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FOCS
2008
IEEE
13 years 11 months ago
Submodular Approximation: Sampling-based Algorithms and Lower Bounds
We introduce several generalizations of classical computer science problems obtained by replacing simpler objective functions with general submodular functions. The new problems i...
Zoya Svitkina, Lisa Fleischer
FOCS
2008
IEEE
13 years 5 months ago
On the Approximability of Budgeted Allocations and Improved Lower Bounds for Submodular Welfare Maximization and GAP
In this paper we consider the following maximum budgeted allocation (MBA) problem: Given a set of m indivisible items and n agents; each agent i willing to pay bij on item j and w...
Deeparnab Chakrabarty, Gagan Goel
FOCS
2009
IEEE
13 years 11 months ago
Approximability of Combinatorial Problems with Multi-agent Submodular Cost Functions
Abstract— Applications in complex systems such as the Internet have spawned recent interest in studying situations involving multiple agents with their individual cost or utility...
Gagan Goel, Chinmay Karande, Pushkar Tripathi, Lei...
STOC
2005
ACM
146views Algorithms» more  STOC 2005»
14 years 5 months ago
Approximation algorithms for combinatorial auctions with complement-free bidders
We exhibit three approximation algorithms for the allocation problem in combinatorial auctions with complement free bidders. The running time of these algorithms is polynomial in ...
Shahar Dobzinski, Noam Nisan, Michael Schapira
SIGECOM
2008
ACM
155views ECommerce» more  SIGECOM 2008»
13 years 4 months ago
Tight information-theoretic lower bounds for welfare maximization in combinatorial auctions
We provide tight information-theoretic lower bounds for the welfare maximization problem in combinatorial auctions. In this problem, the goal is to partition m items among k bidde...
Vahab S. Mirrokni, Michael Schapira, Jan Vondr&aac...