Department of Algebra and Geometry, Faculty of Science, Palacky University, Tomkova 40, 779 00 Olomouc, Czech Republic, e-mail: machala@risc.upol.cz
Abstract: Every incidence structure ${\Cal J}$ (understood as a triple of sets $(G, M, \I)$, ${\I}\subseteq G \times M$) admits for every positive integer $p$ an incidence structure ${\Cal J}^p=(G^p, M^p, \Ip)$ where $G^p$ ($M^p$) consists of all independent $p$-element subsets in $G$ ($M$) and $\Ip$ is determined by some bijections. In the paper such incidence structures ${\Cal J}$ are investigated the ${\Cal J}^p$'s of which have their incidence graphs of the simple join form. Some concrete illustrations are included with small sets $G$ and $M$.
Keywords: incidence structures, independent sets
Classification (MSC 2000): 06B05, 08A35
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