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The Lovász Local Lemma (LLL) is a powerful tool that gives sufficient conditions for avoiding all of a given set of "bad" events, with positive probability. A series of results have provided algorithms to efficiently construct structures whose existence is non-constructively guaranteed by the LLL, culminating in the recent breakthrough of Moser & Tardos. We show that the output distribution...
A fundamental problem in wireless networks is to estimate its throughput capacity - given a set of wireless nodes, and a set of connections, what is the maximum rate at which data can be sent on these connections. Most of the research in this direction has focused on either random distributions of points, or has assumed simple graph-based models for wireless interference. In this paper, we study capacity...
The success of the Internet owes immensely to the hierarchical architecture of domain name system (DNS) that maps domain names to IP addresses. DNS servers that implement this mapping and provide lookup services rely heavily on caching of IP addresses for enhancing the lookup performance. It turns out that the caching of IP addresses of other DNS servers is more beneficial than the caching of IP addresses...
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