Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: The derivative graphs and their homomorphisms are studied. Inspirated by the Whitney theorem on automorphisms,  are considering endomorphisms of a graph in their relationship to endomorphisms of its derivative graph. Particularly,  characterize in this connection the graphs with the best endomorphisms.
['Jaroslav Neetil']
I am writing a research paper on a idea Homomorphisms of derivative graphs
[{"from": "human", "value": "I am writing a research paper on a idea Homomorphisms of derivative graphs"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: The derivative graphs and their homomorphisms are studied. Inspirated by the Whitney theorem on automorphisms,  are considering endomorphisms of a graph in their relationship to endomorphisms of its derivative graph. Particularly,  characterize in this connection the graphs with the best endomorphisms."}]