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Publicado en línea: 21 sept 2017
Páginas: 185 - 199
Recibido: 01 abr 2016
Aceptado: 01 abr 2016
DOI: https://doi.org/10.1515/auom-2017-0029
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© 2017
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.
Gallai in 1966 raised the question about the existence of graphs with the property that every vertex is missed by some longest path. This property will be called Gallai’s property. In this paper we present some graphs embeddable into Archimedean tiling graphs, with both connectivity 1 and 2, satisfying Gallai’s property.