2005 European Conference on Combinatorics, Graph Theory and Applications (EuroComb '05)
Stefan Felsner (ed.)
DMTCS Conference Volume AE (2005), pp. 273-278
| author: | Daniela Kühn and Deryk Osthus |
|---|---|
| title: | Matchings and Hamilton cycles in hypergraphs |
| keywords: | matchings, Hamilton cycles, packings, uniform hypergraphs |
| abstract: |
It is well known that every bipartite graph with vertex
classes of size
n
whose minimum degree is at least
n/2
contains a perfect matching. We prove an analogue of
this result for uniform hypergraphs. We also provide an
analogue of Dirac's theorem on Hamilton cycles for
3
-uniform hypergraphs: We say that a
3
-uniform hypergraph has a Hamilton cycle if there is
a cyclic ordering of its vertices such that every pair of
consecutive vertices lies in a hyperedge which consists of
three consecutive vertices. We prove that for every
ε> 0
there is an
n
such that every
0
3
-uniform hypergraph of order
n ≥n
whose minimum degree is at least
0
n/4+εn
contains a Hamilton cycle. Our bounds on the minimum
degree are essentially best possible.
|
| 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: | Daniela Kühn and Deryk Osthus (2005), Matchings and Hamilton cycles in hypergraphs, in 2005 European Conference on Combinatorics, Graph Theory and Applications (EuroComb '05), Stefan Felsner (ed.), Discrete Mathematics and Theoretical Computer Science Proceedings AE, pp. 273-278 |
| bibtex: | For a corresponding BibTeX entry, please consider our BibTeX-file. |
| ps.gz-source: | dmAE0154.ps.gz (49 K) |
| ps-source: | dmAE0154.ps (167 K) |
| pdf-source: | dmAE0154.pdf (158 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 10:09:57 CEST 2005 by gustedt
