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

Guy Even, Guy Kortsarz, Zeev Nutov*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

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 languageEnglish
Pages (from-to)296-300
Number of pages5
JournalInformation Processing Letters
Volume111
Issue number6
DOIs
StatePublished - 15 Feb 2011

Funding

FundersFunder number
National Science Foundation0728787

    Keywords

    • Approximation algorithms
    • Laminar family
    • Tree augmentation

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