A 3/2-approximation algorithm for augmenting the edge-connectivity of a graph from 1 to 2 using a subset of a given edge set (Extended abstract)

Guy Even; Jon Feldman; Guy Kortsarz; Zeev Nutov

A 3/2-approximation algorithm for augmenting the edge-connectivity of a graph from 1 to 2 using a subset of a given edge set (Extended abstract)

Guy Even, Jon Feldman, Guy Kortsarz, Zeev Nutov

Computer Science

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

We consider the following problem: given a connected graph G = (V, εE) and an additional edge set E, find a minimum size subset of edges F ⊆E suchth at (V,ε ∪F) is 2-edge connected. This problem is NP-hard. For a long time, 2 was the best approximation ratio known. Recently, Nagamochi reported a (1.875 + ε)-approximation algorithm. We give a new algorithm with a better approximation ratio of 3/2 and a practical running time.

Original language	English
Title of host publication	Approximation, Randomization, and Combinatorial Optimization
Subtitle of host publication	Algorithms and Techniques - 4th International Workshop on Approximation, Algorithms for Combinatorial Optimization Problems, APPROX 2001 and 5th International Workshop on Randomization and Approximation Techniques in Computer Science, RANDOM 2001, Proceedings
Editors	Luca Trevisan, Klaus Jansen, Michel Goemans, Jose D. P. Rolim
Publisher	Springer Verlag
Pages	90-101
Number of pages	12
ISBN (Electronic)	3540424709
State	Published - 2015
Event	4th International Workshop on Approximation Algorithms for Combinatorial Optimization Problems, APPROX 2001 and 5th International Workshop on Randomization and Approximation Techniques in Computer Science, RANDOM 2001 - Berkeley, United States Duration: 18 Aug 2001 → 20 Aug 2001

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	2129
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Conference

Conference	4th International Workshop on Approximation Algorithms for Combinatorial Optimization Problems, APPROX 2001 and 5th International Workshop on Randomization and Approximation Techniques in Computer Science, RANDOM 2001
Country/Territory	United States
City	Berkeley
Period	18/08/01 → 20/08/01

Bibliographical note

Publisher Copyright:
© Springer-Verlag Berlin Heidelberg 2001

Cite this

Even, G., Feldman, J., Kortsarz, G., & Nutov, Z. (2015). A 3/2-approximation algorithm for augmenting the edge-connectivity of a graph from 1 to 2 using a subset of a given edge set (Extended abstract). In L. Trevisan, K. Jansen, M. Goemans, & J. D. P. Rolim (Eds.), Approximation, Randomization, and Combinatorial Optimization: Algorithms and Techniques - 4th International Workshop on Approximation, Algorithms for Combinatorial Optimization Problems, APPROX 2001 and 5th International Workshop on Randomization and Approximation Techniques in Computer Science, RANDOM 2001, Proceedings (pp. 90-101). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 2129). Springer Verlag.

Even, Guy ; Feldman, Jon ; Kortsarz, Guy et al. / A 3/2-approximation algorithm for augmenting the edge-connectivity of a graph from 1 to 2 using a subset of a given edge set (Extended abstract). Approximation, Randomization, and Combinatorial Optimization: Algorithms and Techniques - 4th International Workshop on Approximation, Algorithms for Combinatorial Optimization Problems, APPROX 2001 and 5th International Workshop on Randomization and Approximation Techniques in Computer Science, RANDOM 2001, Proceedings. editor / Luca Trevisan ; Klaus Jansen ; Michel Goemans ; Jose D. P. Rolim. Springer Verlag, 2015. pp. 90-101 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

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abstract = "We consider the following problem: given a connected graph G = (V, εE) and an additional edge set E, find a minimum size subset of edges F ⊆E suchth at (V,ε ∪F) is 2-edge connected. This problem is NP-hard. For a long time, 2 was the best approximation ratio known. Recently, Nagamochi reported a (1.875 + ε)-approximation algorithm. We give a new algorithm with a better approximation ratio of 3/2 and a practical running time.",

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Even, G, Feldman, J, Kortsarz, G & Nutov, Z 2015, A 3/2-approximation algorithm for augmenting the edge-connectivity of a graph from 1 to 2 using a subset of a given edge set (Extended abstract). in L Trevisan, K Jansen, M Goemans & JDP Rolim (eds), Approximation, Randomization, and Combinatorial Optimization: Algorithms and Techniques - 4th International Workshop on Approximation, Algorithms for Combinatorial Optimization Problems, APPROX 2001 and 5th International Workshop on Randomization and Approximation Techniques in Computer Science, RANDOM 2001, Proceedings. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 2129, Springer Verlag, pp. 90-101, 4th International Workshop on Approximation Algorithms for Combinatorial Optimization Problems, APPROX 2001 and 5th International Workshop on Randomization and Approximation Techniques in Computer Science, RANDOM 2001, Berkeley, United States, 18/08/01.

A 3/2-approximation algorithm for augmenting the edge-connectivity of a graph from 1 to 2 using a subset of a given edge set (Extended abstract). / Even, Guy; Feldman, Jon; Kortsarz, Guy et al.
Approximation, Randomization, and Combinatorial Optimization: Algorithms and Techniques - 4th International Workshop on Approximation, Algorithms for Combinatorial Optimization Problems, APPROX 2001 and 5th International Workshop on Randomization and Approximation Techniques in Computer Science, RANDOM 2001, Proceedings. ed. / Luca Trevisan; Klaus Jansen; Michel Goemans; Jose D. P. Rolim. Springer Verlag, 2015. p. 90-101 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 2129).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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Even G, Feldman J, Kortsarz G, Nutov Z. A 3/2-approximation algorithm for augmenting the edge-connectivity of a graph from 1 to 2 using a subset of a given edge set (Extended abstract). In Trevisan L, Jansen K, Goemans M, Rolim JDP, editors, Approximation, Randomization, and Combinatorial Optimization: Algorithms and Techniques - 4th International Workshop on Approximation, Algorithms for Combinatorial Optimization Problems, APPROX 2001 and 5th International Workshop on Randomization and Approximation Techniques in Computer Science, RANDOM 2001, Proceedings. Springer Verlag. 2015. p. 90-101. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

A 3/2-approximation algorithm for augmenting the edge-connectivity of a graph from 1 to 2 using a subset of a given edge set (Extended abstract)

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