About this article
Published Online: Sep 21, 2017
Page range: 185 - 199
Received: Apr 01, 2016
Accepted: Apr 01, 2016
DOI: https://doi.org/10.1515/auom-2017-0029
Keywords
© 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.