An asymptotic multipartite Kühn-Osthus theorem

Martin, R. R., Mycroft, R. & Skokan, J.ORCID logo (2017). An asymptotic multipartite Kühn-Osthus theorem. SIAM Journal on Discrete Mathematics, 31(3), 1498-1513. https://doi.org/10.1137/16M1070621
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In this paper we prove an asymptotic multipartite version of a well-known theorem of K¨uhn and Osthus by establishing, for any graph H with chromatic number r, the asymptotic multipartite minimum degree threshold which ensures that a large r-partite graph G admits a perfect H-tiling. We also give the threshold for an H-tiling covering all but a linear number of vertices of G, in a multipartite analogue of results of Koml´os and of Shokoufandeh and Zhao.

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