Title
Restricted Cellular Networks
Abstract
Networks of two input-one output cells are described in which the cells are restricted to realize a subset of the 16 two-variable functions. The restriction, if appropriately chosen, will result in a network whose function set is the same as that of a network of identical structure in which each cell realizes all 16 functions. A restricted network is demonstrated which realizes exactly those functions realized by an irredundant disjunctive network which are dependent on all inputs. In addition, a restriction on cell set size is shown which produces the same functions realized by a general network in which all cells realize 16 functions. From this latter result, it can be concluded that 16 · 7c-1is an upper bound on the number of functions realizable by any network of c cells.
Year
DOI
Venue
1976
10.1109/TC.1976.1674568
Computers, IEEE Transactions
Keywords
Field
DocType
cascades,complete networks,disjunctive networks,flexible cells,polyfunctional nets,restricted networks,universal cells.,cellular network,upper bound
Discrete mathematics,Upper and lower bounds,Computer science,Cellular network
Journal
Volume
Issue
ISSN
C
11
0018-9340
Citations 
PageRank 
References 
0
0.34
10
Authors
1
Name
Order
Citations
PageRank
Butler, J.T.100.34