Definition:Steiner Triple System
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Definition
A Steiner triple system of order $v$ is a BIBD with block size $3$, and each pair of points occurring together in exactly $1$ block (called a triple).
Notation
- $\operatorname{BIBD} \left({v, b, r, 3, 1}\right)$
- $\operatorname{BIBD} \left({v, 3, 1}\right)$
- $\operatorname{STS} \left({v}\right)$
Source of Name
This entry was named for Jakob Steiner.