2-limited broadcast domination on grid graphs

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چکیده

We establish upper and lower bounds for the 2-limited broadcast domination number of various grid graphs, in particular Cartesian product two paths, a path cycle, cycles. The are derived by explicit constructions. obtained via linear programming duality finding fractional multipacking numbers these graphs.

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ژورنال

عنوان ژورنال: Discrete Applied Mathematics

سال: 2023

ISSN: ['1872-6771', '0166-218X']

DOI: https://doi.org/10.1016/j.dam.2023.05.031