The minimum forcing number of perfect matchings in the hypercube
نویسندگان
چکیده
منابع مشابه
Tight Minimum Degree Conditions Forcing Perfect Matchings in Uniform Hypergraphs
Given positive integers k and ` where k/2 ≤ ` ≤ k− 1, we give a minimum `-degree condition that ensures a perfect matching in a kuniform hypergraph. This condition is best possible and improves on work of Pikhurko [12] who gave an asymptotically exact result, and extends work of Rödl, Ruciński and Szemerédi [15] who determined the threshold for ` = k−1. Our approach makes use of the absorbing m...
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ژورنال
عنوان ژورنال: Discrete Mathematics
سال: 2019
ISSN: 0012-365X
DOI: 10.1016/j.disc.2018.12.011