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arxiv: math/0207136 · v1 · pith:BEABIHOUnew · submitted 2002-07-16 · 🧮 math.CO · cs.DM· math.OC· math.RA

Convex Matroid Optimization

classification 🧮 math.CO cs.DMmath.OCmath.RA
keywords convexmatroidassignmentbasescapturescertainclusteringconsider
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We consider a problem of optimizing convex functionals over matroid bases. It is richly expressive and captures certain quadratic assignment and clustering problems. While generally NP-hard, we show it is polynomial time solvable when a suitable parameter is restricted.

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