Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  present a unified framework to asymptotically count the number of sets, with a given cardinality, free of certain configurations. This is done by combining the hypergraph containers methodology joint with arithmetic removal lemmas. Several applications involving linear configurations are described, as ll as some applications in the random sparse setting.
['Juanjo Rué', 'Oriol Serra', 'Lluís Vena']
I am writing a research paper on a idea Counting configuration-free sets in groups
[{"from": "human", "value": "I am writing a research paper on a idea Counting configuration-free sets in groups"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  present a unified framework to asymptotically count the number of sets, with a given cardinality, free of certain configurations. This is done by combining the hypergraph containers methodology joint with arithmetic removal lemmas. Several applications involving linear configurations are described, as ll as some applications in the random sparse setting."}]