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Lower Bounds for the Relative Greedy Algorithm for Approximating
Lower Bounds for the Relative Greedy Algorithm for Approximating

... The second lower bound is obtained by constructing an instance G k,l which places the instance Gk into a grid. The instance Gk,l consists of an 4k × l grid of terminals where the last terminals of each column have been identified as one terminal. For each column of terminals the graph Gk − Tb − Tc i ...
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... where p(X, Y) is a shorthand for {(X, Y)Ip(X, Y) is proved}, and, for any predicate s( X, Y), sj( X, Y) is defined as the set of s tuples which have been proved at the completion of the jth iteration; w is the usual join operator, and + is the set union. Asj is then the set of (possibly) new 8 tuple ...
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... proof of the Theorem . 4 . Further questions . One can ask the question how large has n to be in order that Sk(n!) >0 . Our proof gives that n has to be greater than c3k log k . By a more complicated argument we can show that for a suitable constant c4, we have Oki [c4 k ] ! I >0 . It is probable th ...
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Algorithm characterizations

Algorithm characterizations are attempts to formalize the word algorithm. Algorithm does not have a generally accepted formal definition. Researchers are actively working on this problem. This article will present some of the ""characterizations"" of the notion of ""algorithm"" in more detail.This article is a supplement to the article Algorithm.
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