Abstract
We present a unified semidefinite programming hierarchies rounding approximation algorithm for a class of maximum graph bisection problems with improved approximation ratios.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Austrin, P., Benabbas, S., Georgiou, K.: Better balance by being biased: a 0.8776-approximation for max bisection. In: Proceedings of SODA, pp. 277–294 (2013), Full version available as arXiv eprint 1205.0458v2
Feige, U., Langberg, M.: The RPR2 rounding technique for semidefinite programs. Journal of Algorithms 60, 1–23 (2006)
Frieze, A.M., Jerrum, M.: Improved approximation algorithms for MAX k-CUT and MAX BISECTION. Algorithmica 18, 67–81 (1997)
Goemans, M.X., Williamson, D.P.: Improved approximation algorithms for maximum cut and satisfiability problems using semidefinite programming. Journal of the ACM 42, 1115–1145 (1995)
Halperin, E., Zwick, U.: A unified framework for obtaining improved approximation algorithms for maximum graph bisection problems. Random Structures & Algorithms 20, 382–402 (2002)
Han, Q., Ye, Y., Zhang, J.: An improved rounding method and semidefinite programming relaxation for graph partition. Mathematical Programming, Series B 92, 509–535 (2002)
Lasserre, J.B.: An explicit equivalent positive semidefinite program for nonlinear 0-1 programs. SIAM Journal on Optimization 12, 756–769 (2002)
Raghavendra, P., Tan, N.: Approximating CSPs with global cardinality constraints using SDP hierarchies. In: Proceedings of SODA, pp. 373–387 (2012), Full version available as arXiv eprint 1110.1064v1
Xu, D., Han, J., Huang, Z., Zhang, L.: Improved approximation algorithms for MAX n/2-DIRECTED-BISECTION and MAX n/2-DENSE-SUBGRAPH. Journal of Global Optimization 27, 399–410 (2003)
Ye, Y.: A .699-approximation algorithm for Max-Bisection. Mathematical Programming 90, 101–111 (2001)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2013 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Wu, C., Du, D., Xu, D. (2013). An Improved Semidefinite Programming Hierarchies Rounding Approximation Algorithm for Maximum Graph Bisection Problems. In: Du, DZ., Zhang, G. (eds) Computing and Combinatorics. COCOON 2013. Lecture Notes in Computer Science, vol 7936. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-38768-5_28
Download citation
DOI: https://doi.org/10.1007/978-3-642-38768-5_28
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-38767-8
Online ISBN: 978-3-642-38768-5
eBook Packages: Computer ScienceComputer Science (R0)