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math.CO2026
Bounds for (strong) Roman -dominations
Fahimeh Khosh-Ahang Ghasr
Motivated by resource defense models in networks, such as protecting territories with varying legion strengths, let be an integer. Roman -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 with no isolated vertices is a function such that every vertex with has a neighbor assigne…