Daniela Ferrero, Texas State University
Authors: Sarah E. Anderson; Karen L. Collins; Daniela Ferrero; Leslie Hogben; Carolyn Mayer; Ann N. Trenk; Shanise Walker
2022 AWM Research Symposium
Women in Graph Theory and Applications

Power domination is a particular form of graph searching in which an initial step of standard graph domination is followed by a zero forcing process. Power domination was introduced independently from zero forcing, as a model for the monitoring process of electrical power networks. As electrical power systems become increasingly more complex, so does their monitoring process. Initially aimed at preventing blackouts and power surges, nowadays the infrastructure used for monitoring power systems is also used to enhance the quality of their service. As a result, new questions about the power domination problem in graphs have also appeared. In particular, the interest on the trade-off between time and costs involved in a power domination process, leads to the study of product throttling for power domination, which is the focus of this talk.

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