Random graph coloring and the instability
Akito Tsuboi · Mathematical logic quarterly · 2024
Abstract This paper explores the coloring problem, focusing on the existence of uniformly colored substructures. The study primarily examines random graphs with edge coloring and their generic substructures. The key finding is that the absence of a monochromatic generic substructure corresponds to increased instability, meaning that the colored random graph hereditarily possesses the strict order property.