Séminaire Mathématique de Béjaia
Volume 11, Numéro 1, Pages 39-41
2012-12-31

Embedding Balanced Binary Trees In Hypercube



Auteurs : Kabyl Kamal .

Résumé

The hypercube is a structure whose topology is used in different fields such as computer science, combinatorics, code theory, etc. Thus, the study of spanning of graphs in the hypercube has received much interest these later years. The problem consist of giving the smallest dimension of a hypercube in which a given graph is embeddable. We talk then about optimal hypercube and cubical dimension of the graph. Arfati et al. [1] have proved that the problem of deciding if a graph is embeddable in a hypercube of a given dimension is NP-complete, Corneil and Wagner [2] have shown that this problem is NP-complete even in the case where G is a tree. In this paper, we introduce two new classes of balanced binary trees for which the cubical dimension is given.

Mots clés

Hypercubes,Trees, Embedding, Isomorphism.

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