A counterexample to prism-hamiltonicity of 3-connected planar graphs

نویسندگان

چکیده

The prism over a graph G is the Cartesian product of with complete K2. A hamiltonian if there exists spanning cycle in G, and prism-hamiltonian hamiltonian. Rosenfeld Barnette (1973) [15] conjectured that every 3-connected planar prism-hamiltonian. We construct counterexample to conjecture.

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ژورنال

عنوان ژورنال: Journal of Combinatorial Theory, Series B

سال: 2021

ISSN: ['0095-8956', '1096-0902']

DOI: https://doi.org/10.1016/j.jctb.2020.09.012