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» Extending a matroid by a cocircuit
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IOR
2011
96views more  IOR 2011»
13 years 1 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...
JCT
2010
85views more  JCT 2010»
13 years 8 months 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
ICALP
2009
Springer
14 years 10 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
CCCG
2001
13 years 11 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