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Mixing Homomorphisms, Recolorings, and Extending Circular Precolorings

Mixing Homomorphisms, Recolorings, and Extending Circular Precolorings

Abstract This work brings together ideas of mixing graph colorings, discrete homotopy, and precoloring extension. A particular focus is circular colorings. We prove that all the ā€colorings of a graph G can be obtained by successively recoloring a single vertex provided along the lines of Cereceda, van den Heuvel, and ā€¦