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Consecutive-2 systems on trees

Published online by Cambridge University Press:  27 July 2009

Miklos Santha  and
Yanjun Znang
Miklos Santha
Affiliation:
Laboratoire de Recherche InformatiqueUniversité Paris-Sud, 1405 Orsay. France
Yanjun Znang
Affiliation:
Computer Science DivisionUniversity of California Berkeley, California 94720
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Abstract

This paper studies consecutive-2 systems on trees. We show that given a set of probability values, the optimal assignment for binary trees depends on the particular values, whereas for k−regular trees, which are closely related to binary trees, it depends only on their relative ordering. In our proof, we introduce the notion of first-term-invariance, which might have further applications. We also show that the problem of computing the failure probability of consecutive-2 system is #P-complete in general, though the problem on trees is shown to be strongly polynomial.

Type
Articles
Information
Probability in the Engineering and Informational Sciences , Volume 1 , Issue 4 , October 1987 , pp. 441 - 456
Copyright
Copyright © Cambridge University Press 1987

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