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- W4301772249 abstract "We study streaming algorithms for the interval selection problem: finding a maximum cardinality subset of disjoint intervals on the line. A deterministic 2-approximation streaming algorithm for this problem is developed, together with an algorithm for the special case of proper intervals, achieving improved approximation ratio of 3/2. We complement these upper bounds by proving that they are essentially best possible in the streaming setting: it is shown that an approximation ratio of $2 - epsilon$ (or $3 / 2 - epsilon$ for proper intervals) cannot be achieved unless the space is linear in the input size. In passing, we also answer an open question of Adler and Azar cite{AdlerAzar03} regarding the space complexity of constant-competitive randomized preemptive online algorithms for the same problem." @default.
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- W4301772249 date "2012-02-20" @default.
- W4301772249 modified "2023-10-18" @default.
- W4301772249 title "Space-Constrained Interval Selection" @default.
- W4301772249 doi "https://doi.org/10.48550/arxiv.1202.4326" @default.
- W4301772249 hasPublicationYear "2012" @default.
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