2005 European Conference on Combinatorics, Graph Theory and Applications (EuroComb '05)
Stefan Felsner (ed.)
DMTCS Conference Volume AE (2005), pp. 4144
author:  Peter Bella, Daniel Král', Bojan Mohar and Katarína Quittnerová 

title:  Labeling planar graphs with a condition at distance two 
keywords: 
L(2,1)
labeling, channel assignment problem, graph
coloring, planar graphs

abstract: 
An
L(2,1)
labeling of a graph is a mapping
c:V(G)→{0,…,K}
such that the labels assigned to neighboring vertices
differ by at least
2
and the labels of vertices at distance two are
different. Griggs and Yeh [SIAM J. Discrete Math. 5 (1992),
586595] conjectured that every graph
G
with maximum degree
Δ
has an
L(2,1)
labeling with
K≤Δ
. We verify the conjecture for planar graphs with
maximum degree
2
Δ≠3
.

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:  Peter Bella and Daniel Král' and Bojan Mohar and Katarína Quittnerová (2005), Labeling planar graphs with a condition at distance two , in 2005 European Conference on Combinatorics, Graph Theory and Applications (EuroComb '05), Stefan Felsner (ed.), Discrete Mathematics and Theoretical Computer Science Proceedings AE, pp. 4144 
bibtex:  For a corresponding BibTeX entry, please consider our BibTeXfile. 
ps.gzsource:  dmAE0109.ps.gz (56 K) 
pssource:  dmAE0109.ps (136 K) 
pdfsource:  dmAE0109.pdf (149 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 10:09:41 CEST 2005 by gustedt