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Fractional Clique Decompositions of Dense Partite Graphs | Richard Montgomery
; | Date: |
3 Mar 2016 | Abstract: | We give a minimum degree condition sufficent to ensure the existence of a
fractional $K_r$-decomposition in a balanced $r$-partite graph (subject to some
further simple necessary conditions). This generalises the non-partite problem
studied recently by Barber, Lo, K"uhn, Osthus and the author, and the
$3$-partite fractional $K_3$-decomposition problem studied recently by Dukes.
Combining our result with recent work by Barber, K"uhn, Lo, Osthus and Taylor,
this gives a minimum degree condition sufficient to ensure the existence of a
(non-fractional) $K_r$-decomposition in a balanced $r$-partite graph (subject
to the same simple necessary conditions). | Source: | arXiv, 1603.1039 | Services: | Forum | Review | PDF | Favorites |
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