3-consecutive C-colorings of graphs

@article{Bujts20103consecutiveCO,
  title={3-consecutive C-colorings of graphs},
  author={Csilla Bujt{\'a}s and Charles Dominic and E. Sampathkumar and M. S. Subramanya and Zsolt Tuza},
  journal={Discuss. Math. Graph Theory},
  year={2010},
  volume={30},
  pages={393-405}
}
A 3-consecutive C-coloring of a graph G = (V;E) is a mapping ’ : V !N such that every path on three vertices has at most two colors. We prove general estimates on the maximum number „ ´3CC(G) of colors in a 3-consecutive C-coloring of G, and characterize the structure of connected graphs with „ ´3CC(G) ‚ k for k = 3 and k = 4. 

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