Choice functions in the intersection of matroids

Joseph Briggs; Minki Kim

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arXiv · 1905.00043

Choice functions in the intersection of matroids

Joseph Briggs·Minki Kim

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Abstract

We prove a common generalization of two results, one on rainbow fractional matchings and one on rainbow sets in the intersection of two matroids: Given $d = r \lceil k \rceil - r + 1$ functions of size (=sum of values) $k$ that are all independent in each of $r$ given matroids, there exists a rainbow set of $supp(f_i)$, $i \leq d$, supporting a function with the same properties.

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BibTeX RIS

Joseph Briggs, Minki Kim. 2019-07-02. Choice functions in the intersection of matroids. https://arxiv.org/abs/1905.00043

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