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A129413 The smallest value of a magic sum among all edge-magic injections of the complete graph K_n on n vertices. 2
1, 6, 9, 14, 18, 25, 38, 51, 71, 89, 116 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

REFERENCES

W. D. Wallis. Magic Graphs. Birkhauser, (2001). Section 2.3.3.

LINKS

Table of n, a(n) for n=1..11.

J. P. McSorley and J. A. Trono, On k-minimum and m-minimum Edge-Magic Injections of Graphs, Discrete Mathematics, Volume 310, Issue 1, 6 January 2010, Pages 56-69.

W. D. Wallis, E. T. Baskoro, M. Miller and Slamin, Edge-Magic Total Labellings, Australas. J. Comb. v.22, (2000), pp.177-190. Section 7.1.

EXAMPLE

a(3)=9 because in an edge-magic injection of the complete graph K_3 the smallest value that the largest label used can be is 6.

Then the other two labels sum to at least 1+2.

Hence the smallest that the magic sum can be is 6+1+2=9, and such an edge-magic injection of K_3 with magic sum 9 exists.

CROSSREFS

Sequence in context: A315984 A133796 A315985 * A315986 A190461 A095098

Adjacent sequences:  A129410 A129411 A129412 * A129414 A129415 A129416

KEYWORD

nonn,more

AUTHOR

John P. McSorley, Aug 25 2008

STATUS

approved

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Last modified August 10 02:28 EDT 2020. Contains 336367 sequences. (Running on oeis4.)