Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  study a generalization of the ll known bottleneck span- ning tree problem called Best Case Connectivity with Uncertainty: Given a family of geometric regions, choose one point per region, such that the length of the longest edge in a spanning tree of a disc intersection graph is minimized.  show that this problem is NP-hard even for very sim- ple scenarios such as line segments and squares.  also give exact and approximation algorithms for the case of line segments and unit discs respectively.
['Erin W. Chambers', 'Alejandro Erickson', 'Sándor P. Fekete', 'Jonathan Lenchner', 'Jeff Sember', 'Srinivasan Venkatesh', 'Ulrike Stege', 'Svetlana Stolpner', 'Christophe Weibel', 'Sue Whitesides']
I am writing a research paper on a idea Connectivity Graphs of Uncertainty Regions
[{"from": "human", "value": "I am writing a research paper on a idea Connectivity Graphs of Uncertainty Regions"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  study a generalization of the ll known bottleneck span- ning tree problem called Best Case Connectivity with Uncertainty: Given a family of geometric regions, choose one point per region, such that the length of the longest edge in a spanning tree of a disc intersection graph is minimized.  show that this problem is NP-hard even for very sim- ple scenarios such as line segments and squares.  also give exact and approximation algorithms for the case of line segments and unit discs respectively."}]