Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: A circulation in a digraph is a spanning subgraph with indegree equal to outdegree at each vertex. Alon and Tarsi proved that a graph is d-choosable when it has an orientation that has no vertex of outdegree at least d and has the property that the numbers of circulations with even-sized and odd-sized edge sets differ.  generalize this to k-uniform hypergraphs for prime k.  use a “hypergraph polynomial“ and a notion of hypergraph orientation defined by choosing a source vertex from each edge.
['Radhika Ramamurthi', 'Bing West']
I am writing a research paper on a idea Hypergraph Extension Of The Alon-Tarsi List Coloring Theorem
[{"from": "human", "value": "I am writing a research paper on a idea Hypergraph Extension Of The Alon-Tarsi List Coloring Theorem"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: A circulation in a digraph is a spanning subgraph with indegree equal to outdegree at each vertex. Alon and Tarsi proved that a graph is d-choosable when it has an orientation that has no vertex of outdegree at least d and has the property that the numbers of circulations with even-sized and odd-sized edge sets differ.  generalize this to k-uniform hypergraphs for prime k.  use a \u201chypergraph polynomial\u201c and a notion of hypergraph orientation defined by choosing a source vertex from each edge."}]