Publications in Scientific Journals:

A. Hoffmann-Ostenhof, K. Noguchi, K. Ozeki:
"On homeomorphically irreducible spanning trees in cubic graphs";
Journal of Graph Theory, 89 (2018), 2; 93 - 100.

English 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. We also show several results on the existence of HISTs in plane and toroidal cubic graphs.

Bipartite, cubic graph, cyclic edge-connetivity, fullerene, HIST, spanning tree

"Official" electronic version of the publication (accessed through its Digital Object Identifier - DOI)

Electronic version of the publication:

Created from the Publication Database of the Vienna University of Technology.