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math.CO2026
Jaeger-type orientations of random regular graphs
Catherine Greenhill, Mikhail Isaev, Charles Lewis
We consider -orientations, which are defined to be orientations of -regular graphs such that every vertex either has in-degree or out-degree . These generalise the ori…
math.CO2026
Canonical labelling of random regular graphs
Mikhail Isaev, Tamás Makai, Brendan McKay +3
We prove that whenever and as , then with high probability for any non-trivial initial colouring, the colour refinement algorithm disti…