Issue No. 05 - May (1978 vol. 27)

ISSN: 0018-9340

pp: 459-462

J.P. Hayes , Department of Electrical Engineering, University of Southern California

ABSTRACT

The problem of measuring the structural complexity of logic networks is examined. A complexity measure p(N) is proposed which is the total number of input-output paths in an acyclic network N. p(N) is easily computed by representing network structure in matrix form. It is shown that simple upper bounds on the number of tests required by a combinational network N can be derived from p(N). These bounds are fairly tight when N contains little or no fan-out. The path complexity of combinational functions is defined and briefly discussed.

INDEX TERMS

testability, Acyclic networks, combinational functions, complexity measures, fault diagnosis, logic networks, path complexity, path number

CITATION

J.P. Hayes, "Path Complexity of Logic Networks",

*IEEE Transactions on Computers*, vol. 27, no. , pp. 459-462, May 1978, doi:10.1109/TC.1978.1675127