Solving the Connected Dominating Set Problem and Power Dominating Set Problem by Integer Programming

摘要

In this paper, we propose several integer programming approaches with a polynomial number of constraints to formulate and solve the minimum connected dominating set problem. Further, we consider both the power dominating set problem - a special dominating set problem for sensor placement in power systems - and its connected version. We propose formulations and algorithms to solve these integer programs, and report results for several power system graphs.