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arXiv · 2311.06490

Integer Programming Formulations and Probabilistic Bounds for Some Domination Parameters

Mhelmar A. Labendia·Clifford R. Pornia
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Abstract

In this paper, we further study the concepts of hop domination and 2-step domination and introduce the concepts of restrained hop domination, total restrained hop domination, 2-step restrained domination, and total 2-step restrained domination in graphs. We then construct integer programming formulations and present probabilistic upper bounds for these domination parameters.

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Mhelmar A. Labendia, Clifford R. Pornia. 2023-11-11. Integer Programming Formulations and Probabilistic Bounds for Some Domination Parameters. https://arxiv.org/abs/2311.06490

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