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单词 Guy's Conjecture
释义

Guy's Conjecture

Guy's conjecture, which has not yet been proven or disproven, states that the Crossing Number for a Complete Graph of order is


where is the Floor Function,which can be rewritten


The first few values are 0, 0, 0, 0, 1, 3, 9, 18, 36, 60, ... (Sloane's A000241).

See also Crossing Number (Graph)


References

Sloane, N. J. A. SequenceA000241/M2772in ``An On-Line Version of the Encyclopedia of Integer Sequences.''http://www.research.att.com/~njas/sequences/eisonline.html and Sloane, N. J. A. and Plouffe, S.The Encyclopedia of Integer Sequences. San Diego: Academic Press, 1995.


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