The lattice dimension of a tree

Details The lattice dimension of a tree The lattice dimension of a tree

2004-02-15

arxiv.org/abs/math/0402246v1

Mathematics

Combinatorics

3 pages

Scientific paper

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 $\lceil n/2 \rceil$.

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