Title
Distributed approximation algorithms for finding 2-edge-connected subgraphs
Abstract
We consider the distributed construction of a minimum weight 2- edge-connected spanning subgraph (2-ECSS) of a given weighted or unweighted graph. A 2-ECSS of a graph is a subgraph that, for each pair of vertices, contains at least two edge-disjoint paths connecting these vertices. The problem of finding a minimum weight 2-ECSS is NP-hard and a natural extension of the distributed MST construction problem, one of the most fundamental problems in the area of distributed computation. We present a distributed 3/2-approximation algorithm for the unweighted 2-ECSS construction problem that requires O(n) communication rounds and O(m) messages. Moreover, we present a distributed 3-approximation algorithm for the weighted 2-ECSS construction problem that requires O(nlogn) communication rounds and O(nlog2 n+m) messages.
Year
DOI
Venue
2007
10.1007/978-3-540-77096-1_12
OPODIS
Keywords
Field
DocType
2-edge-connected subgraphs,minimum weight 2-ecss,mst construction problem,3-approximation algorithm,communication round,minimum weight,2-approximation algorithm,unweighted graph,fundamental problem,2-ecss construction problem,edge-disjoint path,distributed computing
Discrete mathematics,Graph,Approximation algorithm,Spanning subgraph,Distributed minimum spanning tree,Vertex (geometry),Computer science,Theoretical computer science,Minimum weight,Computation,Distributed computing
Conference
Volume
ISSN
ISBN
4878
0302-9743
3-540-77095-X
Citations 
PageRank 
References 
2
0.38
14
Authors
4
Name
Order
Citations
PageRank
Sven O. Krumke130836.62
Peter Merz232920.71
Tim Nonner3616.11
Katharina Rupp420.38