By Bednorz W.
Bednorz W. Advances in grasping algorithms (In-Teh, 2008)(ISBN 9537619273)(596s)_CsAl_
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2. The Multilevel Generic Algorithm. The key success behind the efficiency of the multilevel techniques is the use of the multilevel paradigm, which offers two main advantages enabling local search techniques to become much more powerful in the multilevel context. First, by allowing local search schemes to view a cluster of vertices as a single entity, the search becomes restricted to only those configurations in the solution space in which the vertices grouped within a cluster are assigned the same label.
Of Operation Research, Vol. 4, No. 3, pp 233-235, 1979.  K. Moore, “SONAR - A Network Proximity Service, Version 1”. org/utk/projects/sonar/ August 1998.  P. Francis, S. Jamin, V. Paxson, L. Zhang, D. F. Gryniewicz, and Y. Jin, “An Architecture for a Global Internet Host Distance Estimation Service”, In Proceedings of IEEE INFOCOM'99, New York City, New York, March 1999.  S. Jamin, C. Jin, Y. Jin, Y. Raz, Y. Shavitt, and L. Zhang, “On the Placement of Internet Instrumentation”, In Proceedings of IEEE INFOCOM’2000, Tel Aviv, Israel, March 2000.
A common feature that characterizes multilevel algorithms is that any solution in any of the coarsened problems is a legitimate solution to the original problem. This is always true as long as the coarsening is achieved in a way that each of the coarsened problems retains the original problem’s global structure. Fig. 2. The Multilevel Generic Algorithm. The key success behind the efficiency of the multilevel techniques is the use of the multilevel paradigm, which offers two main advantages enabling local search techniques to become much more powerful in the multilevel context.