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Approximation in (Poly-) Logarithmic Space

2020
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International Symposium on Mathematical Foundations of Computer Science
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We develop new approximation algorithms for classical graph and set problems in the RAM model under space constraints. As one of our main results, we devise an algorithm for d–Hitting Set that runs in time n^{O(d² + (d / ε))}, uses O(d² + (d / ε) log n) bits of space, and achieves an approximation ratio of O((d / ε) n^ε) for any positive ε ≤ 1 and any constant d ∈ ℕ. In particular, this yields a factor-O(d log n) approximation algorithm which uses O(log² n) bits of space. As a corollary, we

doi:10.4230/lipics.mfcs.2020.16
dblp:conf/mfcs/00010020
fatcat:zlbrpgx7qzdgbbkb5azgzgqocy