**
MATHEMATICA BOHEMICA, Vol. 120, No. 4, pp. 367-377, 1995
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#
Packings of pairs with a minimum known number

of quadruples

##
Jiri Novak

* Jiri Novak*, Halkova 1264/1, 460 01 Liberec I, Czech Republic

**Abstract:** Let $E$ be an $n$-set. The problem of packing of pairs on $E$ with a minimum number of quadruples on $E$ is settled for $n<15$ and also for $n=36t+i$, $i=3$, $6$, $9$, $12$, where $t$ is any positive integer. In the other cases of $n$ methods have been presented for constructing the packings having a minimum known number of quadruples.

**Keywords:** packing of pairs with quadruples, system of quadruples, configuration, packing of $K_4$'s into $K_n$.

**Classification (MSC91):** 05B40, 05B05

**Full text of the article:**

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