TY - GEN

T1 - Space-constrained interval selection

AU - Emek, Yuval

AU - Halldórsson, Magnús M.

AU - Rosén, Adi

PY - 2012

Y1 - 2012

N2 - 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 - ε (or 3 / 2 - ε 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 [1] regarding the space complexity of constant-competitive randomized preemptive online algorithms for the same problem.

AB - 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 - ε (or 3 / 2 - ε 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 [1] regarding the space complexity of constant-competitive randomized preemptive online algorithms for the same problem.

UR - http://www.scopus.com/inward/record.url?scp=84883823142&partnerID=8YFLogxK

U2 - 10.1007/978-3-642-31594-7_26

DO - 10.1007/978-3-642-31594-7_26

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AN - SCOPUS:84883823142

SN - 9783642315930

T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

SP - 302

EP - 313

BT - Automata, Languages, and Programming - 39th International Colloquium, ICALP 2012, Proceedings

T2 - 39th International Colloquium on Automata, Languages, and Programming, ICALP 2012

Y2 - 9 July 2012 through 13 July 2012

ER -