Title
Partitioning 1-variable Boolean functions for various classification of n-variable Boolean functions
Abstract
AbstractThis paper addresses all possible equivalence classes of 1-variable Boolean functions and from these classes using recursion and Cartesian product of sets, 15 different ways of classifications of n-variable Boolean functions are obtained. The properties with regard to the size and the number of classes for these 15 different ways are also elaborated.
Year
DOI
Venue
2015
10.1080/00207160.2014.975418
Periodicals
Keywords
Field
DocType
integer partition, affine Boolean function, truth table, classification, carry value transformation, XOR operation, Hamming distance
Boolean network,Stone's representation theorem for Boolean algebras,Discrete mathematics,Boolean circuit,Boolean algebras canonically defined,Algebra,Parity function,Product term,Boolean expression,Two-element Boolean algebra,Mathematics
Journal
Volume
Issue
ISSN
92
10
0020-7160
Citations 
PageRank 
References 
3
0.38
5
Authors
4
Name
Order
Citations
PageRank
Ranjeet Kumar Rout1103.23
Pabitra Pal Choudhury26928.27
Sudhakar Sahoo35113.13
Camellia Ray440.73