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Greedy algorithm - Wikipedia, the free encyclopedia
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Greedy coloring - Wikipedia, the free encyclopedia
In the study of graph coloring problems in mathematics and computer science, a greedy coloring is a coloring of the vertices of a graph formed by a greedy algorithm that considers the vertices of th...
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Definition of greedy algorithm, possibly with links to more information and implementations. ... If there is no greedy algorithm that always finds the optimal solution for a problem, one may have to search (exponentially) many possible solutions to find the optimum. Greedy algorithms are usually quicker, since they don...
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Even for problems which can be solved exactly by a greedy algorithm, establishing the correctness of the method may be a non-trivial process. ... The General Form of a Greedy Algorithm is ... These yield the following greedy algorithm which approximately solves the integer knapsack problem.
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Basic Algorithm Analysis ... Even for problems which can be solved exactly by a greedy algorithm, establishing the correctness of the method may be a non-trivial process. ... The General Form of a Greedy Algorithm is...
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A greedy algorithm repeatedly executes a procedure which tries to maximize the return based on examining local conditions, with the hope that the outcome will lead to a desired outcome for the global problem.
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If we apply the "greedy algorithm", which consists of taking the largest qualifying unit fraction at each stage, we would begin with the term 1/3, leaving a remainder of 1/3. Since we require distinct denominators we can't use 1/3 for our second term, so we go on to the next largest odd unit fraction, which is 1/5.
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