19971201
Approximate maxima finding of continuous functions under restricted budget
Publication
Publication
A function is distributed among nodes of a graph in a " continuous" way, i.e., such that the difference between values stored at adjacent nodes is small. The goal is to find a node of maximum value by probing some nodes under a restricted budget. Every node has an associated cost which has to be paid for probing it and a probe reveals the value of the node. If the total budget is too small to allow probing every node, it is impossible to find the maximum value in the worst case. Hence we seek an Approximate Maxima Finding (AMF) algorithm that offers the best worstcase guarantee g, i.e., for any continuous distribution of values it finds a node whose value differs from the maximum value by at most g. Approximate Maxima Finding in graphs is related to a generalization of the multicenter problem and we get new results for this problem as well. For example, we give a polynomial algorithm to find a minimum cost solution for the multicenter problem on a tree, with arbitrary node costs.
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Persistent URL  dx.doi.org/10.1007/3540625593_22 
Citation 
Kranakis, E, Krizanc, D. (Danny), Pelc, A. (Andrzej), & Peleg, D. (David). (1997). Approximate maxima finding of continuous functions under restricted budget. doi:10.1007/3540625593_22
