Algorithms And Data Structures

A 1-(S,T)-edge-connectivity augmentation algorithm - download pdf or read online

By Enni S.

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Thus, the total time of the algorithm is (n/p)log2 (n /p ) + n . Note that the first term (local sorting) will be dominant if p < log 2 n, while the second term (array merging) is dominant for p > log2 n . For p ≥ log 2 n, the time complexity of the algorithm is linear in n; hence, the algorithm is more efficient than the one-key-per-processor version. One final observation about sorting: Sorting is important in its own right, but occasionally it also helps us in data routing. Suppose data values being held by the p processors of a linear array are to be routed to other processors, such that the destination of each value is different from all others.

However, data access patterns in real applications are far from INTRODUCTION TO PARALLELISM 3. 4. 5. 6. 17 random. Most applications have a pleasant amount of data access regularity and locality that help improve the performance. One might say that the log p speed-up rule is one side of the coin that has the perfect speed-up p on the flip side. Depending on the application, real speed-up can range from log p to p (p /log p being a reasonable middle ground). The tyranny of IC technology (because hardware becomes about 10 times faster every 5 years, by the time a parallel machine with 10-fold performance is designed and implemented, uniprocessors will be just as fast).

There are many other such abbreviations and acronyms in parallel processing, examples being CISC, NUMA, PRAM, RISC, and VLIW. Even our journals (JPDC, TPDS) and conferences (ICPP, IPPS, SPDP, SPAA) have not escaped this fascination with four-letter abbreviations. The author has a theory that an individual cannot be considered a successful computer architect until she or he has coined at least one, and preferably a group of two or four, such abbreviations! Toward this end, the author coined the acronyms SINC and FINC (Scant/Full Interaction Network Cell) as the communication network counterparts to the popular RISC/CISC dichotomy [Parh95].

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A 1-(S,T)-edge-connectivity augmentation algorithm by Enni S.

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