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A152682
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The smallest value of the largest label for which there exists an edge-magic injection of the complete graph K_n on n vertices.
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1
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1, 3, 6, 11, 15, 21, 32, 46, 64, 86, 110
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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REFERENCES
| A. Kotzig and A. Rosa. Magic Valuations of Finite Graphs. Canad. Math. Bull. v.13 (1970), pp.451-461.
J. P. McSorley and J. A. Trono. On k-minimum and m-minimum Edge-Magic Injections of Graphs. Preprint, (2008).
W. D. Wallis. Magic Graphs. Birkhauser, (2001). Section 2.10.
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EXAMPLE
| a(4)=11 because when forming an edge-magic injection of K_4 we must use at least the first 10 natural numbers {1,2,...10}
since K_4 has a total of 10 vertices and edges. However this is not possible. But there is an edge-magic injection
using the set {1,2,....11}\{4}, namely with {1,2,3,5} as the vertex labels.
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CROSSREFS
| See related sequence A129413 which concerns the smallest value of the magic sum of an edge-magic injection of K_n.
Sequence in context: A187896 A067278 A113960 * A059753 A131665 A132158
Adjacent sequences: A152679 A152680 A152681 * A152683 A152684 A152685
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KEYWORD
| nonn
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AUTHOR
| John P McSorley (mcsorley60(AT)hotmail.com), Dec 10 2008
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