| Title:
|
Incidence structures of type $(p, n)$ (English) |
| Author:
|
Machala, František |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
53 |
| Issue:
|
1 |
| Year:
|
2003 |
| Pages:
|
9-18 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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 $M$. (English) |
| Keyword:
|
incidence structures |
| Keyword:
|
independent sets |
| MSC:
|
06B05 |
| MSC:
|
08A02 |
| MSC:
|
08A35 |
| idZBL:
|
Zbl 1015.08001 |
| idMR:
|
MR1961995 |
| . |
| Date available:
|
2009-09-24T10:58:26Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127777 |
| . |
| Reference:
|
[1] B. Ganter and R. Wille: Formale Begriffsanalyse. Mathematische Grundlagen. (Formal Concept Analysis Mathematical Foundations).Springer-Verlag, Berlin, 1996. (German) MR 1715047 |
| Reference:
|
[2] F. Buekenhout (ed.): Handbook of Incidence Geometry: Buldings and Foundations. Chap. 6.North-Holland, Amsterdam, 1995. MR 1360715 |
| Reference:
|
[3] F. Machala: Incidence structues of indpendent sets.Acta Univ. Palacki. Olomouc, Fac. rer. nat., Mathematica 38 (1999), 113–118. MR 1767196 |
| . |
