Free access
Proceedings
2018 Proceedings of the Seventh SIAM Workshop on Combinatorial Scientific Computing

New Approximation Algorithms for Minimum Weighted Edge Cover

Abstract

We describe two new 3/2-approximation algorithms and a new 2-approximation algorithm for the minimum weight edge cover problem in graphs. We show that one of the 3/2-approximation algorithms, the Dual cover algorithm, computes the lowest weight edge cover relative to previously known algorithms as well as the new algorithms reported here. The Dual cover algorithm can also be implemented to be faster than the other 3/2-approximation algorithms on serial computers. Many of these algorithms can be extended to solve the 6-Edge cover problem as well. We show the relation of these algorithms to the K-Nearest Neighbor graph construction in semi-supervised learning and other applications.

Formats available

You can view the full content in the following formats:

Information & Authors

Information

Published In

cover image Proceedings
2018 Proceedings of the Seventh SIAM Workshop on Combinatorial Scientific Computing
Pages: 97 - 108
Editors: Fredrik Manne, University of Bergen, Norway, Peter Sanders, Karlsruhe Institute of Technology, Germany, and Sivan Toledo, Tel-Aviv University, Israel
ISBN (Online): 978-1-61197-521-5

History

Published online: 7 August 2018

Authors

Affiliations

Metrics & Citations

Metrics

Citations

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited By

View Options

View options

PDF

View PDF

Figures

Tables

Media

Share

Share

Copy the content Link

Share with email

Email a colleague

Share on social media