2 papers
math.CO2022
Graphs of scramble number two
Robin Eagleton, Ralph Morrison
The scramble number of a graph provides a lower bound for gonality and an upper bound for treewidth, making it a graph invariant of interest. In this paper we study graphs of scram…
math.CO2020
The damage throttling number of a graph
Joshua Carlson, Robin Eagleton, Jesse Geneson +3
The cop throttling number of a graph, introduced in 2018 by Breen et al., optimizes the balance between the number of cops used and the number of rounds required to catch the robbe…