1,721,004 research outputs found
Fast distributed algorithms for (weakly) connected dominating sets and linear-size skeletons
No full textMotivated by routing issues in ad hoc networks, we present polylogarithmic-time distributed algorithms for two problems. Given a network, we first show how to compute connected and weakly connected dominating sets whose size is at most O (log A) times the optimum, A being the maximum degree of the input network. This is best-possible if NP not subset of DTIME[n(O(log log n))] and if the processors are required to run in polynomial-time. We then show how to construct dominating sets that have the above properties, as well as the "low stretch" property that any two adjacent nodes in the network have their dominators at a distance of at most O (log n) in the output network. (Given a dominating set S, a dominator of a vertex u is any nu epsilon S such. that the distance between u and v is at most one.) We also show our time bounds to be essentially optimal. (c) 2005 Elsevier Inc. All rights reserved
Singularities and Cognitive Computing
No full textAdvances in Artificial Intelligence (AI)/Machine Learning (ML) have led to discussions about singularities: the economic singularity when AI displaces human jobs and the technological singularity when AI surpasses human capabilities in general intelligence. We seek to clarify some issues in the discussion
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