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

Guy Even; Guy Kortsarz; Zeev Nutov

doi: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

Computer Science discipline

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

Bibliographical 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.

Keywords

Approximation algorithms
Laminar family
Tree augmentation

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10.1016/j.ipl.2010.12.010

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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.",

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

Abstract

Bibliographical note

Keywords

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