ZERO FORCING NUMBER AND MAXIMUM NULLITY OF GENERAL POWER GRAPHS | ||
| Journal of Algebraic Systems | ||
| دوره 13، شماره 3، بهمن 2025، صفحه 15-27 اصل مقاله (158.12 K) | ||
| نوع مقاله: Original Manuscript | ||
| شناسه دیجیتال (DOI): 10.22044/jas.2023.13260.1737 | ||
| نویسندگان | ||
| Fateme Kheiridosst1؛ Ebrahim Vatandoost* 2 | ||
| 1Department of Mathematics, Faculty of Basic Science, Imam Khomeini International University, P.O. Box 34148-96818, Qazvin, Iran | ||
| 2Department of Mathematics, Faculty of Basic Science, Imam Khomeini International University, P.O. Box 34148-96818, Qazvin, Iran. | ||
| چکیده | ||
| Let 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. | ||
| کلیدواژهها | ||
| Power set؛ Zero forcing set؛ Maximum nullity | ||
| مراجع | ||
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