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Cycles of given size in a dense graph
Published 12 Feb 2015 in math.CO | (1502.03549v1)
Abstract: We generalise a result of Corr\'{a}di and Hajnal and show that every graph with average degree at least $\tfrac{4}{3}kr$ contains $k$ vertex disjoint cycles, each of order at least $r$, as long as $k \geq 6$. This bound is sharp when $r=3$.
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