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20172022
most citedThe relationship between -forcing and -power domination

2 citations · 2 across the 2 of their papers we have counts for

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6 papers · 1 filter

math.CO2022

Power domination reconfiguration

Beth Bjorkman, Chassidy Bozeman, Daniela Ferrero +5

The study of token addition and removal and token jumping reconfiguration graphs for power domination is initiated. Some results established here can be extended by applying the me…

math.CO2020

Product Throttling

Sarah E. Anderson, Karen L. Collins, Daniela Ferrero +4

Throttling addresses the question of minimizing the sum or the product of the resources used to accomplish a task and the time needed to complete that task for various graph search…

math.CO2020

Product throttling for power domination

Sarah E. Anderson, Karen L. Collins, Daniela Ferrero +4

The product power throttling number of a graph is defined to study product throttling for power domination. The domination number of a graph is an upper bound for its product power…

math.CO2018

Rigid linkages and partial zero forcing

Daniela Ferrero, Mary Flagg, H. Tracy Hall +5

Connections between vital linkages and zero forcing are established. Specifically, the notion of a rigid linkage is introduced as a special kind of unique linkage and it is shown t…

math.CO2017

Restricted power domination and zero forcing problems

Chassidy Bozeman, Boris Brimkov, Craig Erickson +3

Power domination in graphs arises from the problem of monitoring an electric power system by placing as few measurement devices in the system as possible. A power dominating set of…

math.CO20172 cited

The relationship between -forcing and -power domination

Daniela Ferrero, Leslie Hogben, Franklin H. J. Kenter +1

Zero forcing and power domination are iterative processes on graphs where an initial set of vertices are observed, and additional vertices become observed based on some rules. In b…