Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: It is shown that embeddings of planar graphs in the projective plane have very specific structure. By exhibiting this structure  indirectly characterize graphs on the projective plane whose dual graphs are planar. Whitney's Theorem about 2-switching equivalence of planar embeddings is generalized: Any two embeddings of a planar graph in the projective plane can be obtained from each other by means of simple local reembeddings, very similar to Whitney's switchings.
['Bojan Mohar', 'Neil Robertson', 'Richard P. Vitray']
I am writing a research paper on a idea Planar graphs on the projective plane
[{"from": "human", "value": "I am writing a research paper on a idea Planar graphs on the projective plane"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: It is shown that embeddings of planar graphs in the projective plane have very specific structure. By exhibiting this structure  indirectly characterize graphs on the projective plane whose dual graphs are planar. Whitney's Theorem about 2-switching equivalence of planar embeddings is generalized: Any two embeddings of a planar graph in the projective plane can be obtained from each other by means of simple local reembeddings, very similar to Whitney's switchings."}]