A. Jafari

collaborators

3 papers

math.CO2025

$k$ -Fair Coalitions in Graphs

Abbas Jafari, Saeid Alikhani

Let $G = (V, E)$ be a simple graph. A subset $S \subseteq V$ is called a $k$ -fair dominating set if every vertex not in $S$ has exactly $k$ neighbors in $S$ . Two disjoint sets $A, B…

math.CO2025

Fair coalition in graphs

Saeid Alikhani, Abbas Jafari, Maryam Safazadeh

Let $G = (V, E)$ be a simple graph. A dominating set of $G$ is a subset $D \subseteq V$ such that every vertex not in $D$ is adjacent to at least one vertex in $D$ . The cardinality of…

math.CO2024

$k$ -Coalitions in Graphs

Abbas Jafari, Saeid Alikhani, Davood Bakhshesh

In this paper, we propose and investigate the concept of $k$ -coalitions in graphs, where $k \geq 1$ is an integer. A $k$ -coalition refers to a pair of disjoint vertex sets that joint…

k-Fair Coalitions in Graphs

Fair coalition in graphs

k-Coalitions in Graphs

$k$ -Fair Coalitions in Graphs

$k$ -Coalitions in Graphs