2005 European Conference on Combinatorics, Graph Theory and Applications (EuroComb '05)
Stefan Felsner (ed.)
DMTCS Conference Volume AE (2005), pp. 199-202
| author: | Daniela Kühn and Deryk Osthus |
|---|---|
| title: |
K
-factors in graphs
ℓ
-
|
| keywords: | graph packing, factor, critical chromatic number |
| abstract: |
Let
K
denote the graph obtained from
ℓ
-
K
by deleting one edge. We show that for every
ℓ
γ>0
and every integer
ℓ≥4
there exists an integer
n
such that every graph
0
=n
0
(γ,ℓ)
G
whose order
n≥n
is divisible by
0
ℓ
and whose minimum degree is at least
(ℓ
contains a
2
-3ℓ+1 / ℓ(ℓ-2)+γ)n
K
-factor, i.e. a collection of disjoint copies of
ℓ
-
K
which covers all vertices of
ℓ
-
G
. This is best possible up to the error term
γn
and yields an approximate solution to a conjecture of
Kawarabayashi.
|
| 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),
K
-factors in graphs, in 2005 European Conference
on Combinatorics, Graph Theory and Applications (EuroComb
'05), Stefan Felsner (ed.), Discrete Mathematics
and Theoretical Computer Science Proceedings AE, pp.
199-202
ℓ
-
|
| bibtex: | For a corresponding BibTeX entry, please consider our BibTeX-file. |
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Automatically produced on Di Sep 27 10:09:52 CEST 2005 by gustedt
