A note on Cunningham's algorithm for matroid intersection

April 08, 2019 Β· Declared Dead Β· πŸ› arXiv.org

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Authors Huy L. Nguyen arXiv ID 1904.04129 Category cs.DS: Data Structures & Algorithms Citations 17 Venue arXiv.org Last Checked 3 months ago
Abstract
In the matroid intersection problem, we are given two matroids of rank $r$ on a common ground set $E$ of $n$ elements and the goal is to find the maximum set that is independent in both matroids. In this note, we show that Cunningham's algorithm for matroid intersection can be implemented to use $O(nr\log^2(r))$ independent oracle calls.
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