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math.CO2023
A Linear Kernel for Planar Vector Domination
Mahabba El Sahili, Faisal N. Abu-Khzam
Given a graph , an integer , and a non-negative integral function , the Vector Domination problem asks whether a set of vertices, of…
math.CO2021
A Note on the Maximum Number of Minimal Connected Dominating Sets in a Graph
Faisal N. Abu-Khzam
We prove constructively that the maximum possible number of minimal connected dominating sets in a connected undirected graph of order is in . This improves the pre…