Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: A (4,6)-fullerene is a three connected cubic planar graph whose faces are squares and hexagons. , for a given (4,6)-fullerene graph F,  compute the order of automorphism group F.  also study some spectral properties of fullerene graphs via their automorphism group.
['Modjtaba Ghorbani', 'Mahin Songhori']
I am writing a research paper on a idea On the automorphism group of polyhedral graphs
[{"from": "human", "value": "I am writing a research paper on a idea On the automorphism group of polyhedral graphs"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: A (4,6)-fullerene is a three connected cubic planar graph whose faces are squares and hexagons. , for a given (4,6)-fullerene graph F,  compute the order of automorphism group F.  also study some spectral properties of fullerene graphs via their automorphism group."}]