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CORR
2011
Springer

On Approximating Four Covering and Packing Problems

8 years 10 days ago
On Approximating Four Covering and Packing Problems
In this paper, we consider approximability issues of the following four problems: triangle packing, full sibling reconstruction, maximum profit coverage and 2-coverage. All of them are generalized or specialized versions of set-cover and have applications in biology ranging from fullsibling reconstructions in wild populations to biomolecular clusterings; however, as this paper shows, their approximability properties differ considerably. Our inapproximability constant for the triangle packing problem improves upon the previous results in [16, 19]; this is done by directly transforming the inapproximability gap of H˚astad for the problem of maximizing the number of satisfied equations for a set of equations over GF(2) [26] and is interesting in its own right. Our approximability results on the full siblings reconstruction problems answers questions originally posed by Berger-Wolf et al. [6, 7] and our results on the maximum profit coverage problem provides almost matching upper and...
Mary V. Ashley, Tanya Y. Berger-Wolf, Piotr Berman
Added 13 May 2011
Updated 13 May 2011
Type Journal
Year 2011
Where CORR
Authors Mary V. Ashley, Tanya Y. Berger-Wolf, Piotr Berman, Wanpracha Art Chaovalitwongse, Bhaskar DasGupta, Ming-Yang Kao
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