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» Extending a matroid by a cocircuit
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128
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IOR
2011
96views more  IOR 2011»
14 years 5 months ago
An Ascending Vickrey Auction for Selling Bases of a Matroid
Consider selling bundles of indivisible goods to buyers with concave utilities that are additively separable in money and goods. We propose an ascending auction for the case when ...
Sushil Bikhchandani, Sven de Vries, James Schummer...
68
Voted
IPCO
2007
66views Optimization» more  IPCO 2007»
15 years 3 months ago
Maximizing a Submodular Set Function Subject to a Matroid Constraint (Extended Abstract)
Gruia Calinescu, Chandra Chekuri, Martin Pá...
123
Voted
JCT
2010
85views more  JCT 2010»
15 years 10 days ago
On inequivalent representations of matroids over non-prime fields
Abstract. For each finite field F of prime order there is a constant c such that every 4-connected matroid has at most c inequivalent representations over F. We had hoped that th...
Jim Geelen, Bert Gerards, Geoff Whittle
120
Voted
ICALP
2009
Springer
16 years 2 months ago
Algorithms for Secretary Problems on Graphs and Hypergraphs
We examine several online matching problems, with applications to Internet advertising reservation systems. Consider an edge-weighted bipartite graph G, with partite sets L, R. We...
Martin Pál, Nitish Korula
98
Voted
CCCG
2001
15 years 3 months ago
Complete combinatorial generation of small point configurations and hyperplane arrangements
A recent progress on the complete enumeration of oriented matroids enables us to generate all combinatorial types of small point configurations and hyperplane arrangements in gene...
Lukas Finschi, Komei Fukuda