On the dimension of Archimedean solids

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.

Bibliographic Details
Main Authors:	Tomáš Madaras, Pavol Široczki
Format:	Article
Language:	English
Published:	AGH Univeristy of Science and Technology Press 2014-01-01
Series:	Opuscula Mathematica
Subjects:	Archimedean solid unit-distance graph dimension of a graph
Online Access:	http://www.opuscula.agh.edu.pl/vol34/1/art/opuscula_math_3408.pdf

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spelling	doaj-20e4d633509c40a08038d7bf04fefa392020-11-24T21:09:32ZengAGH Univeristy of Science and Technology PressOpuscula Mathematica1232-92742014-01-01341123138http://dx.doi.org/10.7494/OpMath.2014.34.1.1233408On the dimension of Archimedean solidsTomáš Madaras0Pavol Široczki1Institute of Mathematics, Faculty of Sciences, University of P. J. Šafárik, Jesenná 5, 041 54 Košice, Slovak RepublicInstitute of Mathematics, Faculty of Sciences, University of P. J. Šafárik, Jesenná 5, 041 54 Košice, Slovak RepublicWe 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.http://www.opuscula.agh.edu.pl/vol34/1/art/opuscula_math_3408.pdfArchimedean solidunit-distance graphdimension of a graph
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Tomáš Madaras Pavol Široczki
spellingShingle	Tomáš Madaras Pavol Široczki On the dimension of Archimedean solids Opuscula Mathematica Archimedean solid unit-distance graph dimension of a graph
author_facet	Tomáš Madaras Pavol Široczki
author_sort	Tomáš Madaras
title	On the dimension of Archimedean solids
title_short	On the dimension of Archimedean solids
title_full	On the dimension of Archimedean solids
title_fullStr	On the dimension of Archimedean solids
title_full_unstemmed	On the dimension of Archimedean solids
title_sort	on the dimension of archimedean solids
publisher	AGH Univeristy of Science and Technology Press
series	Opuscula Mathematica
issn	1232-9274
publishDate	2014-01-01
description	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.
topic	Archimedean solid unit-distance graph dimension of a graph
url	http://www.opuscula.agh.edu.pl/vol34/1/art/opuscula_math_3408.pdf
work_keys_str_mv	AT tomasmadaras onthedimensionofarchimedeansolids AT pavolsiroczki onthedimensionofarchimedeansolids
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On the dimension of Archimedean solids

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