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Obstructions for Embedding Cubic Graphs on
 

Summary: Obstructions for Embedding
Cubic Graphs on
the Spindle Surface
Dan Archdeacon
Dept. of Math. and Stat.
University of Vermont
Burlington, VT, USA 05405
dan.archdeacon@uvm.edu
C. Paul Bonnington
Department of Mathematics
University of Auckland
Auckland, New Zealand
p.bonnington@auckland.ac.nz
September 5, 2001
Abstract
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.

  

Source: Archdeacon, Dan - Department of Mathematics and Statistics, University of Vermont

 

Collections: Mathematics