Opuscula Mathematica
Opuscula Math. 34, no. 1 (2014), 123-138

On the dimension of Archimedean solids

Tomáš Madaras
Pavol Široczki
Abstract. We study the dimension of graphs of the Archimedean solids. For most of these graphs we find the exact value of their dimension by finding unit-distance embeddings in the euclidean plane or by proving that such an embedding is not possible.
Keywords: Archimedean solid, unit-distance graph, dimension of a graph.
Mathematics Subject Classification: 05C10.
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About the authors ▼
Tomáš Madaras
Institute of Mathematics, Faculty of Sciences, University of P. J. Šafárik, Jesenná 5, 041 54 Košice, Slovak Republic
Pavol Široczki
Institute of Mathematics, Faculty of Sciences, University of P. J. Šafárik, Jesenná 5, 041 54 Košice, Slovak Republic
About the article ▼
Received: 2013-03-15.
Revised: 2013-09-09.
Accepted: 2013-09-09.
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Tomáš Madaras, Pavol Široczki, On the dimension of Archimedean solids, Opuscula Math. 34, no. 1 (2014), 123-138, http://dx.doi.org/10.7494/OpMath.2014.34.1.123.
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