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A332400
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Triangle read by rows: T(n,k) is the number of graphs on n unlabeled nodes with total domination number k, n >= 2, 2 <= k <= n.
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3
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1, 2, 0, 6, 0, 1, 19, 2, 2, 0, 96, 14, 11, 0, 1, 670, 163, 51, 2, 2, 0, 8191, 2583, 495, 21, 11, 0, 1, 183149, 70667, 8127, 314, 61, 2, 2, 0, 7888271, 3566498, 268125, 6929, 644, 21, 11, 0, 1
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OFFSET
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2,2
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COMMENTS
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Only graphs without isolated nodes can have a total dominating set.
The total domination number of a graph is greater than or equal to the domination number.
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LINKS
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FORMULA
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T(2*n, 2*n) = 1; T(2*n+1, 2*n) = 2; T(2*n+1, 2*n+1) = T(2*n+2, 2*n+1) = 0.
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EXAMPLE
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Triangle begins, n >= 2, k >= 2:
1;
2, 0;
6, 0, 1;
19, 2, 2, 0;
96, 14, 11, 0, 1;
670, 163, 51, 2, 2, 0;
8191, 2583, 495, 21, 11, 0, 1;
183149, 70667, 8127, 314, 61, 2, 2, 0;
7888271, 3566498, 268125, 6929, 644, 21, 11, 0, 1;
...
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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