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Advances in Greedy Algorithms by Witold Bednorz

By Witold Bednorz

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Moore. ”. In Proceedings of IEEE INFOCOM’2001, Anchorage, Alaska, April 2001. A Greedy Scheme for Designing Delay Monitoring Systems of IP Networks 37 [10] Y. Bejerano abd R. Rastogi, “Robust monitoring of link delays and faults in IP networks”. In Proceedings of the IEEE INFOCOM’2003, San Francisco, CA, USA, April 2003. [11] V. Chavatel, “A Greedy Heuristic for the Set-Covering Problem”, Math. of Operation Research, Vol. 4, No. 3, pp 233-235, 1979. [12] K. Moore, “SONAR - A Network Proximity Service, Version 1”.

In practice, the topology of RTs can be calculated by querying the routing tables of nodes. In our solution, the routing tree of node s may be its SPT but this is not an essential requirement. We associate a positive cost cu,v with sending a message between any pair of nodes u, v ∈ V . For every intermediate node w ∈ Pu,v both cu,w and cv,w are at most cu,v and cu,w + cv,w ≥ cu,v. Typical examples of this cost model are the fixed cost, where all messages have the same cost, and hop count, where the message cost is the number of hops in its route.

Jacobsen. “Pathchar - A Tool to Infer Characteristics of Internet Paths”, April 1997. gov/pathchar. [6] P. html. [7] R. L. Carter and M. E. Crovella. “Server Selection Using Dynamic Path Characterization in Wide-Area Networks”, In Proceedings of IEEE INFOCOM'99, Kobe, Japan, April 1997. [8] K. Lai and M. Baker. “Measuring Bandwidth”. In Proceedings of IEEE INFOCOM’99, New York City, New York, March 1999. [9] C. Dovrolis, P. Ramanathan and D. Moore. ”. In Proceedings of IEEE INFOCOM’2001, Anchorage, Alaska, April 2001.

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