Abstract
We consider the following problem: Each processor of the network has assigned a (not necessarily unique) input value. Determine multiplicity of each input value. Solving this problem means any input-symmetric function (i.e. function not sensitive to permutations of its input values) can be computed. We consider anonymous synchronous networks of arbitrary topology, in which dynamic link faults [3,6] may occur.
An instance of this problem has been stated as an open problem by N. Santoro at SIROCCO’98: Is it possible to distributively compute parity function (XOR) on anonymous hypercubes with dynamic faults?
We show that if the network size N (the number of processors) is known, the multiplicity of inputs (and thus any input-symmetric function) can be computed on any connected network. The time complexity depends on the details of the model and the amount of topological information, but it is always a low polynomial in N.
Supported by VEGA grant No. 2/7007/20.
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© 2000 Springer-Verlag Berlin Heidelberg
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Dobrev, S. (2000). Computing Input Multiplicity in Anonymous Synchronous Networks with Dynamic Faults. In: Brandes, U., Wagner, D. (eds) Graph-Theoretic Concepts in Computer Science. WG 2000. Lecture Notes in Computer Science, vol 1928. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-40064-8_14
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DOI: https://doi.org/10.1007/3-540-40064-8_14
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