Eternal and secure domination in graphs

WF Klostermeyer, CM Mynhardt - Topics in Domination in Graphs, 2020 - Springer
Mobile guards on the vertices of a graph are used to defend it against attacks that occur in
sequence on its vertices. Various models for this problem have been proposed. In this …

On semitotal domination in graphs

IS Aniversario, SR Canoy Jr, FP Jamil - European Journal of Pure and …, 2019 - ejpam.com
A set $ S $ of vertices of a connected graph $ G $ is a semitotal dominating set if every
vertex in $ V (G)\setminus S $ is adjacent to a vertex in $ S $, and every vertex in $ S $ is of …