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A375603 Array read by antidiagonals: T(m,n) = domination number of the stacked prism graph C_m X P_n.

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%I A375603 #10 Aug 23 2024 12:41:36
%S A375603 1,1,1,1,2,1,2,2,2,2,2,3,3,2,2,2,3,4,3,3,2,3,4,4,4,4,4,3,3,4,5,5,6,5,
%T A375603 4,3,3,5,6,6,7,6,6,4,3,4,5,7,7,8,8,7,6,5,4,4,6,7,8,9,9,9,8,7,6,4,4,6,
%U A375603 8,9,10,10,11,10,10,8,6,4,5,7,9,10,11,12,12,12,12,10,9,6,5
%N A375603 Array read by antidiagonals: T(m,n) = domination number of the stacked prism graph C_m X P_n.
%H A375603 Stephan Mertens, <a href="/A375603/b375603.txt">Table of n, a(n) for n = 1..325</a>
%H A375603 Stephan Mertens, <a href="https://arxiv.org/abs/2408.08053">Domination Polynomials of the Grid, the Cylinder, the Torus, and the King Graph</a>, arXiv:2408.08053 [math.CO], Aug 2024.
%H A375603 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/DominantionNumber.html">Domination Number</a>.
%H A375603 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/StackedPrismGraph.html">Stacked Prism Graph</a>.
%e A375603 Table starts:
%e A375603 ====================================
%e A375603 m\n |   1   2   3    4    5    6 ...
%e A375603 ----|-------------------------------
%e A375603   1 |   1   1   1    2    2    2 ...
%e A375603   2 |   1   2   2    3    3    4 ...
%e A375603   3 |   1   2   3    4    4    5 ...
%e A375603   4 |   2   2   3    4    5    6 ...
%e A375603   5 |   2   3   4    6    7    8 ...
%e A375603   6 |   2   4   5    6    8    9 ...
%e A375603  ...
%Y A375603 Main diagonal is A375601.
%Y A375603 Cf. A286514, A350823, A375566.
%K A375603 nonn,tabl
%O A375603 1,5
%A A375603 _Stephan Mertens_, Aug 20 2024