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Bednorz W. Advances in grasping algorithms (In-Teh, 2008)(ISBN 9537619273)(596s)_CsAl_

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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”.

Sitaraman and D. Towsley, “Tree Layout for Internal Network Characterizations in Multicast Networks”, In Proceedings of NGC'01, London, UK, November 2001. [20] Y. Breitbar, F. Dragan and H. Gobjuka, “ Effective network monitoring”, In Proceedings of ICCCN’04, Rosemont, IL, USA, October 2004. [21] H. X. Nguyen and P. Thiran, “Active Measurement for Multiple Link Failures Diagnosis in IP Networks, In Proceedings of PAM’04, Antibes, France, 2004. [22] K. Suh, Y. Guo, J. F. Kurose, D. F. Towsley, Locating network monitors: Complexity, heuristics, and coverage, In Proceedings of Infocom’05, Miami, FL, USA, March, 2004.

V = V {r1, r2, r3, r4, r5} and the edges E = E {(v, r1)│v ∈ V} {(r1, r2), (r1, r3), (r1, r4), (r1, r5), (r2, r3), (r4, r5)}. The weight of every edge e ∈ E is 3 and the weight of any edge e ∉ E is 2. In the following R = {r1, r2, r3, r4, r5}. An example of such graph is given in Figure 8. Now we will show that the given VC instance, graph G(V,E), has a solution, S of size k if and only if the PM instance, graph G ( V , E ) has a solution, S of size k + 2. In this proof we assume without lose of generality that the routing tree (RT) of every node is its shortest path tree (SPT).

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