Linear time 1/2 -approximation algorithm for maximum weighted matching in general graphs

  • Authors:
  • Robert Preis

  • Affiliations:
  • Universität Paderborn, Paderborn, Germany

  • Venue:
  • STACS'99 Proceedings of the 16th annual conference on Theoretical aspects of computer science
  • Year:
  • 1999

Quantified Score

Hi-index 0.00

Visualization

Abstract

A new approximation algorithm for maximum weighted matching in general edge-weighted graphs is presented. It calculates a matching with an edge weight of at least 1/2 of the edge weight of a maximum weighted matching. Its time complexity is O(|E|), with |E| being the number of edges in the graph. This improves over the previously known 1/2 -approximation algorithms for maximum weighted matching which require O(|E| ċ log(|V|)) steps, where |V| is the number of vertices.