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The spectral relation between the cube-connected cycles and the shuffle-exchange network

dc.contributor.authorRiess, Christian
dc.contributor.authorStrehl, Volker
dc.contributor.authorWanka, Rolf
dc.contributor.editorMühl, Gero
dc.contributor.editorRichling, Jan
dc.contributor.editorHerkersdorf, Andreas
dc.date.accessioned2019-10-30T12:50:21Z
dc.date.available2019-10-30T12:50:21Z
dc.date.issued2012
dc.description.abstractWe investigate the relation between the spectral sets (i. e., the sets of eigenvalues, disregarding multiplicities) of two d-dimensional networks popular in parallel computing: the Cube-Connected Cycles network CCC(d) and the Shuffle-Exchange network SE(d). We completely characterize their spectral sets. Additionally, it turns out that for any odd d, the SE(d)-eigenvalues set is precisely the same as the CCC(d)- eigenvalues set. For any even d, however, the SE(d)-eigenvalues form a proper subset of the set of CCC(d)-eigenvalues.en
dc.identifier.isbn978-3-88579-294-9
dc.identifier.pissn1617-5468
dc.identifier.urihttps://dl.gi.de/handle/20.500.12116/29520
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.titleThe spectral relation between the cube-connected cycles and the shuffle-exchange networken
dc.typeText/Conference Paper
gi.citation.endPage516
gi.citation.publisherPlaceBonn
gi.citation.startPage505
gi.conference.date28. Februar-2. März 2012
gi.conference.locationMünchen
gi.conference.sessiontitleRegular Research Papers

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