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math.CO2022
The distinguishing index of graphs with infinite minimum degree
Marcin Stawiski, Trevor M. Wilson
The distinguishing index of a graph is the least number of colors necessary to obtain an edge coloring of that is preserved only by the trivial automorphism. We sho…
math.CO2022
Distinguishing regular graphs from lists
Jakub Kwaśny, Marcin Stawiski
An edge colouring of a graph is called distinguishing if there is no non-trivial automorphism which preserves it. We prove that every at most countable, finite or infinite, connect…