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» On basis-exchange properties for matroids
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APPROX
2009
Springer
138views Algorithms» more  APPROX 2009»
14 years 25 days ago
Submodular Maximization over Multiple Matroids via Generalized Exchange Properties
Submodular-function maximization is a central problem in combinatorial optimization, generalizing many important NP-hard problems including Max Cut in digraphs, graphs and hypergr...
Jon Lee, Maxim Sviridenko, Jan Vondrák
COMBINATORICS
2006
92views more  COMBINATORICS 2006»
13 years 6 months ago
Equitable Matroids
One way to choose a basis of a matroid at random is to choose an ordering of the ground set uniformly at random and then use the greedy algorithm to find a basis. We investigate t...
Dillon Mayhew
DM
2010
108views more  DM 2010»
13 years 6 months ago
Internally 4-connected binary matroids with cyclically sequential orderings
We characterize all internally 4-connected binary matroids M with the property that the ground set of M can be ordered (e0, . . . , en-1) in such a way that {ei, . . . , ei+t} is 4...
Jeremy Aikin, Carolyn Chun, Rhiannon Hall, Dillon ...
CORR
2010
Springer
80views Education» more  CORR 2010»
13 years 6 months ago
Separations of Matroid Freeness Properties
Properties of Boolean functions on the hypercube that are invariant with respect to linear transformations of the domain are among some of the most well-studied properties in the ...
Arnab Bhattacharyya, Elena Grigorescu, Jakob Nords...
CPC
2006
56views more  CPC 2006»
13 years 6 months ago
Rayleigh Matroids
A Rayleigh matroid is one which satisfies a set of inequalities analogous to the Rayleigh monotonicity property of linear resistive electrical networks. We show that every matroid...
Youngbin Choe, David G. Wagner