Jukka Suomela

Approximability of identifying codes and locating-dominating codes

Information Processing Letters · volume 103, issue 1, pages 28–33, June 2007 · doi:10.1016/j.ipl.2007.02.001

author’s version publisher’s version

Abstract

We study the approximability and inapproximability of finding identifying codes and locating-dominating codes of the minimum size. In general graphs, we show that it is possible to approximate both problems within a logarithmic factor, but sublogarithmic approximation ratios are intractable. In bounded-degree graphs, there is a trivial constant-factor approximation algorithm, but arbitrarily low approximation ratios remain intractable. In so-called local graphs, there is a polynomial-time approximation scheme. We also consider fractional packing of codes and a related problem of finding minimum-weight codes.

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© Elsevier 2007

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