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Tutte 12-cage

In the mathematical field of graph theory, the Tutte 12-cage or Benson graph is a 3-regular graph with 126 vertices and 189 edges named after W. T. Tutte.The Tutte 12-cage is the unique (3-12)-cage (s ...

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15 and 290 theorems

The 15 theorem of John H. Conway and W. A. Schneeberger (Conway–Schneeberger Fifteen Theorem), proved in 1993, states that if an integral quadratic form with integer matrix represents all positive int ...

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Ordered Bell number

In number theory and enumerative combinatorics, the ordered Bell numbers or Fubini numbers count the number of weak orderings on a set of n elements (orderings of the elements into a sequence allowing ...