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Note on Dominating Set Problems

  • INFORMATION TECHNOLOGY IN ENGINEERING SYSTEMS
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Abstract

This paper focuses on connected dominating set problems on a network: basic optimization formulations of problems, multicriteria problem formulations, and problem formulation with multiset estimate. A survey of the literature on problems and solution schemes is presented. Numerical examples illustrate connected dominating set problems. New integer programming formulations of dominating set problems (multicriteria problems, problems with multiset estimates) are proposed.

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    M. Sh. Levin

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Levin, M.S. Note on Dominating Set Problems. J. Commun. Technol. Electron. 66 (Suppl 1), S8–S22 (2021). https://doi.org/10.1134/S1064226921130040

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