Benutzer Diskussion:Clausjkg

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Laut Steiner triple systems, von 16:19, 16 July 2012 gilt, dass up to isomorphism, the STS(7) and STS(9) are unique, there are two STS(13)s, 80 STS(15)s, and 11,084,874,829 STS(19)s. Also:

  • n = 3 --- 1 --- 3*2/6 = 1, nämlich {1; 2; 3}
  • n = 5 --- 0
  • n = 7 --- 1 --- 7*6/6 = 7, nämlich {1; 2; 3}, {1; 4; 5}, {1; 6; 7}, {2; 4; 6}, {2; 5; 7}, {3; 4; 7}, {3; 5; 6} oder {1; 2; 4}, {1; 3; 7}, {1; 5; 6}, {2; 3; 5}, {2; 6; 7}, {3; 4; 6}, {4; 5; 7}
  • n = 9 --- 1 --- 9*8/6 = 12, nämlich {1; 2; 3}, {1; 4; 7}, {1; 5; 9}, {1; 6; 8}, {2; 4; 9}, {2; 5; 8}, {2; 6; 7}, {3; 4; 8}, {3; 5; 7}, {3; 6; 9}; {4; 5; 6}, {7; 8; 9}
  • n = 11 --- 0
  • n = 13 --- 2
  • n = 15 --- 80
  • n = 17 --- 0
  • n = 19 --- 11.084.874.829

--Clausjkg (Diskussion) 16:15, 17. Jul. 2012 (CEST)[Beantworten]