Approximating the Diameter of Planar Graphs in Near Linear Time

preprint2013arXivOpen access

Abstract

We present a (1+ε)(1+ε)-approximation algorithm running in O(f(ε)⋅nlog⁡4n)O(f(ε)\cdot n \log^4 n) time for finding the diameter of an undirected planar graph with non-negative edge lengths.

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