Papers › The Power Domination Toolbox
The Power Domination Toolbox
Johnathan Koch, Beth Bjorkman
The archive published only this paper's code-link row. Authors, date and abstract are from arXiv's metadata (CC0), read from the Kaggle arXiv metadata snapshot of 2026-09-12 where its title matched the archive's; the title is the archive's.
Phasor Measurement Units (PMUs) are placed at strategic vertices in an electrical power network to monitor the flow of power. Determining the minimum number and optimal placement of PMUs is modeled by the graph theoretic process called Power Domination. This paper describes the Power Domination Toolbox (PDT), which efficiently identifies a minimum number of PMU locations that monitor the entire network. The PDT leverages graph theoretic literature to reduce the complexity of determining optimal PMU placements by: reducing the order of the graph (contraction), leveraging zero forcing forts, sorting the remaining solution space, and parallel computing. The PDT is a drop-in replacement of the current state-of-the-art exhaustive search algorithm in Python and maintains compatibility with SageMath. The PDT can identify minimum PMU placements for graphs with hundreds of vertices on personal computers and can analyze larger graphs on high performance computers. The PDT affords users the ability to investigate power domination on graphs previously considered infeasible due to the number of vertices resulting in a prohibitively long run-time.
Code
Repository list and official/mentioned flags are the archive's, frozen 2025-07-28. Reachability, where shown, is from one Syntology probe window (2026-09-16 to 2026-09-18); repositories not probed show nothing. GitHub stars are not tracked.
Code Syntology ran Syntology
Not run by Syntology. Nothing on this page verifies that the listed code works.
Results from the paper archive 2025-07-28
No leaderboard rows for this paper in the archive.
Report a problem or propose a change · a person checks every report against the paper or source before anything changes; decisions are listed on /corrections