We show that every 2-connected (2)-Halin graph is Hamiltonian.
@article{bwmeta1.element.bwnjournal-article-doi-10_7151_dmgt_1524,
author = {Magdalena Bojarska},
title = {A note on Hamiltonian cycles in generalized Halin graphs},
journal = {Discussiones Mathematicae Graph Theory},
volume = {30},
year = {2010},
pages = {701-704},
zbl = {1217.05068},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmgt_1524}
}
Magdalena Bojarska. A note on Hamiltonian cycles in generalized Halin graphs. Discussiones Mathematicae Graph Theory, Tome 30 (2010) pp. 701-704. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmgt_1524/
[000] [1] C.A. Barefoot, Hamiltonian connectivity of the Halin graphs, in: Eighteenth Southeastern International Conference on Combinatorics, Graph Theory, and Computing (Boca Raton, Fla., 1987), Congr. Numer. 58 (1987) 93-102. | Zbl 0649.05047
[001] [2] J.A. Bondy and L. Lovasz Lengths of cycles in Halin graphs, J. Graph Theory 9 (1985) 397-410, doi: 10.1002/jgt.3190090311. | Zbl 0587.05039