Algebraic characterizations of graph imbeddability in surfaces and pseudosurfaces

@inproceedings{Abrams2006AlgebraicCO,
  title={Algebraic characterizations of graph imbeddability in surfaces and pseudosurfaces},
  author={Lowell Abrams and Daniel C. Slilaty},
  year={2006}
}
Given a finite connected graph G and specifications for a closed, connected pseudosurface, we characterize when G can be imbedded in a closed, connected pseudosurface with the given specifications. The specifications for the pseudosurface are: the number of face-connected components, 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∗ on the same set of… CONTINUE READING

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