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| E. Morreale, "Computational Complexity of Partitioned List Algorithms," IEEE Transactions on Computers, vol. 19, no. 5, pp. 421-428, May, 1970. | |||
| BibTex | x | ||
| @article{ 10.1109/T-C.1970.222940, author = {E. Morreale}, title = {Computational Complexity of Partitioned List Algorithms}, journal ={IEEE Transactions on Computers}, volume = {19}, number = {5}, issn = {0018-9340}, year = {1970}, pages = {421-428}, doi = {http://doi.ieeecomputersociety.org/10.1109/T-C.1970.222940}, publisher = {IEEE Computer Society}, address = {Los Alamitos, CA, USA}, } | |||
| RefWorks Procite/RefMan/Endnote | x | ||
| TY - JOUR JO - IEEE Transactions on Computers TI - Computational Complexity of Partitioned List Algorithms IS - 5 SN - 0018-9340 SP421 EP428 EPD - 421-428 A1 - E. Morreale, PY - 1970 KW - Boolean functions KW - computational complexity KW - computing time KW - maximum number of k cubes KW - memory area KW - minimization KW - partitioned list KW - prime implicants KW - Quine-McCluskey algorithm. VL - 19 JA - IEEE Transactions on Computers ER - | |||
Some parameters related to the computational complexity of partitioned list algorithms are evaluated. Specifically, an upper bound is computed for the average number of comparisons needed by the most unsophisticated version of a partitioned list algorithm for processing a Boolean function in v variables and u canonical clauses. For the same functions the average memory size required for processing is also computed. Furthermore the minimum memory size necessary for processing any Boolean function in u canonical clauses by either a partitioned or a nonpartitioned list algorithm is computed. Results obtained from the above comparisons demonstrate that partitioned list algorithms compare favorably with nonpartitioned ones both with regard to the time and the memory required for computation.
Index Terms:
Boolean functions, computational complexity, computing time, maximum number of k cubes, memory area, minimization, partitioned list, prime implicants, Quine-McCluskey algorithm.
Citation:
E. Morreale, "Computational Complexity of Partitioned List Algorithms," IEEE Transactions on Computers, vol. 19, no. 5, pp. 421-428, May 1970, doi:10.1109/T-C.1970.222940
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