Remarks on Barnette’s conjecture

Jan Florek ()
Additional contact information
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
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s10878-019-00460-8 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:jcomop:v:39:y:2020:i:1:d:10.1007_s10878-019-00460-8

Ordering information: This journal article can be ordered from
https://www.springer.com/journal/10878

DOI: 10.1007/s10878-019-00460-8

Access Statistics for this article

Journal of Combinatorial Optimization is currently edited by Thai, My T.

More articles in Journal of Combinatorial Optimization from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().