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math.CO2024
Perfect coalition in graphs
Doost Ali Mojdeh, Mohammad Reza Samadzadeh
\noindent A perfect dominating set in a graph is a subset such that each vertex in has exactly one neighbor in . A perfect coalition in…
math.CO2024
e-injective coloring: injective and 2-distance colorings conjectures
Shahrzad Sadat Mirdamad, Doost Ali Mojdeh
An injective coloring of a given graph G = (V, E) is a vertex coloring of G such that any two vertices with common neighbor receive distinct colors. An e-injective coloring of a gr…
math.CO2024
Paired coalition in graphs
Mohammad Reza Samadzadeh, Doost Ali Mojdeh, Reza Nadimi
\noindent A paired coalition in a graph consists of two disjoint sets of vertices and , neither of which is a paired dominating set but whose union $V_1 \cup V…