Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Let $G(V,E)$ be a $k$-uniform hypergraph. A hyperedge $e \in E$ is said to be properly $(r,p)$ colored by an $r$-coloring of vertices in $V$ if $e$ contains vertices of at least $p$ distinct colors in the $r$-coloring. An $r$-coloring of vertices in $V$ is called a {\it strong $(r,p)$ coloring} if every hyperedge $e \in E$ is properly $(r,p)$ colored by the $r$-coloring.  study the maximum number of hyperedges that can be properly $(r,p)$ colored by a single $r$-coloring and the structures that maximizes number of properly $(r,p)$ colored hyperedges.
['Tapas Kumar Mishra', 'Sudebkumar Prasant Pal']
I am writing a research paper on a idea An extremal problem in proper $(r,p)$-coloring of hypergraphs
[{"from": "human", "value": "I am writing a research paper on a idea An extremal problem in proper $(r,p)$-coloring of hypergraphs"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Let $G(V,E)$ be a $k$-uniform hypergraph. A hyperedge $e \\in E$ is said to be properly $(r,p)$ colored by an $r$-coloring of vertices in $V$ if $e$ contains vertices of at least $p$ distinct colors in the $r$-coloring. An $r$-coloring of vertices in $V$ is called a {\\it strong $(r,p)$ coloring} if every hyperedge $e \\in E$ is properly $(r,p)$ colored by the $r$-coloring.  study the maximum number of hyperedges that can be properly $(r,p)$ colored by a single $r$-coloring and the structures that maximizes number of properly $(r,p)$ colored hyperedges."}]