| Issue |
RAIRO-Oper. Res.
Volume 43, Number 2, April-June 2009
|
|
|---|---|---|
| Page(s) | 145 - 156 | |
| DOI | https://doi.org/10.1051/ro/2009009 | |
| Published online | 28 April 2009 | |
A polynomial algorithm for minDSC on a subclass of series Parallel graphs
LIP6 - Université Pierre et Marie Curie, 4 place Jussieu, 75252 Paris Cedex 05, France; Alix.Munier@lip6.fr
Received:
30
June
2007
Accepted:
3
July
2008
The aim of this paper is to show a polynomial algorithm for the problem minimum directed sumcut for a class of series parallel digraphs. The method uses the recursive structure of parallel compositions in order to define a dominating set of orders. Then, the optimal order is easily reached by minimizing the directed sumcut. It is also shown that this approach cannot be applied in two more general classes of series parallel digraphs.
Mathematics Subject Classification: 05C78 / 05C85 / 90B35
Key words: Minimum directed sumcut / series parallel graph / polynomial algorithm.
© EDP Sciences, ROADEF, SMAI, 2009
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