Capacitated Dominating Set on Planar Graphs

@article{Becker2016CapacitatedDS,
  title={Capacitated Dominating Set on Planar Graphs},
  author={Amariah Becker},
  journal={ArXiv},
  year={2016},
  volume={abs/1604.04664}
}
Capacitated Domination generalizes the classic Dominating Set problem by specifying for each vertex a required demand and an available capacity for covering demand in its closed neighborhood. The objective is to find a minimum-sized set of vertices that can cover all of the graph’s demand without exceeding any of the capacities. In this paper we look specifically at domination with hard-capacities, where the capacity and cost of a vertex can contribute to the solution at most once. Previous… CONTINUE READING
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