Titlebook: Algorithmics for Hard Problems; Introduction to Comb Juraj Hromkovi? Textbook 2004Latest edition Springer-Verlag Berlin Heidelberg 2004 Tex

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1862-4499 topic discovered several profound results, new concepts, and new methods. Some of the achieved contributions are so fundamental that one can speak about paradigms978-3-642-07909-2978-3-662-05269-3Series ISSN 1862-4499 Series E-ISSN 1862-4502

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Introduction, with respect to their simplicity and transparency rather than with respect to their quality (complexity and reliability). The methods for the design of algorithms are not only presented in a systematic way, they are also combined, compared, and parallelized in order to produce a practical algorithm

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Heuristics,idea of the heuristic seems to promise good behavior for typical instances of the optimization problem considered. Thus, a polynomial-time approximation algorithm cannot be considered as a heuristic in this sense, independently of the simplicity of its design idea. Observe that the description of a

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Deterministic Approaches,on of many, for instance 2. elementary operations lies beyond the physical reality. Assuming P ≠ NP, there is no possibility to design polynomial-time (deterministic) algorithms for solving NP-hard problems. The question is what can be done if one wants to attack NP-hard problems with deterministic

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A Guide to Solving Hard Problems,of specific algorithms were presented in order to illustrate the power and possible success of their applications. Nevertheless, we did not consider the question.up till now. We only listed a number of possible approaches and discussed what they can do and what they probably cannot do. The aim of th

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