Download e-book for iPad: Communication Complexity and Parallel Computing: The by Juraj Hromkovič

By Juraj Hromkovič

The verbal exchange complexity of two-party protocols is an basically 15 years outdated complexity degree, however it is already thought of to be one of many fundamen­ tal complexity measures of contemporary complexity conception. equally to Kolmogorov complexity within the thought of sequential computations, communique advanced­ ity is used as a style for the research of the complexity of concrete computing difficulties in parallel info processing. particularly, it truly is utilized to turn out reduce bounds that say what machine assets (time, undefined, reminiscence dimension) are essential to compute the given job. along with the estimation of the compu­ tational trouble of computing difficulties the proved reduce bounds are valuable for proving the optimality of algorithms which are already designed. often times the data concerning the communique complexity of a given challenge should be even valuable in trying to find effective algorithms to this challenge. The research of communique complexity turns into a well-defined indepen­ dent region of complexity conception. as well as a robust relation to numerous funda­ psychological complexity measures (and with the intention to a number of basic difficulties of com­ plexity conception) communique complexity has contributed to the examine and to the certainty of the character of determinism, nondeterminism, and random­ ness in algorithmics. There already exists a non-trivial mathematical equipment to deal with the communique complexity of concrete computing difficulties, which provides a desire that the process in response to conversation complexity could be in­ strumental within the examine of numerous relevant open difficulties of contemporary complexity theory.

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Communication Complexity and Parallel Computing: The Application of Communication Complexity in Parallel Computing (Texts in Theoretical Computer Science. An EATCS Series) by Juraj Hromkovič


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