On minimum intersections of certain secondary dominating sets in graphs

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...

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Bibliographic Details
Main Authors: Anna Kosiorowska, Adrian Michalski, Iwona Włoch
Format: Article
Language:English
Published: AGH Univeristy of Science and Technology Press 2023-07-01
Series:Opuscula Mathematica
Subjects:
Online Access:https://www.opuscula.agh.edu.pl/vol43/6/art/opuscula_math_4339.pdf