Definition: 1) The assignment of k colors (or any distinct marks) to the vertices of a graph. 2) The assignment of k colors to the edges of a graph.
A coloring is a proper coloring if no two adjacent vertices or edges have the same color.
See also edge coloring, vertex coloring.
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Entry modified 17 December 2004.
HTML page formatted Fri Mar 25 16:20:34 2011.
Cite this as:
Mustafa Ege, "k-coloring", in Dictionary of Algorithms and Data Structures [online], Paul E. Black, ed., U.S. National Institute of Standards and Technology. 17 December 2004. (accessed TODAY) Available from: http://www.nist.gov/dads/HTML/kcoloring.html