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Domination-Related Parameters in Rooted Product Graphs

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Abstract

A set S of vertices of a graph G is a dominating set in G if every vertex outside of S is adjacent to at least one vertex belonging to S. A domination parameter of G is related to those sets of vertices of a graph satisfying some domination property together with other conditions on the vertices of G. Here, we investigate several domination-related parameters in rooted product graphs.

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Correspondence to Ismael G. Yero.

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Communicated by Xueliang Li.

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Kuziak, D., Lemańska, M. & Yero, I.G. Domination-Related Parameters in Rooted Product Graphs. Bull. Malays. Math. Sci. Soc. 39, 199–217 (2016). https://doi.org/10.1007/s40840-015-0182-5

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  • DOI: https://doi.org/10.1007/s40840-015-0182-5

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