Abstract

A set of intervals is independent when the intervals are pairwise disjoint. In the interval selection problem, we are given a set \(\mathbb I\) of intervals and we want to find an independent subset of intervals of largest cardinality, denoted \(\alpha (\mathbb I)\). We discuss the estimation of \(\alpha (\mathbb I)\) in the streaming model, where we only have one-time, sequential access to \(\mathbb I\), the endpoints of the intervals lie in \(\{ 1,\dots ,n \}\), and the amount of the memory is constrained.

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