Partial duals of graphs embedded in the real projective plane

Details Partial duals of graphs embedded in the real projective plane Partial duals of graphs embedded in the real projective plane

2011-08-17

arxiv.org/abs/1108.3526v1

Mathematics

Combinatorics

Scientific paper

This paper contains a characterization of the partial duals of a graph embedded in the real projective plane. It is shown that an embedded graph is a partial dual of a graph in the real projective plane if and only if it admits a particular type of separation into both plane graphs and an RP^2 graph. This characterization of partial duals of RP^2 graphs is then applied to characterize, and to determine a local move relating, all partially dual graphs in the real projective plane.

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