A 1.5-approximation algorithm for augmenting edge-connectivity of a graph from 1 to 2

Guy Even; Guy Kortsarz; Zeev Nutov

doi:https://doi.org/10.1016/j.ipl.2010.12.010

A 1.5-approximation algorithm for augmenting edge-connectivity of a graph from 1 to 2

Guy Even, Guy Kortsarz, Zeev Nutov

Tel Aviv University, Open University of Israel

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

Abstract

We consider the following NP-hard problem: given a connected graph G=(V,ε) and a link set E on V disjoint to ε, find a minimum size subset of edges F ⊆ E such that (V,ε∪F) is 2-edge-connected. In G. Even et al. (2005) [2] we presented a 1.8-approximation for the problem. In this paper we improve the ratio to 1.5.

Original language	English
Pages (from-to)	296-300
Number of pages	5
Journal	Information Processing Letters
Volume	111
Issue number	6
DOIs	https://doi.org/10.1016/j.ipl.2010.12.010
State	Published - 15 Feb 2011

Keywords

Approximation algorithms
Laminar family
Tree augmentation

All Science Journal Classification (ASJC) codes

Theoretical Computer Science
Signal Processing
Information Systems
Computer Science Applications

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https://doi.org/10.1016/j.ipl.2010.12.010

Cite this

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title = "A 1.5-approximation algorithm for augmenting edge-connectivity of a graph from 1 to 2",

abstract = "We consider the following NP-hard problem: given a connected graph G=(V,ε) and a link set E on V disjoint to ε, find a minimum size subset of edges F ⊆ E such that (V,ε∪F) is 2-edge-connected. In G. Even et al. (2005) [2] we presented a 1.8-approximation for the problem. In this paper we improve the ratio to 1.5.",

keywords = "Approximation algorithms, Laminar family, Tree augmentation",

author = "Guy Even and Guy Kortsarz and Zeev Nutov",

note = "Funding Information: ✩ Preliminary version in APPROX 2001, pp. 90–101. * Corresponding author. E-mail addresses: [email protected] (G. Even), [email protected] (G. Kortsarz), [email protected] (Z. Nutov). 1 Partially supported by NSF grant number 0728787.",

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doi = "https://doi.org/10.1016/j.ipl.2010.12.010",

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AU - Even, Guy

AU - Kortsarz, Guy

AU - Nutov, Zeev

N1 - Funding Information: ✩ Preliminary version in APPROX 2001, pp. 90–101. * Corresponding author. E-mail addresses: [email protected] (G. Even), [email protected] (G. Kortsarz), [email protected] (Z. Nutov). 1 Partially supported by NSF grant number 0728787.

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N2 - We consider the following NP-hard problem: given a connected graph G=(V,ε) and a link set E on V disjoint to ε, find a minimum size subset of edges F ⊆ E such that (V,ε∪F) is 2-edge-connected. In G. Even et al. (2005) [2] we presented a 1.8-approximation for the problem. In this paper we improve the ratio to 1.5.

AB - We consider the following NP-hard problem: given a connected graph G=(V,ε) and a link set E on V disjoint to ε, find a minimum size subset of edges F ⊆ E such that (V,ε∪F) is 2-edge-connected. In G. Even et al. (2005) [2] we presented a 1.8-approximation for the problem. In this paper we improve the ratio to 1.5.

KW - Approximation algorithms

KW - Laminar family

KW - Tree augmentation

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M3 - مقالة

SN - 0020-0190

VL - 111

SP - 296

EP - 300

JO - Information Processing Letters

JF - Information Processing Letters

IS - 6

ER -

A 1.5-approximation algorithm for augmenting edge-connectivity of a graph from 1 to 2

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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