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connected dominating set; connected domatic number; planar

References:

[CL86] G. Chartrand and L. Lesniak: **Graphs and Digraphs**. Prindle, Weber & Schmidt, Boston, 1986. MR 0834583

[H96] S. T. Hedetniemi: **personal communication**.

[HHR97] S. M. Hedetniemi, S. T. Hedetniemi and R. Reynolds: **Combinatorial Problems on Chessboards: II, Chapter 6**. Domination in Graphs: Advanced Topics, Marcel Dekker, Inc., New York, 1997.

[HL84] S. T. Hedetniemi and R. Laskar: **Connected domination in graphs**. Graph Theory and Combinatorics, Academic Press, London-New York, 1984, pp. 209–217. MR 0777177

[SW79] E. Sampathkumar and H. B. Walikar: **The connected domination number of a graph**. J. Math. Phys. Sci. 13 (1979), 607–613. MR 0575817

[Z86] B. Zelinka: **Connected domatic number of a graph**. Math. Slovaca 36 (1986), 387–392. MR 0871778 | Zbl 0625.05042