Incidence structures of type $(p, n)$
Czechoslovak Mathematical Journal, Tome 53 (2003) no. 1, pp. 9-18
Voir la notice de l'article provenant de la source Czech Digital Mathematics Library
Every incidence structure ${\mathcal J}$ (understood as a triple of sets $(G, M, I)$, ${I}\subseteq G \times M$) admits for every positive integer $p$ an incidence structure ${\mathcal J}^p=(G^p, M^p, \mathrel {{\mathrm I}^p})$ where $G^p$ ($M^p$) consists of all independent $p$-element subsets in $G$ ($M$) and $\mathrel {{\mathrm I}^p}$ is determined by some bijections. In the paper such incidence structures ${\mathcal J}$ are investigated the ${\mathcal J}^p$’s of which have their incidence graphs of the simple join form. Some concrete illustrations are included with small sets $G$ and $M$.
@article{CMJ_2003__53_1_a1,
author = {Machala, Franti\v{s}ek},
title = {Incidence structures of type $(p, n)$},
journal = {Czechoslovak Mathematical Journal},
pages = {9--18},
publisher = {mathdoc},
volume = {53},
number = {1},
year = {2003},
mrnumber = {1961995},
zbl = {1015.08001},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMJ_2003__53_1_a1/}
}
Machala, František. Incidence structures of type $(p, n)$. Czechoslovak Mathematical Journal, Tome 53 (2003) no. 1, pp. 9-18. http://geodesic.mathdoc.fr/item/CMJ_2003__53_1_a1/