Hexagonal Tilings and Locally C6 Graphs

Details Hexagonal Tilings and Locally C6 Graphs Hexagonal Tilings and Locally C6 Graphs

2005-12-14

arxiv.org/abs/math/0512332v1

Mathematics

Combinatorics

14 figures

Scientific paper

We give a complete classification of hexagonal tilings and locally C6 graphs, by showing that each of them has a natural embedding in the torus or in the Klein bottle. We also show that locally grid graphs are minors of hexagonal tilings (and by duality of locally C6 graphs) by contraction of a perfect matching and deletion of the resulting parallel edges, in a form suitable for the study of their Tutte uniqueness.

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