The lattice dimension of a tree

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The lattice dimension of a graph G is the minimal dimension of a cubic lattice in which G can be isometrically embedded. We prove that the lattice dimension of a tree with n leaves is $\lceil n/2 \rceil$.
3 pages

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Combinatorics, 05C05

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http://salesiana.dossiersoluciones.com/handle/123456789/70178

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0402246
 http://arxiv.org/abs/math/0402246

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arXiv