Get Algebraic Combinatorics and Applications: Proceedings of the PDF

By Anton Betten, Axel Kohnert, Reinhard Laue, Alfred Wassermann

ISBN-10: 3540411100

ISBN-13: 9783540411109

This ebook arose from the Euroconference "Algebraic Combinatorics and functions" held in G?ssweinstein, Germany, in September 1999, the place either senior and younger researchers in natural arithmetic, utilized arithmetic, laptop technological know-how, physics, and chemistry from diversified eu international locations met. the most subject matter of the convention was once workforce activities in a variety of components, a large spectrum of that's provided in those complaints. This quantity should be a useful gizmo for researchers and graduate scholars in discrete arithmetic and theoretical machine technological know-how.

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Additional resources for Algebraic Combinatorics and Applications: Proceedings of the Euroconference, Algebraic Combinatorics and Applications (ALCOMA), held in Gößweinstein, ... 12-19, 1999 (English and German Edition)

Sample text

3 Randomized Protocols Randomized protocols are much like deterministic ones, except that Px and Py may use coin flips to detennine their transmissions. Whereas deterministic protocols require that Px base his transmissions and his computed value only on X and preceding transmissions (similarly for Py), randomized protocols require that P x base the bias of the coin flips (which detennine his transmissions and his computed value) only on X and preceding transmissions (similarly for Py). Still, the set of all messages that have positive probability at any time must be prefix free.

N-l} The average, deterministic communication complexity of f is defined as: CD(f, 0) ~ min{L",(x, y) :

The mapping b must satisfy several requirements. I. The length of b(R) is denoted by l(R). 3. , is the unique value that ¢> assigns to all the inputs (x,y) in R. That is, v(x,y) = v(R(x,y» for all (x,y) E {0, .. ,n-1}x{0, .. ,n-1}. In the rest of this chapter we apply these properties to prove lower bounds on the number of bits that must be transmitted in error-free computation of a function. 2 Worst-Case Complexity So far, we have not addressed the relation between the computed value of a protocol and the function it is supposed to compute.

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Algebraic Combinatorics and Applications: Proceedings of the Euroconference, Algebraic Combinatorics and Applications (ALCOMA), held in Gößweinstein, ... 12-19, 1999 (English and German Edition) by Anton Betten, Axel Kohnert, Reinhard Laue, Alfred Wassermann


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