Distributed Approximation Algorithms for Finding 2-Edge-Connected Subgraphs

Abstract. We consider the distributed construction of a minimum weight 2edge-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.

• Type: Conference
• Year: 2007
• Where: OPODIS
• Authors: Sven Oliver Krumke, Peter Merz, Tim Nonner, Katharina Rupp
• Keywords: 2-ECSS Construction Problem, Construction Problem, Distributed And Parallel Computing, Minimum Weight, OPODIS 2007