Title :
A graph-theoretical approach to Boolean interpolation of non-Boolean functions
Author :
Rudeanu, Sergiu ; Simovici, Dan A.
Author_Institution :
Fac. of Math., Bucharest Univ., Romania
Abstract :
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.
Keywords :
Boolean algebra; function approximation; graph theory; interpolation; Boolean algebra; Boolean functions; graph minimal chromatic decompositions; graph vertices; graph-theoretical methods; nonBoolean function Boolean interpolation; nonBoolean function approximation; Boolean algebra; Boolean functions; Circuits; Interpolation; Mathematics;
Conference_Titel :
Multiple-Valued Logic, 2004. Proceedings. 34th International Symposium on
Print_ISBN :
0-7695-2130-4
DOI :
10.1109/ISMVL.2004.1319949