Approximating minimum independent dominating sets in wireless networks

Johann L. Hurink; Tim Nieberg

doi:10.1016/j.ipl.2008.09.021

Approximating minimum independent dominating sets in wireless networks

Johann L. Hurink, Tim Nieberg

Discrete Mathematics and Mathematical Programming

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

14 Citations (Scopus)

Abstract

We present the first polynomial-time approximation scheme (PTAS) for the Minimum Independent Dominating Set problem in graphs of polynomially bounded growth which are used to model wireless communication networks. The approach presented yields a robust algorithm, that is, it accepts any undirected graph as input, and returns a (1+ε)-approximate minimum independent dominating set, or a certificate showing that the input graph does not satisfy the bounded growth property.

Original language	English
Pages (from-to)	155-160
Number of pages	6
Journal	Information processing letters
Volume	109
Issue number	2
DOIs	https://doi.org/10.1016/j.ipl.2008.09.021
Publication status	Published - 2008

Keywords

Approximation algorithms
PTAS
Minimum independent dominating set
Minimum maximal independent set

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10.1016/j.ipl.2008.09.021

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abstract = "We present the first polynomial-time approximation scheme (PTAS) for the Minimum Independent Dominating Set problem in graphs of polynomially bounded growth which are used to model wireless communication networks. The approach presented yields a robust algorithm, that is, it accepts any undirected graph as input, and returns a (1+ε)-approximate minimum independent dominating set, or a certificate showing that the input graph does not satisfy the bounded growth property.",

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AB - We present the first polynomial-time approximation scheme (PTAS) for the Minimum Independent Dominating Set problem in graphs of polynomially bounded growth which are used to model wireless communication networks. The approach presented yields a robust algorithm, that is, it accepts any undirected graph as input, and returns a (1+ε)-approximate minimum independent dominating set, or a certificate showing that the input graph does not satisfy the bounded growth property.

KW - Approximation algorithms

KW - PTAS

KW - Minimum independent dominating set

KW - Minimum maximal independent set

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DO - 10.1016/j.ipl.2008.09.021

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EP - 160

JO - Information processing letters

JF - Information processing letters

SN - 0020-0190

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Approximating minimum independent dominating sets in wireless networks

Abstract

Keywords

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