Approximating the Diameter of Planar Graphs in Near Linear Time-Reference-Cited by-同舟云学术

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Approximating the Diameter of Planar Graphs in Near Linear Time

Published:2016-02-08 Issue:1 Volume:12 Page:1-13
ISSN:1549-6325
Container-title:ACM Transactions on Algorithms
language:en
Short-container-title:ACM Trans. Algorithms

Author:

Weimann Oren¹,Yuster Raphael¹

Affiliation:

1. University of Haifa, Haifa, Israel

Abstract

We present a (1 + ε)-approximation algorithm running in O ( f (ε) · n log 4 n ) time for finding the diameter of an undirected planar graph with n vertices and with nonnegative edge lengths.

Publisher

Association for Computing Machinery (ACM)

Subject

Mathematics (miscellaneous)

Link

https://dl.acm.org/doi/pdf/10.1145/2764910

Reference22 articles.

1. Object location using path separators

2. Fast Estimation of Diameter and Shortest Paths (Without Matrix Multiplication)

3. Fast and Simple Approximation of the Diameter and Radius of a Graph

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1. $$\alpha _i$$-Metric Graphs: Radius, Diameter and all Eccentricities;Algorithmica;2024-03-25

2. $$\alpha _i$$-Metric Graphs: Radius, Diameter and all Eccentricities;Graph-Theoretic Concepts in Computer Science;2023

3. Parameterized Complexity of Diameter;Algorithmica;2022-09-05

4. Almost-linear ε -emulators for planar graphs;Proceedings of the 54th Annual ACM SIGACT Symposium on Theory of Computing;2022-06-09

5. Subquadratic Algorithms for the Diameter and the Sum of Pairwise Distances in Planar Graphs;ACM Transactions on Algorithms;2019-04-30

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