À propos de cet article
Publié en ligne: 21 sept. 2017
Pages: 185 - 199
Reçu: 01 avr. 2016
Accepté: 01 avr. 2016
DOI: https://doi.org/10.1515/auom-2017-0029
Mots clés
© 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.