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Optimal matching and deterministic sampling
Dissertation   Open access

Optimal matching and deterministic sampling

Jeff Abrahamson
Doctor of Philosophy (Ph.D.), Drexel University
02 Nov 2007
DOI:
https://doi.org/10.17918/etd-2526
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Abstract

Computer Algorithms Computer Science Mathematics
Randomness is a fundamental problem in theoretical computer science. This research considers two questions concerning randomness. First, it examines some extremal point matching problems, exploring the dependence of matching weight with partition cardinality in vertex-weighted bipartite graphs. Second, it considers the problem of subset selection, providing several deterministic algorithms for point selection that are as good as or better than random subset selection according to various criteria.

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