14 citations · 14 across the 4 of their papers we have counts for
4 papers
Leaky Forcing: Extending Zero Forcing Results to a Fault-Tolerant Setting
Beth Bjorkman, Lei Cao, Franklin Kenter +3
We study a recent variation of zero forcing called leaky forcing. Zero forcing is a propagation process on a network whereby some nodes are initially blue with all others white. Bl…
Coperfectly Hopfian Groups and Shape Fibrator's Properties
Violeta Vasilevska
This paper provides further investigation of the concept of shape m-fibrators (previously introduced by the author). The main results identify shape m-f…
Note on Nordhaus-Gaddum problems for power domination
Katherine F. Benson, Daniela Ferrero, Mary Flagg +3
The upper and lower Nordhaus-Gaddum bounds over all graphs for the power domination number follow from known bounds on the domination number and examples. In this note we improve t…
Power domination and zero forcing
Katherine F. Benson, Daniela Ferrero, Mary Flagg +4
The power domination number arises from the monitoring of electrical networks and its determination is an important problem. Upper bounds for power domination numbers can be obtain…