L(2,1) coloring of the cycle C6

L(2, 1)-coloring is a particular case of L(h, k)-coloring. In an L(2, 1)-coloring of a graph, G, the vertices of G are assigned color numbers in such a way that adjacent vertices get labels that differ by at least two, and the vertices that are at a distance of two from each other get labels that differ by at least one.[1]

An L(2,1)-coloring is a proper coloring, since adjacent vertices are assigned distinct colors.

References

  1. ↑ Chartrand, Gary; Zhang, Ping (2009). "14. Colorings, Distance, and Domination". Chromatic Graph Theory. CRC Press. pp. 397–438.


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