TY  - JOUR
ID  - Kosiorowska2023
LB  - Kosiorowska2023
AU  - Kosiorowska, Anna
AU  - Michalski, Adrian
AU  - Włoch, Iwona
TI  - On minimum intersections of certain secondary dominating sets in graphs
ST  - On minimum intersections of certain secondary dominating sets in graphs
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2023
VL  - 43
IS  - 6
SP  - 813
EP  - 827
DO  - https://doi.org/10.7494/OpMath.2023.43.6.813
UR  - https://doi.org/10.7494/OpMath.2023.43.6.813
AB  - 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.
KW  - dominating set
KW  - 2-dominating set
KW  - \((1,2)\)-dominating set
KW  - proper \((1,2)\)-dominating set
KW  - domination numbers
KW  - \((1,\overline{2})\)-intersection index
SN  - 1232-9274
ER  -