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Given a graph $G$, a dominating set is a set of vertices $D$ such that every vertex of $G$ is in $D$ or adjacent to a vertex in $D$.

2 votes

Is the domination number of a combinatorial design determined by the design parameters?

Gordon has done a proper search of $(15,3,1)$-designs. I guess my incorrect reasoning does lead to a computer-free proof for (15,3,13)-designs. This is kind of cheating though, because there are rep …
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