Abstract:In this article we will be discussing the utilization of decomposition and reduction for development of algorithms. We will
assume that a given problem instance can be somehow broken up into two smaller instances that can be solved separately.
As a special case of decomposition we will define a reduction, i.e. such a decomposition that one of the resulting instances
is trivial. We will define several versions of decomposition and reduction in a hierarchical way. Different kinds will be
distinguished by their a… Show more
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