Construction of Barnette graphs whose large subgraphs are non-Hamiltonian
und | 27. Feb. 2020
Über diesen Artikel
Online veröffentlicht: 27. Feb. 2020
Seitenbereich: 363 - 370
Eingereicht: 06. Mai 2019
DOI: https://doi.org/10.2478/ausm-2019-0026
Schlüsselwörter
© 2019 S. Pirzada et al., published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.
Barnette’s conjecture states that every three connected cubic bipartite planar graph (CPB3C) is Hamiltonian. In this paper we show the existence of a family of CPB3C Hamiltonian graphs in which large and large subgraphs are non-Hamiltonian.