Power Domination Number of Some Convex Polytopes

Abstract

The power system monitoring problem demands that a minimum number of phase measurement units to be put in an electric power system. A set  is a power dominating set of a graph  if every vertex and every edge in the graph is monitored by S. The power domination number  is the minimum cardinality of a power dominating set of G. In this paper, we investigate the power domination number of convex polytopes  and