N. Besharati

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math.CO2025

Global coalition sets in graphs

Nazli Besharati, Doost Ali Mojdeh, Mohammad Reza Samadzadeh +1

Let $G = (V, E)$ be a graph. A subset $S \subseteq V$ is called a global dominating set of $G$ , if it serves as a dominating set in both $G$ and its complement $G$ . We defi…

math.CO2025

Edge Coalitions in Graphs

Nazli Besharati, Azam Sadat Emadi, Iman Masoumi

Coalition concepts have been extensively studied in domination theory for vertex sets, whereas their edge counterparts have remained largely unexplored. Motivated by this, we intro…

math.CO2023

Edge coalitions in graphs

Nazli Besharati, Azam Sadat Emadi, Iman Masoumi

An edge coalition in a graph $G = (V, E)$ consists of two disjoint sets of edges $E_{1}$ and $E_{2}$ , neither of which is an edge dominating set but whose union $E_{1} \cup E_{2}$ is an edge d…