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math.CO2026
MAD Phase Transitions in the Oriented Chromatic Number
Alexander Clow
For an oriented graph the oriented chromatic number of , written , is the least integer such that has a homomorphism to a tournament on vertices. The ori…
math.CO2026
Greedily Constructing Small Quasi-Kernels
Alexander Clow
In a digraph ,a quasi-kernel is an independent set such that for every vertex , there is a vertex satisfying . In 1974 Chvátal and Lovás…