Construction of Barnette graphs whose large subgraphs are non-Hamiltonian
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.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Sciendo
2019-12-01
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| Series: | Acta Universitatis Sapientiae: Mathematica |
| Subjects: | |
| Online Access: | https://doi.org/10.2478/ausm-2019-0026 |
| Summary: | 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. |
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| ISSN: | 2066-7752 |