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math.CO2022
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…
math.AC2022
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…