Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  study the problem of computing a Hamiltonian tour (cycle) or path on a set of points in order to maximize the minimum edge length in the tour or path. This "maximum scatter" traveling salesperson problem (TSP) is closely related to the bottleneck TSP and is motivated by applications in manufacturing (e.g., sequencing of rivet operations) and medical imaging. ,  give the first algorithmic study of these problems, including complexity results, approximation algorithms, and exact algorithms for special cases. In an attempt to model more accurately the real problems that arise in practice,  also generalize the basic problem to consider a more general measure of "scatter" in which points on a tour or path should be far not only from their immediate predecessor and successor, but also from other near-neighbors along the tour or path.
['Esther M. Arkin', 'Yi-Jen Chiang', 'Joseph S. B. Mitchell', 'Steven Skiena', 'Tae-Cheon Yang']
I am writing a research paper on a idea On the Maximum Scatter Traveling Salesperson Problem
[{"from": "human", "value": "I am writing a research paper on a idea On the Maximum Scatter Traveling Salesperson Problem"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  study the problem of computing a Hamiltonian tour (cycle) or path on a set of points in order to maximize the minimum edge length in the tour or path. This \"maximum scatter\" traveling salesperson problem (TSP) is closely related to the bottleneck TSP and is motivated by applications in manufacturing (e.g., sequencing of rivet operations) and medical imaging. ,  give the first algorithmic study of these problems, including complexity results, approximation algorithms, and exact algorithms for special cases. In an attempt to model more accurately the real problems that arise in practice,  also generalize the basic problem to consider a more general measure of \"scatter\" in which points on a tour or path should be far not only from their immediate predecessor and successor, but also from other near-neighbors along the tour or path."}]