2005 European Conference on Combinatorics, Graph Theory and Applications (EuroComb '05)
Stefan Felsner (ed.)
DMTCS Conference Volume AE (2005), pp. 181186
author:  Audrey Lee and Ileana Streinu 

title: 
Pebble Game Algorithms and
(k,l)
Sparse Graphs

keywords:  sparse graph, pebble game, rigidity, arboricity, graph orientation with bounded degree 
abstract: 
A multigraph
G
on
n
vertices is
(k,l)
sparse if every subset of
n'≤n
vertices spans at most
kn'l
edges,
0 ≤l < 2k
.
G
is tight if, in addition, it has exactly
kn  l
edges. We characterize
(k,l)
sparse graphs via a family of simple, elegant and
efficient algorithms called the
(k,l)
pebble games. As applications, we use the pebble
games for computing components (maximal tight
subgraphs) in sparse graphs, to obtain inductive
(Henneberg) constructions, and, when
l=k
, edgedisjoint tree decompositions.

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: 
Audrey Lee and Ileana Streinu (2005), Pebble Game
Algorithms and
(k,l)
Sparse 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.
181186

bibtex:  For a corresponding BibTeX entry, please consider our BibTeXfile. 
ps.gzsource:  dmAE0136.ps.gz (96 K) 
pssource:  dmAE0136.ps (993 K) 
pdfsource:  dmAE0136.pdf (185 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 10:09:51 CEST 2005 by gustedt