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arXiv · 2006.02124

Italian domination in rooted product graphs

R. Hernandez-Ortiz·L. P. Montejano·J. A. Rodriguez-Velazquez
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Abstract

In this article, we obtain closed formulae for the Italian domination number of rooted product graphs. As a particular case of the study, we derive the corresponding formulas for corona graphs, and we provide an alternative proof that the problem of computing the Italian domination number of a graph is NP-hard.

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R. Hernandez-Ortiz, L. P. Montejano, J. A. Rodriguez-Velazquez. 2020-06-03. Italian domination in rooted product graphs. https://doi.org/10.1007/s40840-020-00962-3

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