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math.CO2021
Symmetry Parameters of Various Hypercube Families
Debra Boutin, Sally Cockburn, Lauren Keough +2
In this paper we study the symmetry parameters determining number, distinguishing number, and cost of 2-distinguishing, for some variations on hypercubes, namely Hamming graphs, po…
math.CO2021
Paint Cost and the Frugal Distinguishing Number
Debra Boutin
You are handed a graph with vertices in a neutral color and asked to color a subset of vertices with expensive paints in colors in such a way that only the trivial symmetry pre…
math.CO2021
Symmetry Parameters for Mycielskian Graphs
Debra Boutin, Sally Cockburn, Lauren Keough +3
The Mycielskian construction, denoted , takes a finite simple graph to a larger graph with of the same clique number but larger chromatic number. The generalized Mycielsk…