Approximating the diameter of planar graphs in near linear time

Oren Weimann; Raphael Yuster

doi:10.1145/2764910

Approximating the diameter of planar graphs in near linear time

Oren Weimann, Raphael Yuster

University of Haifa

Research output: Contribution to journal › Article › peer-review

Abstract

We present a (1 + ε)-approximation algorithm running in O(f(ε). nlog⁴_n) time for finding the diameter of an undirected planar graph with n vertices and with nonnegative edge lengths.

Original language	American English
Article number	12
Journal	ACM Transactions on Algorithms
Volume	12
Issue number	1
DOIs	https://doi.org/10.1145/2764910
State	Published - Nov 2015

Keywords

All pairs shortest paths
Diameter
Distance oracles
Planar graphs

All Science Journal Classification (ASJC) codes

Mathematics (miscellaneous)

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10.1145/2764910

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abstract = "We present a (1 + ε)-approximation algorithm running in O(f(ε). nlog4n) time for finding the diameter of an undirected planar graph with n vertices and with nonnegative edge lengths.",

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Approximating the diameter of planar graphs in near linear time

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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