Abstract
This paper presents some initial work done in establishing
a complete list of irreducible non-embeddable graphs for the projective plane.
The main result presented is the following theorem: All irreducible
non-embeddable graphs for the projective plane which have a subgraph
contractable to $GAMMA sub 1$ and do not have a subgraph
contractable to $K sub 3,4$, are contractable to one of four graphs
listed in the set $S sub 2$.
Notes
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