Another proof of polynomial-time recognizability of Delaunay graphs

Another proof of polynomial-time recognizability of Delaunay graphs

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Article ID: iaor20011981
Country: Japan
Volume: E83-A
Issue: 4
Start Page Number: 627
End Page Number: 638
Publication Date: Apr 2000
Journal: Transactions of the Institute of Electronics, Information and Communication Engineers
Authors: , ,
Keywords: combinatorial analysis, graphs
Abstract:

This paper presents an algorithm to judge whether a given graph is homeomorphic to some Delaunay graph. The problem is reduced to a certain type of linear programming, and here can be solved in polynomial time. This algorithm and its induction is simpler than another algorithm for the same problem proposed independently at almost the same time. The algorithm is applied to an experimental study for the distribution of Delaunay graphs among all triangulation graphs.

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