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arXiv · 1507.07689

On Homeomorphically Irreducible Spanning Trees in Cubic Graphs

Arthur Hoffmann-Ostenhof·Kenta Noguchi·Kenta Ozeki
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Abstract

A spanning tree without a vertex of degree two is called a Hist which is an abbreviation for homeomorphically irreducible spanning tree. We provide a necessary condition for the existence of a Hist in a cubic graph. As one consequence, we answer affirmatively an open question on Hists by Albertson, Berman, Hutchinson and Thomassen.

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Arthur Hoffmann-Ostenhof, Kenta Noguchi, Kenta Ozeki. 2017-06-12. On Homeomorphically Irreducible Spanning Trees in Cubic Graphs. https://arxiv.org/abs/1507.07689

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