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Natural cycletrees: Flexible interconnection graphs
Uppsala universitet, Teknisk-naturvetenskapliga vetenskapsområdet, Matematisk-datavetenskapliga sektionen, Institutionen för ADB och datalogi.
Uppsala universitet, Teknisk-naturvetenskapliga vetenskapsområdet, Matematisk-datavetenskapliga sektionen, Institutionen för ADB och datalogi.
1996 (engelsk)Inngår i: Journal of Parallel and Distributed Computing, ISSN 0743-7315, E-ISSN 1096-0848, Vol. 33, nr 1, s. 44-54Artikkel i tidsskrift (Fagfellevurdert) Published
Abstract [en]

Natural cycletrees, formally defined in this paper, is a subclass of Hamiltonian graphs with maximum degree 3 that contain a binary spanning tree. A natural cycletree used as an interconnection network thus supports directly broadcasting through the binary tree as well as nearest-neighbor communication through the cycle. Natural cycletrees have several other interesting properties; e.g., they are planar, easily extensible, and can be contracted using the same methods as for binary trees. The main results of the paper are: (i) Given an arbitrary basic binary spanning treeT, there exists a natural cycletree with a minimal number of edges forT. (ii) A natural cycletree has a very simple router. We give a superfast parallel algorithm that can establish near optimal router data for that router.

sted, utgiver, år, opplag, sider
1996. Vol. 33, nr 1, s. 44-54
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URN: urn:nbn:se:uu:diva-27249DOI: 10.1006/jpdc.1996.0023OAI: oai:DiVA.org:uu-27249DiVA, id: diva2:55143
Tilgjengelig fra: 2008-10-17 Laget: 2008-10-17 Sist oppdatert: 2017-12-07bibliografisk kontrollert

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