Title: Nordhaus-Gaddum Problems for Power Domination

Speaker(s): Violeta Vasilevska

Abstract: Power domination is a process on a graph that consists of finding a minimum set of vertices by following certain rules. At the end of this process, all vertices in the graph are ‘observed’ (‘colored’ with the same color).

In this talk we show how this process works and then discuss the Nordhaus-Gaddum problem for power domination. Then a few upper Nordhaus-Gaddum bounds for particular graphs will be discussed.

This is a joint work with several co-authors (REUF research group 2015 - the paper containing these results can be found on the arXiv).