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Chapter and Conference Paper
Integrality Gaps of Linear and Semi-Definite Programming Relaxations for Knapsack
In this paper, we study the integrality gap of the Knapsack linear program in the Sherali-Adams and Lasserre hierarchies. First, we show that an integrality gap of 2 – ε persists up to a linear number of rounds o...
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Chapter and Conference Paper
Mechanism Design for Fun and Profit
The emergence of the Internet as one of the most important arenas for resource sharing between parties with diverse and selfish interests has led to a number of fascinating and new algorithmic problems. In the...
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Chapter and Conference Paper
Truthful and Competitive Double Auctions
In this paper we consider the problem of designing a mechanism for double auctions where bidders each bid to buy or sell one unit of a single commodity. We assume that each bidder’s utility value for the item ...
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Chapter and Conference Paper
Spectral Analysis for Data Mining
Experimental evidence suggests that spectral techniques are valuable for a wide range of applications. A partial list of such applications include (i) semantic analysis of documents used to cluster documents i...