@Article{Kosiorowska2023,
author = "Kosiorowska, Anna and Michalski, Adrian and Włoch, Iwona",
title = "On minimum intersections of certain secondary dominating sets in graphs",
journal = "Opuscula Math.",
year = "2023",
volume = "43",
number = "6",
pages = "813--827",
doi = "https://doi.org/10.7494/OpMath.2023.43.6.813",
url = "https://doi.org/10.7494/OpMath.2023.43.6.813",
abstract = "In this paper we consider secondary dominating sets, also named as \((1,k)\)-dominating sets, introduced by Hedetniemi et al. in 2008. In particular, we study intersections of the \((1,1)\)-dominating sets and proper \((1,2)\)-dominating sets. We introduce \((1,\overline{2})\)-intersection index as the minimum possible cardinality of such intersection and determine its value for some classes of graphs.",
keywords = "dominating set, 2-dominating set, \((1,2)\)-dominating set, proper \((1,2)\)-dominating set, domination numbers, \((1,\overline{2})\)-intersection index",
issn = "1232-9274"
}