6 papers
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…
Grobner bases for determinantal facet ideals of simplicial complexes
Fahimeh Khosh-Ahang Ghasr
We provide necessary and sufficient conditions for simplicial complexes whose determinantal facet ideals admit reduced Grobner bases under diagonal term orders. Building on and ext…
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…
Powers of the edge ideals and matchings in hypergraphs
Fahimeh Khosh-Ahang Ghasr
In this work, some combinatorial lower bound for regularity of powers of the edge ideal of a uniform hypergarph is gained. A family of hypergraphs whose regularity of edge ideal at…