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arXiv:2311.06490 [math.CO]AbstractReferencesReviewsResources

Integer Programming Formulations and Probabilistic Bounds for Some Domination Parameters

Mhelmar A. Labendia, Clifford R. Pornia

Published 2023-11-11Version 1

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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