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arxiv: 1502.04301 · v3 · pith:X7B7WDXBnew · submitted 2015-02-15 · 🧮 math.OC · cs.DM· cs.DS· math.CO

The Unimodular Intersection Problem

classification 🧮 math.OC cs.DMcs.DSmath.CO
keywords graphunimodularbipartitedirecteddonefindinggenerallyholds
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We show that finding minimally intersecting $n$ paths from $s$ to $t$ in a directed graph or $n$ perfect matchings in a bipartite graph can be done in polynomial time. This holds more generally for unimodular set systems.

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