AN ASYMPTOTIC MULTIPARTITE KUHN-OSTHUS THE OREM

作者:Martint Ryan R; Mycroft Richard; Skokan Jozef
来源:SIAM Journal on Discrete Mathematics, 2017, 31(3): 1498-1513.
DOI:10.1137/16M1070621

摘要

In this paper we prove an asymptotic multipartite version of a well-known theorem of Kuhn 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 Komlos and of Shokoufandeh and Zhao.

  • 出版日期2017