Incidence structures of type $(p,n)$

Machala, František. "Incidence structures of type $(p, n)$." Czechoslovak Mathematical Journal 53.1 (2003): 9-18. <http://eudml.org/doc/30755>.

@article{Machala2003,
abstract = {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 $M$.},
author = {Machala, František},
journal = {Czechoslovak Mathematical Journal},
keywords = {incidence structures; independent sets; incidence structures; independent sets},
language = {eng},
number = {1},
pages = {9-18},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Incidence structures of type $(p, n)$},
url = {http://eudml.org/doc/30755},
volume = {53},
year = {2003},
}

TY - JOUR
AU - Machala, František
TI - Incidence structures of type $(p, n)$
JO - Czechoslovak Mathematical Journal
PY - 2003
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 53
IS - 1
SP - 9
EP - 18
AB - 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 $M$.
LA - eng
KW - incidence structures; independent sets; incidence structures; independent sets
UR - http://eudml.org/doc/30755
ER -