Finding even cycles even faster

Raphael Yuster; Uri Zwick

doi:10.1137/S0895480194274133

Finding even cycles even faster

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

Abstract

We describe efficient algorithms for finding even cycles in undirected graphs. Our main results are the following: (i) For every k ≥ 2, there is an O(V²) time algorithm that decides whether an undirected graph G = (V, E) contains a simple cycle of length 2k, and finds one if it does. (ii) There is an O(V²) time algorithm that finds a shortest even cycle in an undirected graph G = (V, E).

Original language	English
Pages (from-to)	209-222
Number of pages	14
Journal	SIAM Journal on Discrete Mathematics
Volume	10
Issue number	2
DOIs	https://doi.org/10.1137/S0895480194274133
State	Published - May 1997
Externally published	Yes

Keywords

Cycles
Graph algorithms

ASJC Scopus subject areas

General Mathematics

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10.1137/S0895480194274133

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title = "Finding even cycles even faster",

abstract = "We describe efficient algorithms for finding even cycles in undirected graphs. Our main results are the following: (i) For every k ≥ 2, there is an O(V2) time algorithm that decides whether an undirected graph G = (V, E) contains a simple cycle of length 2k, and finds one if it does. (ii) There is an O(V2) time algorithm that finds a shortest even cycle in an undirected graph G = (V, E).",

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AB - We describe efficient algorithms for finding even cycles in undirected graphs. Our main results are the following: (i) For every k ≥ 2, there is an O(V2) time algorithm that decides whether an undirected graph G = (V, E) contains a simple cycle of length 2k, and finds one if it does. (ii) There is an O(V2) time algorithm that finds a shortest even cycle in an undirected graph G = (V, E).

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KW - Graph algorithms

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DO - 10.1137/S0895480194274133

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Finding even cycles even faster

Abstract

Keywords

ASJC Scopus subject areas

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