I am looking for graphs which the value of a minimum dominating set is known (Where can I find a data set of graphs with known domination numbers?). So far I have not found anything, so perhaps I missed a search term. Does anybody know if dominating set goes by some other name?

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    $\begingroup$ 1. What's a data set graph? 2. What research have you done to learn about the minimum dominating set problem? Where have you looked? $\endgroup$ – D.W. Aug 2 '16 at 21:37

No, dominating set is a common name, and I've never seen another name for the definition. You might get luckier if you search for domination number though, that's the size of a minimum dominating set.


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