We introduce a graph-theoretical approach to the study of approximation of non-Boolean functions on Boolean algebra. We show that optimal interpolations of non-Boolean functions by Boolean functions are linked to minimal chromatic decompositions of graphs attached to these functions and we study special vertices in these graphs.
Citation:
Sergiu Rudeanu, Dan A. Simovici, "A Graph-Theoretical Approach to Boolean Interpolation of Non-Boolean Functions," ismvl, pp.245-250, 34th International Symposium on Multiple-Valued Logic (ISMVL'04), 2004