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DM
2007
84views more  DM 2007»
13 years 7 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»
13 years 7 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»
13 years 7 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
14 years 2 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