A Rainbow Dirac's Theorem

Published 17 Sep 2018 in math.CO | (1809.06392v1)

Abstract: A famous theorem of Dirac states that any graph on $n$ vertices with minimum degree at least $n/2$ has a Hamilton cycle. Such graphs are called Dirac graphs. Strengthening this result, we show the existence of rainbow Hamilton cycles in $\mu n$-bounded colourings of Dirac graphs for sufficiently small $\mu >0$.

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