Shahrood University of TechnologyJournal of Algebraic Systems2345-5128Articles in Press20240409Zero Forcing Number and Maximum Nullity of General Power Graphs312310.22044/jas.2023.13260.1737ENEbrahim VatandoostImam Khomeini International UniversityFateme KheiridosstDepartment of Pure Mathematics
Faculty of Basic Science
Imam Khomeini International UniversityJournal Article20230618Let Γ = (V,E) be a simple and undirected graph. General power graph of Γ, shown by Pg(Γ), is a graph with the vertex set P(V (Γ))\ϕ. Also two distinct vertices of B and C are adjacent if and only if every b ∈ B is adjacent to every c ∈ C \{b} in Γ. In this paper, we consider general power graph related to graph Γ. Also we show that zero forcing number is equal to maximum nullity, for general power graph of some graphs.