On Critical r, λ-Systems
Canadian mathematical bulletin, Tome 19 (1976) no. 2, pp. 217-220
Voir la notice de l'article provenant de la source Cambridge University Press
Critical r, λ-systems are introduced such that any nontrivial r, λ-system must be an extension of some critical system. It is shown that parametric values for which critical systems can exist are restricted to λ(v-1) ≤ r(r-1) and, further, to λ(v-1)r(r-1) if the critical system is extendible.
Vranch, J. On Critical r, λ-Systems. Canadian mathematical bulletin, Tome 19 (1976) no. 2, pp. 217-220. doi: 10.4153/CMB-1976-034-2
@article{10_4153_CMB_1976_034_2,
author = {Vranch, J.},
title = {On {Critical} r, {\ensuremath{\lambda}-Systems}},
journal = {Canadian mathematical bulletin},
pages = {217--220},
year = {1976},
volume = {19},
number = {2},
doi = {10.4153/CMB-1976-034-2},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1976-034-2/}
}
[1] 1. Ryser, H. J., Combinatorial Mathematics, Wiley, 1963.10.5948/UPO9781614440147 Google Scholar | DOI
[2] 2. Stanton, R. G. and Mullin, R. C. Inductive Methods for BIBD’s, Ann. Math. Stat., 37 (1966), 1348–1354. Google Scholar | DOI
Cité par Sources :