Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  define a signed embedding of a signed graph into real projective space to be an embedding such that an embedded cycle is 0-homologous if and only if it is balanced.  characterize signed graphs that have a linkless signed embedding. In particular,  exhibit 46 graphs that form the complete minor-minimal set of signed graphs that contain a non-split link for every signed embedding. With one trivial exception, these graphs are derived from different signings of the seven Petersen family graphs.
['Yen Duong', 'Joel Foisy', 'Killian Meehan', 'Leanne Merrill', 'Lynea Snyder']
I am writing a research paper on a idea Intrinsically linked signed graphs in projective space
[{"from": "human", "value": "I am writing a research paper on a idea Intrinsically linked signed graphs in projective space"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  define a signed embedding of a signed graph into real projective space to be an embedding such that an embedded cycle is 0-homologous if and only if it is balanced.  characterize signed graphs that have a linkless signed embedding. In particular,  exhibit 46 graphs that form the complete minor-minimal set of signed graphs that contain a non-split link for every signed embedding. With one trivial exception, these graphs are derived from different signings of the seven Petersen family graphs."}]