ZERO FORCING NUMBER AND MAXIMUM NULLITY OF GENERAL POWER GRAPHS

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Kheyridoost Fateme; Vatandoost Ebrahim

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Journal Paper

Paper Information

Journal: Journal of Algebraic Systems Year:2025 | Volume:13 | Issue:3 Page(s): 15-27

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Information Journal Paper

Title

ZERO FORCING NUMBER AND MAXIMUM NULLITY OF GENERAL POWER GRAPHS

Author(s)

Kheyridoost Fateme | Vatandoost Ebrahim | Issue Writer Certificate

Keywords

Power set

Zero forcing set

Maximum nullity

Abstract

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.

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