Construction of Barnette graphs whose large subgraphs are non-Hamiltonian
et | 27 févr. 2020
À propos de cet article
Publié en ligne: 27 févr. 2020
Pages: 363 - 370
Reçu: 06 mai 2019
DOI: https://doi.org/10.2478/ausm-2019-0026
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© 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.