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Border-domination number of queen graph for n X n board.
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%I #39 Mar 20 2024 03:02:04

%S 1,1,2,2,3,4,5,6,6,6,9,10,9,12,13,10,14,16,13,18,19,14,21,22,17,24,25,

%T 18,25,28,21,30

%N Border-domination number of queen graph for n X n board.

%D Teresa W. Haynes, Stephen T. Hedetniemi and Michael A. Henning (eds.), Structures of Domination in Graphs, Springer, 2021. See Table 13 on p. 368.

%H Andy Huchala, <a href="/A140859/a140859.py.txt">Python program</a>.

%H A. Sinko and P. J. Slater, <a href="http://dx.doi.org/10.1016/j.disc.2007.08.065">Queen's domination using border squares and (A,B)-restricted domination</a>, Discrete Math., 308 (2008), 4822-4828.

%F 2*n - 9/2 - sqrt(8*n^2 - 40*n + 49)/2 <= a(n) <= n-2 for all n > 3, from Sinko and Slater paper. - _Andy Huchala_, Mar 09 2024

%Y Cf. A075458.

%K nonn,more

%O 1,3

%A _N. J. A. Sloane_, Sep 04 2008

%E a(14)-a(24) from "Structures of Domination in Graphs" added by _Andrey Zabolotskiy_, Sep 02 2021

%E a(25)-a(31) from _Andy Huchala_, Mar 05 2024

%E a(32) from _Andy Huchala_, Mar 20 2024