Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: A geometric graph G is a graph whose vertices are points in the plane and whose edges are line segments ighted by the Euclidean distance beten their endpoints. In this setting, a t-spanner of G is a connected spanning subgraph G' with the property that for every pair of vertices x, y, the shortest path from x to y in G' has ight at most L ≥ 1 times the shortest path from x to y in G. The parameter t is commonly referred to as the spanning ratio or the stretch factor. Among the many beautiful properties that Delaunay graphs possess, a constant spanning ratio is one of them.  provide a comprehensive overview of various results concerning the spanning ratio among other properties of different types of Delaunay graphs and their subgraphs.
['Prosenjit Bose']
I am writing a research paper on a idea On spanning properties of various Delaunay graphs
[{"from": "human", "value": "I am writing a research paper on a idea On spanning properties of various Delaunay graphs"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: A geometric graph G is a graph whose vertices are points in the plane and whose edges are line segments ighted by the Euclidean distance beten their endpoints. In this setting, a t-spanner of G is a connected spanning subgraph G' with the property that for every pair of vertices x, y, the shortest path from x to y in G' has ight at most L \u2265 1 times the shortest path from x to y in G. The parameter t is commonly referred to as the spanning ratio or the stretch factor. Among the many beautiful properties that Delaunay graphs possess, a constant spanning ratio is one of them.  provide a comprehensive overview of various results concerning the spanning ratio among other properties of different types of Delaunay graphs and their subgraphs."}]