DMTCS Proceedings, 2005 European Conference on Combinatorics, Graph Theory and Applications (EuroComb '05)

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DMTCS Conference vol AE (2005), pp. 181-186


2005 European Conference on Combinatorics, Graph Theory and Applications (EuroComb '05)

Stefan Felsner (ed.)

DMTCS Conference Volume AE (2005), pp. 181-186

author: Audrey Lee and Ileana Streinu
title: Pebble Game Algorithms and
-Sparse Graphs
keywords: sparse graph, pebble game, rigidity, arboricity, graph orientation with bounded degree
abstract: A multi-graph
vertices is
-sparse if every subset of
vertices spans at most
0 ≤l < 2k
is tight if, in addition, it has exactly
kn - l
edges. We characterize
-sparse graphs via a family of simple, elegant and efficient algorithms called the
-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
, edge-disjoint tree decompositions.
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reference: Audrey Lee and Ileana Streinu (2005), Pebble Game Algorithms and
-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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