Summary: Obstructions for Embedding
Cubic Graphs on
the Spindle Surface
Dept. of Math. and Stat.
University of Vermont
Burlington, VT, USA 05405
C. Paul Bonnington
Department of Mathematics
University of Auckland
Auckland, New Zealand
September 5, 2001
The spindle surface S is the pinched surface formed by identifying
two points on the sphere. In this paper we examine cubic graphs that
minimally do not embed on the spindle surface. We give the complete
list of 21 cubic graphs that form the topological obstruction set in the
cubic order for graphs that embed on S.