# Tree , Metric Labeling , Buyat-Bulk Network Design , and

@inproceedings{Rcke2008TreeM, title={Tree , Metric Labeling , Buyat-Bulk Network Design , and}, author={Harald R{\"a}cke}, year={2008} }

Hierarchical graph decompositions play an important role in the design of approximation and online algorithms for graph problems. This is mainly due to the fact that the results concerning the approximation of metric spaces by tree metrics (e.g. [10, 11, 14, 16]) depend on hierarchical graph decompositions. In this line of work a probability distribution over tree graphs is constructed from a given input graph, in such a way that the tree distances closely resemble the distances in the original… Expand

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SHOWING 1-10 OF 30 REFERENCES

Approximation Algorithms for Requirement Cut on Graphs

- Mathematics, Computer Science
- APPROX-RANDOM
- 2005

9

A polynomial-time tree decomposition to minimize congestion

- Computer Science
- SPAA '03
- 2003

126 Highly Influential

A general approach to online network optimization problems

- Mathematics, Computer Science
- SODA '04
- 2004

119 Highly Influential- PDF

A tight bound on approximating arbitrary metrics by tree metrics

- Mathematics, Computer Science
- STOC '03
- 2003

849- PDF

Expander flows, geometric embeddings and graph partitioning

- Mathematics, Computer Science
- JACM
- 2009

309- PDF

A practical algorithm for constructing oblivious routing schemes

- Mathematics, Computer Science
- SPAA '03
- 2003

100- PDF

Approximating a finite metric by a small number of tree metrics

- Mathematics, Computer Science
- Proceedings 39th Annual Symposium on Foundations of Computer Science (Cat. No.98CB36280)
- 1998

208 Highly Influential- PDF

An approximate max-flow min-cut theorem for uniform multicommodity flow problems with applications to approximation algorithms

- Mathematics, Computer Science
- [Proceedings 1988] 29th Annual Symposium on Foundations of Computer Science
- 1988

529- PDF

A Polylogarithmic Approximation of the Minimum Bisection

- Computer Science, Mathematics
- SIAM Rev.
- 2006

75 Highly Influential