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Two new classes of trees embeddable into hypercubes

Published online by Cambridge University Press:  15 December 2004

Mounira Nekri  and
Abdelhafid Berrachedi
Mounira Nekri
Affiliation:
Centre de Recherche en Information Scientifique et Technique CERIST, 3 rue des frères Aissou, Ben Aknoun Alger, Algeria; m_nekri@hotmail.com, mnekri@mail.cerist.dz.
Abdelhafid Berrachedi
Affiliation:
Faculté des Mathématiques, USTHB BP 32 El Alia, 16111 Bab Ezzouar, Alger, Algeria; abdelhafid_berrachedi@yahoo.fr.
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Abstract

The problem of embedding graphs into other graphs is much studied in thegraph theory. In fact, much effort has been devoted to determining theconditions under which a graph G is a subgraph of a graph H, having aparticular structure. An important class to study is the set of graphs whichare embeddable into a hypercube. This importance results from the remarkableproperties of the hypercube and its use in several domains, such as: thecoding theory, transfer of information, multicriteria rule, interconnectionnetworks ...In this paper we are interested in defining two new classes of embeddingtrees into the hypercube for which the dimension is given.

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Type
Research Article
Information
RAIRO - Operations Research , Volume 38 , Issue 4 , October 2004 , pp. 295 - 303
Copyright
© EDP Sciences, 2004

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