Apr 27, 2020 · Huang, Loh, and Sudakov proved this conjecture for t<n/(3k^2). In this paper, we show that this conjecture holds for t\le n/(2k) and n ...
A better bound on the size of rainbow matchings - ScienceDirect
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A matching in a hypergraph H is a subset of E ( H ) consisting of pairwise disjoint edges. The maximal size of a matching in a hypergraph H is denoted by ν ( H ) ...
In this paper, we show in Theorem 1.3 that Conjecture 1.1 holds when and t is sufficiently large.
Feb 19, 2021 · A set of pairwise disjoint edges, one from each Fi, is called a rainbow matching for F. In this case, we also say that F or {F1,...,Ft} admits a ...
Since we work with balanced (1, )-graphs, we need to make sure that each random graph is balanced. In order to achieve this, we modify the randomization process ...
An Improved Bound on the Sizes of Matchings Guaranteeing a ...
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Apr 15, 2016 · In this paper we prove that matching sizes of (32+o(1))n ( 3 2 + o ( 1 ) ) n suffice to guarantee such a rainbow matching, which is ...
Huang, Loh, and Sudakov proved this conjecture for $t<n/(3k^2)$. In this paper, we show that this conjecture holds for $t\le n/(2k)$ and $n$ sufficiently large.
Return to Article Details An Improved Bound on the Sizes of Matchings Guaranteeing a Rainbow Matching Download Download PDF. Thumbnails Document Outline
In the mathematical discipline of graph theory, a rainbow matching in an edge-colored graph is a matching in which all the edges have distinct colors.
Oct 7, 2021 · Ehrenmüller, An improved bound on the sizes of matchings guaranteeing a rainbow matching, Electron. J. Combin. 23 (2016), no. 2. [10] D.M. ...