Packings of pairs with a minimum known number of quadruples
Mathematica Bohemica (1995)
- Volume: 120, Issue: 4, page 367-377
- ISSN: 0862-7959
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topNovák, Jiří. "Packings of pairs with a minimum known number of quadruples." Mathematica Bohemica 120.4 (1995): 367-377. <http://eudml.org/doc/247787>.
@article{Novák1995,
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.},
author = {Novák, Jiří},
journal = {Mathematica Bohemica},
keywords = {configuration; packing of pairs; quadruples; packing of pairs with quadruples; system of quadruples; packing of $K_4$’s into $K_n$; configuration; packing of pairs; quadruples},
language = {eng},
number = {4},
pages = {367-377},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Packings of pairs with a minimum known number of quadruples},
url = {http://eudml.org/doc/247787},
volume = {120},
year = {1995},
}
TY - JOUR
AU - Novák, Jiří
TI - Packings of pairs with a minimum known number of quadruples
JO - Mathematica Bohemica
PY - 1995
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 120
IS - 4
SP - 367
EP - 377
AB - 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.
LA - eng
KW - configuration; packing of pairs; quadruples; packing of pairs with quadruples; system of quadruples; packing of $K_4$’s into $K_n$; configuration; packing of pairs; quadruples
UR - http://eudml.org/doc/247787
ER -
References
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- C. Colbourn A. Rosa Š. Znám, The spectrum of maximal partial Steiner triple systems, Math. Reports Mc. Master University. 1991. (1991)
- P. Turán, On the theory of graphs, Colloq. Math. 3 (1955), 19-30. (1955) MR0062416
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