Title
Optimal reduction of two-terminal directed acyclic graphs
Abstract
. Algorithms for series-parallel graphs can be extended to arbitrary two-terminal dagsif node reductions are used along with series and parallel reductions. A node reduction contractsa vertex with unit in-degree (out-degree) into its sole incoming (outgoing) neighbor. We give anO(n2:5) algorithm for minimizing node reductions, based on vertex cover in a transitive auxiliarygraph. Applications include the analysis of PERT networks, dynamic programming approaches tonetwork problems, and...
Year
DOI
Venue
1992
10.1137/0221065
SIAM J. Comput.
Keywords
Field
DocType
acyclic graph,optimal reduction,directed acyclic graph,vertex cover,dynamic programming,triconnected components,reliability,complexity,algorithms,np completeness,network dynamics
Discrete mathematics,Dynamic programming,Combinatorics,Vertex (geometry),Vertex (graph theory),Series-parallel graph,Directed graph,Directed acyclic graph,SPQR tree,Vertex cover,Mathematics
Journal
Volume
Issue
ISSN
21
6
0097-5397
Citations 
PageRank 
References 
36
5.00
13
Authors
3
Name
Order
Citations
PageRank
Wolfgang W. Bein119429.68
J Kamburowski218920.86
Matthias F. M. Stallmann316619.38