| | |
Summary: Algebraic characterizations of graph
imbeddability in surfaces and pseudosurfaces
Lowell Abrams
Department of Mathematics
The George Washington University
Washington DC, 20052
labrams@gwu.edu.
Daniel C. Slilaty
Department of Mathematics and Statistics
Wright State University
Dayton, OH 45435
dslilaty@math.wright.edu.
Abstract
Given a finite connected graph G and specifications for a closed, con-
nected pseudosurface, we characterize when G can be imbedded in a
closed, connected pseudosurface with the given specifications. The speci-
fications for the pseudosurface are: the number of face-connected compo-
nents, the number of pinches, the number of crosscaps and handles, and
the dimension of the first Z2-homology group. The characterizations are
formulated in terms of the existence of a dual graph G
|
