Communication Complexity and Linearly Ordered Sets

• Autorzy: Mieczysław Kula , Małgorzata Serwecinska
• Języki publikacji: EN

Abstrakty

EN

The paper is devoted to the communication complexity of lattice operations in linearly ordered finite sets. All well known techniques ([4, Chapter 1]) to determine the communication complexity of the infimum function in linear lattices disappoint, because a gap between the lower and upper bound is equal to O(log2 n), where n is the cardinality of the lattice. Therefore our aim will be to investigate the communication complexity of the function more carefully. We consider a family of so called interval protocols and we construct the interval protocols for the infimum. We prove that the constructed protocols are optimal in the family of interval protocols. It is still open problem to compute the communication complexity of constructed protocols but the numerical experiments show that their complexity is less than the complexity of known protocols for the infimum function.(original abstract)

Słowa kluczowe

EN

Mathematics; Differential equations

PL

Matematyka; Równania różniczkowe

• Czasopismo: Annales Mathematicae Silesianae
• Rocznik: 2015
• Tom: 29
• Strony: 93--117

Twórcy

autor

Mieczysław Kula

• Institute of Mathematics University of Silesia

autor

Małgorzata Serwecinska

• Institute of Mathematics University of Silesia

Bibliografia

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Identyfikatory

DOI

10.1515/amsil-2015-0008