Definition: An assignment of colors (or any distinct marks) to the vertices of a graph. Strictly speaking, a coloring is proper if no two adjacent vertices have the same color.
See also edge coloring, k-coloring, vertex cover, chromatic number.
Note: From Algorithms and Theory of Computation Handbook, Copyright © 1999 by CRC Press LLC. Appearing in the Dictionary of Computer Science, Engineering and Technology, Copyright © 2000 CRC Press LLC.
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Entry modified 17 December 2004.
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Cite this as:
Paul E. Black and Algorithms and Theory of Computation Handbook, CRC Press LLC, 1999, "vertex 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/vertexcolor.html