21 citations · 31 across the 14 of their papers we have counts for
4 papers · 1 filter
Power domination throttling
Boris Brimkov, Joshua Carlson, Illya V. Hicks +2
A power dominating set of a graph is a set that colors every vertex of according to the following rules: in the first timestep, every vertex in be…
Throttling positive semidefinite zero forcing propagation time on graphs
Joshua Carlson, Leslie Hogben, Jürgen Kritschgau +4
Zero forcing is a process on a graph that colors vertices blue by starting with some of the vertices blue and applying a color change rule. Throttling minimizes the sum of the size…
Throttling for Zero Forcing and Variants
Joshua Carlson
Zero forcing is a process on a graph in which the goal is to force all vertices to become blue by applying a color change rule. Throttling minimizes the sum of the number of vertic…
Lower Bounds for the Exponential Domination Number of
Chassidy Bozeman, Joshua Carlson, Michael Dairyko +2
A vertex in a porous exponential dominating set assigns weight to vertex . A porous exponential dominating set of a graph is a su…