Uncountable graphs with all their vertices in one face |
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| Authors: | Luis Boza Eugenio M Fedriani Juan Núńez |
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| Institution: | (1) Departamento de Matemática Aplicada I, Universidad de Sevilla, Avda Reina Mercedes 2, 41012-Sevilla;(2) Departamento de Economía, Métodos Cuantitativos e Historia Económica, Universidad Pablo de Olavide, Ctra. de Utrera, Km. 1, 41013-Sevilla;(3) Departamento de Geometría y Topología, Universidad de Sevilla, Apdo. 1160, 41080-Sevilla |
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| Abstract: | 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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| Keywords: | uncountable graph graph embeddings outerplanar surface |
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