On the Maximum Number of Dominating Classes in Graph Coloring

Bing Zhou^{*}

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References

[1] Arumugam, S., Haynes, T.W., Henning, M.A. and Nigussie, Y. (2011) Maximal Independent Sets in Minimum Colorings. Discrete Mathematics, 311, 1158-1163.

http://dx.doi.org/10.1016/j.disc.2010.06.045

[2] Arumugam, A., Hamid, I.S. and Muthukamatchi, A. (2008) Independent Domination and Graph Clorings. Ramanujan Mathematical Society Lecture Notes Series, 7, 195-203.

[3] Arumugam, S. and Chandrasekar, K.R. (2012) Minimal Dominating Sets in Maximum Domatic Partitions. Australasian Journal of Combinatorics, 52, 281-292.

[4] Li, S., Zhang, H. and Zhang, X. (2013) Maximal Independent Sets in Bipartite Graphs with at Least One Cycle. Discrete Mathematics and Theoretical Computer Science, 15, 243-258.