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math.CO2021
Vertex and Mixed -Diameter Component Connectivity
Adam Buzzard, Nathan Shank
n the -diameter component connectivity model a network is consider operational if there is a component with diameter at least . Therefore, a network is in a failure state if…
math.CO2021
On proportional network connectivity
Ashley Armbruster, Jieqi Di, Nicholas Hanson +1
The reliability of a network is an important parameter to consider when building a network. Different characteristics of the network can become unreliable over time or from other o…
math.CO2021
Partisan Combinatorial Game of Edge and Vertex Removal on Graphs
Nathan Shank, Devon Vukovich
We consider three variants of a partisan combinatorial game between two players, Left and Right, played on an undirected simple graph. Left is able to delete vertices (and incident…