Packings of pairs with a minimum known number of quadruples
Mathematica Bohemica, Tome 120 (1995) no. 4, pp. 367-377

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

MR Zbl
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 $K_n$
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/}
}
TY  - JOUR
AU  - Novák, Jiří
TI  - Packings of pairs with a minimum known number of quadruples
JO  - Mathematica Bohemica
PY  - 1995
SP  - 367
EP  - 377
VL  - 120
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.21136/MB.1995.126092/
DO  - 10.21136/MB.1995.126092
LA  - en
ID  - 10_21136_MB_1995_126092
ER  - 
%0 Journal Article
%A Novák, Jiří
%T Packings of pairs with a minimum known number of quadruples
%J Mathematica Bohemica
%D 1995
%P 367-377
%V 120
%N 4
%U http://geodesic.mathdoc.fr/articles/10.21136/MB.1995.126092/
%R 10.21136/MB.1995.126092
%G en
%F 10_21136_MB_1995_126092

[1] A. E. Brouwer: Optimal packings of $K_4$'s into a $K_n$. J. Combinatorial Theory 26 (1979), 278-297. | DOI | MR | Zbl

[2] H. Hanani: The existence and construction of balanced incomplete block design. Ann. Math. Statist. 32 (1961), 361-386. | DOI | MR

[3] J. Novák: Edge-bases of complete uniform hypergraphs. Mat. čas. 24 (1974), 43-57. | MR

[4] C. Colbourn A. Rosa Š. Znám: The spectrum of maximal partial Steiner triple systems. Math. Reports Mc. Master University. 1991.

[5] P. Turán: On the theory of graphs. Colloq. Math. 3 (1955), 19-30. | MR

Cité par Sources :