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DM
2007
84views more  DM 2007»
14 years 11 months ago
Matroids on convex geometries (cg-matroids)
We consider matroidal structures on convex geometries, which we call cg-matroids. The concept of a cg-matroid is closely related to but different from that of a supermatroid intro...
Satoru Fujishige, Gleb A. Koshevoy, Yoshio Sano
TIT
2008
147views more  TIT 2008»
14 years 11 months ago
On Codes, Matroids, and Secure Multiparty Computation From Linear Secret-Sharing Schemes
Error-correcting codes and matroids have been widely used in the study of ordinary secret sharing schemes. In this paper, the connections between codes, matroids, and a special cla...
Ronald Cramer, Vanesa Daza, Ignacio Gracia, Jorge ...
CORR
2010
Springer
111views Education» more  CORR 2010»
14 years 12 months ago
Submodular Maximization by Simulated Annealing
We consider the problem of maximizing a nonnegative (possibly non-monotone) submodular set function with or without constraints. Feige et al. [9] showed a 2/5-approximation for th...
Shayan Oveis Gharan, Jan Vondrák
FOCS
2009
IEEE
15 years 6 months ago
Symmetry and Approximability of Submodular Maximization Problems
Abstract— A number of recent results on optimization problems involving submodular functions have made use of the ”multilinear relaxation” of the problem [3], [8], [24], [14]...
Jan Vondrák