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Locally regular coloured graphs

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Abstract

In this work we introduce the concept of locally regular coloured graph as a generalization to any dimension of the concept of regularity for maps on surfaces of W. Threlfall. We prove that locally regular coloured graphs can be obtained from the classical spherical, euclidean and hyperbollic tessellations. Finally we describe locally regular coloured graphs on spherical 3-manifolds.

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Authors and Affiliations

  1. Departamento de Matematicas Fundamentales Facultad de Ciencias, U.N.E.D., 28040, Madrid, Spain

    Antonio F. Costa

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  1. Antonio F. Costa
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Partially supported by British-Spanish Join Research Program and DGICYT.

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Costa, A.F. Locally regular coloured graphs. J Geom 43, 57–74 (1992). https://doi.org/10.1007/BF01245943

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  • DOI: https://doi.org/10.1007/BF01245943

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