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Fractional Triangle Decompositions at Partite Minimum Degree $4n/5$

He, Hengzhi et al.
arXiv (All) · Papers
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combinatorics
We prove that every triangle-divisible balanced tripartite graph whose vertex classes have size $n$ and whose partite minimum degree is at least $4n/5$ admits a fractional triangle decomposition. Combined with the multipartite decomposition theorem of Barber, Kühn, Lo, Osthus, and Taylor, this impli
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