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On Fixed Points and Cycles in the Reed Muller Domain

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3 Author(s)
Moraga, Claudio ; Eur. Centre for Soft Comput., Mieres ; Stojkovic, S. ; Stanković, R.S.

This paper studies cycles that appear by repeatedly applying the RM transform to a p-valued function. It is shown that there are nontrivial fixed points, which correspond to eigenvectors of the transform and a simple method is proposed to determine the maximum period of n-place functions for a given p. The concept of spectral diversity is introduced, which may be applied to characterize p-valued functions.

Published in:

Multiple Valued Logic, 2008. ISMVL 2008. 38th International Symposium on

Date of Conference:

22-24 May 2008