A note on Cunningham's algorithm for matroid intersection
April 08, 2019 Β· Declared Dead Β· π 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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