Polymatroid

In mathematics, polymatroid is a polytope associated with a submodular function. The notion was introduced by Jack Edmonds in 1970.
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2015
2015
Consider a gambler and a prophet who observe a sequence of independent, non-negative numbers. The gambler sees the numbers one-by… (More)
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2014
2014
Many important optimization problems, such as the minimum spanning tree and minimum-cost flow, can be solved optimally by a… (More)
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2012
2012
In this paper we consider the problem of maximizing a separable concave function over a polymatroid. More specifically, we study… (More)
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2009
2009
Let f : 2 → Z be a polymatroid (an integer-valued non-decreasing submodular set function with f(∅) = 0). A base ofN is a subsetS… (More)
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2008
2008
HAL is a multi-disciplinary open access archive for the deposit and dissemination of scientific research documents, whether they… (More)
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2005
2005
The Steiner tree problem asks for a minimum cost tree spanning a given set of terminalsS ⊆ V in a weighted graphG = (V, E, c), c… (More)
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2002
2002
Given m matroids M1, . . . , Mm on the common ground set V , it is shown that all maximal subsets of V , independent in the m… (More)
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Highly Cited
1999
Highly Cited
1999
The concept of M-convex function, introduced recently by Murota, is a quantitative generalization of the set of integral points… (More)
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1999
1999
We give an optimal bound on the number of transitions of the minimum weight base of an integer valued parametric polymatroid… (More)
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Highly Cited
1998
Highly Cited
1998
In multiaccess wireless systems, dynamic allocation of resources such as transmit power, bandwidths, and rates is an important… (More)
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