Problem solving is an essential part of every scientific discipline. It has two components: (1) problem identification and formulation, and (2) the solution to the formulated problem. One can solve a problem on its own using ad hoc techniques or by following techniques that have produced efficient solutions to similar problems. This requires the understanding of various algorithm design techniques, how and when to use them to formulate solutions, and the context appropriate for each of them. Algorithms: Design Techniques and Analysis advocates the study of algorithm design by presenting the most useful techniques and illustrating them with numerous examples — emphasizing on design techniques in problem solving rather than algorithms topics like searching and sorting. Algorithmic analysis in connection with example algorithms are explored in detail. Each technique or strategy is covered in its own chapter through numerous examples of problems and their algorithms. Readers will be equipped with problem solving tools needed in advanced courses or research in science and engineering. Contents:Basic Concepts and Introduction to Algorithms:Basic Concepts in Algorithmic AnalysisData StructuresHeaps and the Disjoint Sets Data StructuresTechniques Based on Recursion:InductionDivide and ConquerDynamic ProgrammingFirst-Cut Techniques:The Greedy ApproachGraph TraversalComplexity of Problems:NP-Complete ProblemsIntroduction to Computational ComplexityLower BoundsCoping with Hardness:BacktrackingRandomized AlgorithmsApproximation AlgorithmsIteractive Improvement for Domain-Specific Problems:Network FlowMatchingTechniques in Computational Geometry:Geometric SweepingVoronoi DiagramsAppendices:Mathematical PreliminariesIntroduction to Discrete Probability Readership: Senior undergraduates, graduate students and professionals in software development. Readers in advanced courses or research in science and engineering. Key Features:It covers many topics that are not in any other book on algorithmsIt covers a wide range of design techniques each in its own chapterKeywords:Algorithms;Algorithm Design;Algorithm Analysis
In Section 2 we will deal with the “discrete” case. Let S be a locally finite tree T endowed with the natural integer-valued distance function: the ...
... for in this case [yp](s)=s[yp](s), [yp](s)=s2[yp](s). As we will see in the examples, this assumption also makes it possible to deal with the initial ...
x,y∈S δ(x,y) is maximum. u(x) + ADDITIVE SUBSET CHOICE Input: A set X = {x1 ,x2 ... F Tractability cycle Test 8.2 How (Not) to Deal with Intractability 173.
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... partial differential equations have received a great deal of attention. For excellent bibliographical coverage, see Todd (1956), Richtmyer (1957), ...
Todd, P. A., McKeen, .l. ... ANALYTICAL SUPPORT PROBLEM SOLVING Cognitive Perspectives on Modelling HOW DO STUDENTS AND TEACHERS DEAL Sodhi and Son 219 NOTE ...