Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Given two sets of points $\mathbb{R}$ and $\mathbb{B}$ in the plane,  address the problem of finding a set of circles $\mathbb{C} = \{c_i, i= 1, 2, \ldots, k\}$, satisfying the condition that every point in $\mathbb{R}$ is covered by at least one circle $c_i$ and each point in $\mathbb{B}$ is not covered by any circle $c_i, i = 1, 2, \ldots k$.  conjecture that to find such a set with the smallest $k$ is NP-complete. ,  present an approximation algorithm for computing the set with minimal number of such circles. The algorithm finds also a lor bound of the smallest $k$.
['Jiaye Wang', 'Feng Sun', 'Wenping Wang', 'Chunyan Miao', 'Caiming Zhang']
I am writing a research paper on a idea Minimizing the Number of Separating Circles for Two Sets of Points in the Plane
[{"from": "human", "value": "I am writing a research paper on a idea Minimizing the Number of Separating Circles for Two Sets of Points in the Plane"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Given two sets of points $\\mathbb{R}$ and $\\mathbb{B}$ in the plane,  address the problem of finding a set of circles $\\mathbb{C} = \\{c_i, i= 1, 2, \\ldots, k\\}$, satisfying the condition that every point in $\\mathbb{R}$ is covered by at least one circle $c_i$ and each point in $\\mathbb{B}$ is not covered by any circle $c_i, i = 1, 2, \\ldots k$.  conjecture that to find such a set with the smallest $k$ is NP-complete. ,  present an approximation algorithm for computing the set with minimal number of such circles. The algorithm finds also a lor bound of the smallest $k$."}]