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math.CO2023
Triangle-degree and triangle-distinct graphs
Zhanar Berikkyzy, Beth Bjorkman, Heather Smith Blake +5
Let be a simple graph and be a vertex of . The triangle-degree of in is the number of triangles that contain . While every graph has at least two vertices wit…
math.CO2023
Introduction to Robust Power Domination
Beth Bjorkman, Esther Conrad
Sensors called phasor measurement units (PMUs) are used to monitor the electric power network. The power domination problem seeks to minimize the number of PMUs needed to monitor t…
math.CO2023
The Power Domination Toolbox
Johnathan Koch, Beth Bjorkman
Phasor Measurement Units (PMUs) are placed at strategic vertices in an electrical power network to monitor the flow of power. Determining the minimum number and optimal placement o…