Optimal Per-Edge Processing Times in the Semi-Streaming Model

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dc.creatorZelke, Mariano
dc.date2007-08-31
dc.date.accessioned2026-07-07T08:26:51Z
dc.date.available2026-07-07T08:26:51Z
dc.descriptionWe present semi-streaming algorithms for basic graph problems that have optimal per-edge processing times and therefore surpass all previous semi-streaming algorithms for these tasks. The semi-streaming model, which is appropriate when dealing with massive graphs, forbids random access to the input and restricts the memory to O(n*polylog n) bits. Particularly, the formerly best per-edge processing times for finding the connected components and a bipartition are O(alpha(n)), for determining k-vertex and k-edge connectivity O(k^2n) and O(n*log n) respectively for any constant k and for computing a minimum spanning forest O(log n). All these time bounds we reduce to O(1). Every presented algorithm determines a solution asymptotically as fast as the best corresponding algorithm up to date in the classical RAM model, which therefore cannot convert the advantage of unlimited memory and random access into superior computing times for these problems.
dc.description8 pages, 1 table
dc.identifierhttps://arxiv.org/abs/0708.4284
dc.identifierhttp://arxiv.org/abs/0708.4284
dc.identifierInformation Processing Letters, Volume 104, Issue 3, 2007, Pages 106-112
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/137086
dc.subjectDiscrete Mathematics
dc.subjectData Structures and Algorithms
dc.subjectF.2.2; G.2.2
dc.titleOptimal Per-Edge Processing Times in the Semi-Streaming Model
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