Remarks on Barnette’s conjecture
Jan Florek ()
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Jan Florek: Wroclaw University of Science and Technology
Journal of Combinatorial Optimization, 2020, vol. 39, issue 1, No 10, 149-155
Abstract:
Abstract Let P be a cubic 3-connected bipartite plane graph having a 2-factor which consists only of facial 4-cycles, and suppose that $$P^{*}$$P∗ is the dual graph. We show that P has at least $$3^{\left\lceil \frac{2|P^{*}|}{\varDelta ^{2}{(P^{*})}}\right\rceil }$$32|P∗|Δ2(P∗) different Hamilton cycles.
Keywords: Barnette’s conjecture; Hamilton cycle; Induced tree; 05C45; 05C10 (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1007/s10878-019-00460-8
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