The family of 5-valent polyhedral graphs whose faces are all triangles or 3s-gons, s ≥ 9, is shown to contain non-hamiltonian graphs and to have a shortness exponent smaller than one.
@article{bwmeta1.element.bwnjournal-article-doi-10_7151_dmgt_1009,
author = {Peter J. Owens and Hansjoachim Walther},
title = {Hamiltonicity in multitriangular graphs},
journal = {Discussiones Mathematicae Graph Theory},
volume = {15},
year = {1995},
pages = {77-88},
zbl = {0831.05040},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmgt_1009}
}
Peter J. Owens; Hansjoachim Walther. Hamiltonicity in multitriangular graphs. Discussiones Mathematicae Graph Theory, Tome 15 (1995) pp. 77-88. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmgt_1009/
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