covered by edge disjoint rainbow spanning trees." @default.
- W2616445782 created "2017-05-26" @default.
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- W2616445782 date "2017-05-18" @default.
- W2616445782 modified "2023-09-30" @default.
- W2616445782 title "Rainbow spanning trees in complete graphs colored by one-factorizations" @default.
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- W2616445782 doi "https://doi.org/10.1002/jgt.22160" @default.
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