Packings of pairs with a minimum known number of quadruples
Mathematica Bohemica, Tome 120 (1995) no. 4, pp. 367-377
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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 $n15$ 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.
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 $n15$ 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.
DOI :
10.21136/MB.1995.126092
Classification :
05B05, 05B40
Keywords: configuration; packing of pairs; quadruples; packing of pairs with quadruples; system of quadruples; packing of $K_4$'s into $K_n$
Keywords: configuration; packing of pairs; quadruples; packing of pairs with quadruples; system of quadruples; packing of $K_4$'s into $K_n$
Novák, Jiří. Packings of pairs with a minimum known number of quadruples. Mathematica Bohemica, Tome 120 (1995) no. 4, pp. 367-377. doi: 10.21136/MB.1995.126092
@article{10_21136_MB_1995_126092,
author = {Nov\'ak, Ji\v{r}{\'\i}},
title = {Packings of pairs with a minimum known number of quadruples},
journal = {Mathematica Bohemica},
pages = {367--377},
year = {1995},
volume = {120},
number = {4},
doi = {10.21136/MB.1995.126092},
mrnumber = {1415084},
zbl = {0843.05017},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/MB.1995.126092/}
}
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