precoloring

English

Etymology

From pre- +‎ coloring.

Noun

precoloring (countable and uncountable, plural precolorings)

1. coloring in advance
   • 2015, Gregory J. Puleo, “On an Edge Precoloring Conjecture”, in arXiv‎^[1]:

     For any matching $M$ in $G$ and any precoloring of the edges in $M$ using the colors $\{1,\ldots ,K\}$, there is some proper $K$-edge-coloring of $G$ extending the given precoloring.

2. A particular assignment of colors in a precoloring.
   • 1999, Ronald L. Graham, Contemporary Trends in Discrete Mathematics: From DIMACS and DIMATIA to the Future : DIMATIA-DIMACS Conference, Page 187:

     On the other hand, Thomassen's proof on planar graph 5 - choosability shows that some precolorings (two adjacent precolored vertices) and short lists (on the same face) allow a list coloring extension.