# Igor Balla REU DIMACS 2010. Metric Spaces 1. 2. 3. 4.

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Igor Balla REU DIMACS 2010

Metric Spaces 1. 2. 3. 4.

Graph Metrics

Metric Embedding

Approximating Cycle Metrics

Probabilistic Approximations by Tree Metrics

Directions for Further Research 1. Bartal, Y. 1996. Probabilistic approximations of metric spaces and its algorithmic applications. In Proceedings of the 37 th Annual Symposium on Foundations of Computer Science (October 14-16, 1996). FOCS. IEEE Computer Society, Washington, DC, 184 2. Fakcharoenphol, J., Rao, S., Talwar, K. 2004. A tight bound on approximating arbitrary metrics by tree metrics. J. Comput. Syst. Sci. 69, 3 (Nov. 2004), 485-497. 3. Karp, R. 1989. A 2k-competitive algorithm for the circle. Manuscript (August 1989) References

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