2006/03/30 by Kazuhiro Ichihara, Ichihara, Kazuhiro, Akira Ushijima +1
Mathematics · #05C10 #57M50 #FOS: Mathematics #General Topology (math.GN) #Geometric Topology (math.GT) #math.GN #math.GT #msc:05C10 #msc:57M50
paper · pdf · doi:10.48550/arxiv.math/0603707
18 pages, 3 figures; proofs of several results, including Proposition 2 and Lemma 6 has been improved. Mail theorem is also improved
arxiv created 2007/11/05 · arxiv updated 2009/12/01
A construction of a spatial graph from a strongly invertible knot was developed by the second author, and a necessary and sufficient condition for the given spatial graph to be hyperbolic was provided as well. The condition is improved in this paper. This enable us to show that certain classes of knots can yield hyperbolic spatial graphs via the construction.