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arxiv: 1003.1079 · v1 · submitted 2010-03-04 · 🧮 math.OC · math.CO

On the Caratheodory rank of polymatroid bases

classification 🧮 math.OC math.CO
keywords basesrankboundedcarathcaratheodorycardinalityeodoryground
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In this paper we prove that the Carath\'eodory rank of the set of bases of a (poly)matroid is upper bounded by the cardinality of the ground set.

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