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Discrete Polymatroids

2003/07/17 by Juergen Herzog, Takayuki Hibi, Herzog, Juergen +1
Mathematics · #13H10 #13P10 #14M25 #52B40 #Combinatorics (math.CO) #Commutative Algebra (math.AC) #FOS: Mathematics #math.AC #math.CO #msc:13H10 #msc:13P10 #msc:14M25 #msc:52B40

paper · pdf · doi:10.48550/arxiv.math/0307236

arxiv created 2003/07/17 · arxiv updated 2009/12/01

Abstract

The discrete polymatroid is a multiset analogue of the matroid. Based on the polyhedral theory on integral polymatroids developed in late 1960's and in early 1970's, in the present paper the combinatorics and algebra on discrete polymatroids will be studied.

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