Mikhail J. Atallah, Marina Blanton's Algorithms and Theory of Computation Handbook, Second PDF

By Mikhail J. Atallah, Marina Blanton

ISBN-10: 1584888229

ISBN-13: 9781584888222

Algorithms and idea of Computation instruction manual, moment variation: basic options and strategies offers an updated compendium of primary laptop technology themes and methods. It additionally illustrates how the subjects and methods come jointly to bring effective ideas to big useful difficulties. besides updating and revising the various current chapters, this moment variation includes 4 new chapters that hide exterior reminiscence and parameterized algorithms in addition to computational quantity concept and algorithmic coding conception.

This best-selling guide keeps to assist laptop pros and engineers locate major info on a number of algorithmic subject matters. The professional members essentially outline the terminology, current uncomplicated effects and methods, and provide a few present references to the in-depth literature. additionally they supply a glimpse of the key study concerns in regards to the proper topics.

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Read or Download Algorithms and Theory of Computation Handbook, Second Edition, Volume 1: General Concepts and Techniques (Chapman & Hall/CRC Applied Algorithms and Data Structures series) PDF

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Extra info for Algorithms and Theory of Computation Handbook, Second Edition, Volume 1: General Concepts and Techniques (Chapman & Hall/CRC Applied Algorithms and Data Structures series)

Example text

We use the dictionary problem as a generic example of searching for a key in a set of keys. Formally, we are given a set S of n distinct keys∗ x1 , . . , xn , and we have to implement the following operations, for a given key x: SEARCH: INSERT: DELETE: x ∈ S? S ← S ∪ {x} S ← S − {x} Although, for simplicity, we treat the set S as just a set of keys, in practice it would consist of a set of records, one of whose fields would be designated as the key. Extending the algorithms to cover this case is straightforward.

MIT Press/ McGraw-Hill, New York, 2001. 2. L. , Fibonacci heaps and their use in improved network optimization problems, J. ACM, 34, 596–615, 1987. 3. H. , Birkhäuser, Boston, MA, 1990. 4. , Addison-Wesley, Reading, MA, 1997. Algorithm Design and Analysis Techniques 1-27 5. , Addison-Wesley, Reading, MA, 1997. 6. , AddisonWesley, Reading, MA, 1997. 7. , Some techniques for solving recurrences, Comput. , 12, 419–436, 1980. 8. , Data Structures and Algorithms 1: Sorting and Searching, Springer-Verlag, Berlin, 1984.

In a CREW PRAM, we can use the following simple parallel binary search. We divide the sorted set into p + 1 segments (then, there are p internal segment boundaries). Processor i compares the key to the element stored in the ith boundary and writes in a variable ci a 0, if it is greater or a 1 if it is smaller (in case of equality, the search ends). All the processors do this in parallel. After this step, there is an index j such that cj = 0 and cj+1 = 1 (we assume that c0 = 0 and cp+1 = 1), which indicates in which segment the key should be.

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Algorithms and Theory of Computation Handbook, Second Edition, Volume 1: General Concepts and Techniques (Chapman & Hall/CRC Applied Algorithms and Data Structures series) by Mikhail J. Atallah, Marina Blanton


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