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arxiv: math/0309083 · v1 · submitted 2003-09-05 · 🧮 math.CO · cs.DM· math.OC

Convex Combinatorial Optimization

classification 🧮 math.CO cs.DMmath.OC
keywords combinatorialoptimizationconvexproblemapplicationsdiscussedge-guaranteedfamily
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We introduce the convex combinatorial optimization problem, a far reaching generalization of the standard linear combinatorial optimization problem. We show that it is strongly polynomial time solvable over any edge-guaranteed family, and discuss several applications.

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