Title
Number Of Prime Implicants
Abstract
It is shown that any Boolean expression in disjunctive normal form having k conjuncts, can have at most 2 k prime implicants. However, there exist such expressions that have 2 k 2 prime implicants. It is also shown that any Boolean expression on n distinct propositional variables can have at most O( 3 n n ) prime implicants, and that there exist expressions with ω( 3 n n prime implicants.
Year
DOI
Venue
1978
10.1016/0012-365X(78)90168-1
DISCRETE MATHEMATICS
Field
DocType
Volume
Discrete mathematics,Combinatorics,Expression (mathematics),Disjunctive normal form,Implicant,Boolean expression,Mathematics,Propositional variable
Journal
24
Issue
ISSN
Citations 
1
0012-365X
45
PageRank 
References 
Authors
4.45
2
2
Name
Order
Citations
PageRank
Ashok K. Chandra131161215.02
George Markowsky2658353.44