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[Note: Now reopened!]

The question concerns the limit as $n\to\infty$ of $\gamma_t(Q_n)/n$. It is known to be between $\frac{4}{7}$ and $\frac{2}{3}$.

As connected and total domination the queen's graph have been studied together by Hedetniemi and Ameridabi in 2005, I mentioned my new formation of queens which provides connected and total dominating sets for $n$ is divisible by $6$. This formation provides the best known upper bound for $n$ divisible by $6$ and $n$ sufficiently large. Thus, the newer formation was used as an example along with my mentioning of Welsch's formation.

This is publishable material I feel that I've chosen to share. However, as I'm no longer an academic, I prefer mathoverflow for recreational questions like these.

Please take a look and consider it!

https://mathoverflow.net/questions/167839/is-there-a-formation-of-queens-on-n-times-n-board-that-shows-the-limit-as-n-t

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    $\begingroup$ The edited question does seem quite reasonable to me. I found the original question difficult to follow, and had voted to close. I have now voted to reopen. $\endgroup$ – Lucia May 29 '14 at 15:43

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