Fahimeh Khosh-Ahang Ghasr

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20222026

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math.CO2026

Bounds for (strong) Roman $k$ -dominations

Fahimeh Khosh-Ahang Ghasr

Motivated by resource defense models in networks, such as protecting territories with varying legion strengths, let $k \geq 2$ be an integer. Roman $k$ -domination and strong Roman…

math.CO2026

Total Roman bondage number of a graph

Fahimeh Khosh-Ahang Ghasr, Sakineh Nazari-Moghaddam

A total Roman dominating function (TRDF) on a graph $G$ with no isolated vertices is a function $f : V (G) \to {0, 1, 2}$ such that every vertex $v$ with $f (v) = 0$ has a neighbor assigne…

Bounds for (strong) Roman k-dominations

Total Roman bondage number of a graph

Bounds for (strong) Roman $k$ -dominations