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Uncountable graphs with all their vertices in one face

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Summary

In 1967, Chartrand and Harary characterized finite outer-planar graphs, and Wagner studied uncountable graphs admitting a planar embedding. We continue this research for those outer-S graphs in surfaces S by studying uncountable graphs admitting S-embeddings with all their vertices in the same face (namely, outer-S embeddings).

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Authors and Affiliations

  1. Departamento de Matemática Aplicada I, Universidad de Sevilla, Avda Reina Mercedes 2, 41012-Sevilla

    Luis Boza

  2. Departamento de Economía, Métodos Cuantitativos e Historia Económica, Universidad Pablo de Olavide, Ctra. de Utrera, Km. 1, 41013-Sevilla

    Eugenio M. Fedriani

  3. Departamento de Geometría y Topología, Universidad de Sevilla, Apdo. 1160, 41080-Sevilla

    Juan Núńez

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  1. Luis Boza
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  2. Eugenio M. Fedriani
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  3. Juan Núńez
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Boza, L., Fedriani, E. & Núńez, J. Uncountable graphs with all their vertices in one face. Acta Math Hung 112, 307–313 (2006). https://doi.org/10.1007/s10474-006-0082-0

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  • DOI: https://doi.org/10.1007/s10474-006-0082-0

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