4 papers · 1 filter
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…
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…
Generalizations of interval and proper interval graphs for simplicial complexes
Fahimeh Khosh-Ahang Ghasr
We introduce and investigate generalizations of interval and proper interval graphs to simplicial complexes, including strong interval, unit interval, and under closed variants. Th…
On a generalization of Roman domination with more legions
Fahimeh Khosh-Ahang Ghasr
In this note, we generalize the concepts of (perfect) Roman and Italian dominations to (perfect) strong Roman and Roman k-domination for arbitrary positive integer k. These general…