2005 European Conference on Combinatorics, Graph Theory and Applications (EuroComb '05)
Stefan Felsner (ed.)
DMTCS Conference Volume AE (2005), pp. 229-230
| author: | Gyula O.H. Katona |
|---|---|
| title: | Excluded subposets in the Boolean lattice |
| keywords: | extremal problems, families of subsets |
| abstract: |
We are looking for the maximum number of subsets of an
n
-element set not containing
4
distinct subsets satisfying
A ⊂B, C ⊂B, C ⊂D
. It is proved that this number is at least the
number of the
⌊n / 2⌋
-element sets times
1+2 / n
, on the other hand an upper bound is given with
4
replaced by the value
2
.
|
| If your browser does not display the abstract correctly (because of the different mathematical symbols) you may look it up in the PostScript or PDF files. | |
| reference: | Gyula O.H. Katona (2005), Excluded subposets in the Boolean lattice, in 2005 European Conference on Combinatorics, Graph Theory and Applications (EuroComb '05), Stefan Felsner (ed.), Discrete Mathematics and Theoretical Computer Science Proceedings AE, pp. 229-230 |
| bibtex: | For a corresponding BibTeX entry, please consider our BibTeX-file. |
| ps.gz-source: | dmAE0145.ps.gz (44 K) |
| ps-source: | dmAE0145.ps (110 K) |
| pdf-source: | dmAE0145.pdf (125 K) |
The first source gives you the `gzipped' PostScript, the second the plain PostScript and the third the format for the Adobe accrobat reader. Depending on the installation of your web browser, at least one of these should (after some amount of time) pop up a window for you that shows the full article. If this is not the case, you should contact your system administrator to install your browser correctly.
Due to limitations of your local software, the two formats may show up differently on your screen. If eg you use xpdf to visualize pdf, some of the graphics in the file may not come across. On the other hand, pdf has a capacity of giving links to sections, bibliography and external references that will not appear with PostScript.
Automatically produced on Di Sep 27 10:09:54 CEST 2005 by gustedt
