Read e-book online Communication Complexity and Parallel Computing: The PDF

By Juraj Hromkovič

The communique complexity of two-party protocols is an merely 15 years previous complexity degree, however it is already thought of to be one of many fundamen­ tal complexity measures of contemporary complexity concept. equally to Kolmogorov complexity within the thought of sequential computations, conversation complicated­ ity is used as a mode for the research of the complexity of concrete computing difficulties in parallel info processing. in particular, it truly is utilized to end up reduce bounds that say what desktop assets (time, undefined, reminiscence dimension) are essential to compute the given job. along with the estimation of the compu­ tational hassle of computing difficulties the proved reduce bounds are priceless for proving the optimality of algorithms which are already designed. in certain cases the data in regards to the communique complexity of a given challenge can be even necessary in looking for effective algorithms to this challenge. The learn of communique complexity turns into a well-defined indepen­ dent sector of complexity concept. as well as a powerful relation to a number of funda­ psychological complexity measures (and so that you can numerous primary difficulties of com­ plexity conception) verbal exchange complexity has contributed to the learn and to the knowledge of the character of determinism, nondeterminism, and random­ ness in algorithmics. There already exists a non-trivial mathematical equipment to address the conversation complexity of concrete computing difficulties, which supplies a desire that the technique in response to verbal exchange complexity should be in­ strumental within the learn of a number of critical 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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