Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  give a set of multidegrees that support all the numerical information for a monomial ideal that can be reverse searched and hence is parallelizable and has space complexity that is polynomial in the size of the input. Our approach uses a new definition of closed sets for simplicial complexes that may be useful in other contexts.
['Dave Bayer', 'Amelia Taylor']
I am writing a research paper on a idea Reverse search for monomial ideals
[{"from": "human", "value": "I am writing a research paper on a idea Reverse search for monomial ideals"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  give a set of multidegrees that support all the numerical information for a monomial ideal that can be reverse searched and hence is parallelizable and has space complexity that is polynomial in the size of the input. Our approach uses a new definition of closed sets for simplicial complexes that may be useful in other contexts."}]