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I/O-efficient approximation of graph diameters by parallel cluster growing – a first experimental study

dc.contributor.authorAjwani, Deepak
dc.contributor.authorBeckmann, Andreas
dc.contributor.authorMeyer, Ulrich
dc.contributor.authorVeith, David
dc.contributor.editorMühl, Gero
dc.contributor.editorRichling, Jan
dc.contributor.editorHerkersdorf, Andreas
dc.date.accessioned2019-10-30T12:50:20Z
dc.date.available2019-10-30T12:50:20Z
dc.date.issued2012
dc.description.abstractA fundamental step in the analysis of a massive graph is to compute its diameter. In the RAM model, the diameter of a connected undirected unweighted graph can be efficiently 2-approximated using a Breadth-First Search (BFS) traversal from an arbitrary node. However, if the graph is stored on disk, even an external memory BFS traversal is prohibitive, owing to the large number of I/Os it incurs. Meyer [Mey08] proposed a parametrized algorithm to compute an approximation of graph diameter with fewer I/Os than that required for exact BFS traversal of the graph. The approach is based on growing clusters around randomly chosen vertices `in parallel' until their fringes meet. We present an implementation of this algorithm and compare it with some simple heuristics and external-memory BFS in order to determine the trade-off between the approximation ratio and running-time achievable in practice. Our experiments show that with carefully chosen parameters, the new approach is indeed capable to produce surprisingly good diameter approximations in shorter time. We also confirm experimentally, that there are graph-classes where the parametrized approach runs into bad approximation ratios just as the theoretical analysis in [Mey08] suggests.en
dc.identifier.isbn978-3-88579-294-9
dc.identifier.pissn1617-5468
dc.identifier.urihttps://dl.gi.de/handle/20.500.12116/29519
dc.language.isoen
dc.publisherGesellschaft für Informatik e.V.
dc.relation.ispartofARCS 2012 Workshops
dc.relation.ispartofseriesLecture Notes in Informatics (LNI) - Proceedings, Volume P-200
dc.titleI/O-efficient approximation of graph diameters by parallel cluster growing – a first experimental studyen
dc.typeText/Conference Paper
gi.citation.endPage504
gi.citation.publisherPlaceBonn
gi.citation.startPage493
gi.conference.date28. Februar-2. März 2012
gi.conference.locationMünchen
gi.conference.sessiontitleRegular Research Papers

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