Computing the girth of a planar graph in o(n log n) time

Oren Weimann; Raphael Yuster

doi:10.1137/090767868

Computing the girth of a planar graph in o(n log n) time

Department of Mathematics

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

Abstract

We give an O(n logn) algorithm for computi ng the girth (shortest cycle) of an undirected n-vertex planar graph. Our solution extends to any graph of bounded genus. This improves upon the best previously known algorithms for this problem.

Original language	English
Pages (from-to)	609-616
Number of pages	8
Journal	SIAM Journal on Discrete Mathematics
Volume	24
Issue number	2
DOIs	https://doi.org/10.1137/090767868
State	Published - 2010

Keywords

Girth
Graphs of bounded genus
Planar graph
Shortest cycle

ASJC Scopus subject areas

General Mathematics

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10.1137/090767868

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abstract = "We give an O(n logn) algorithm for computi ng the girth (shortest cycle) of an undirected n-vertex planar graph. Our solution extends to any graph of bounded genus. This improves upon the best previously known algorithms for this problem.",

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Computing the girth of a planar graph in o(n log n) time

Abstract

Keywords

ASJC Scopus subject areas

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