| 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 multi-graph
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
, edge-disjoint 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.
181-186
|
| bibtex: | For a corresponding BibTeX entry, please consider our BibTeX-file. |
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| ps-source: | dmAE0136.ps (993 K) |
| pdf-source: | dmAE0136.pdf (185 K) |
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