A Simple Architecture for Constant Time Sorting Machines Tsong-Chih Hsu and Sheng-De W a n g Dept. of Electrical Engineering EE Building, Rm. 441 National Taiwan University Taipei, Taiwan, R.O.C. A b s t r a c t - In this paper, we propose a constant time sorting algorithm on an array composed of comparators and single-pole-double-throw switches, which is far more feasible than other constant time sorting algorithms [21]-[23]. Our results shown that the algorithm uses time T =O(1) and area A = O ( N 3 ) . T h i s nearly matches the A T 2 = ~ ( N 2 log 2 N ) lower bound for sorting in the VLSI model. Keywords: constant time sorting, sorting by ranking, enumeration sort, parallel algorithm, mesh of trees. 1. I n t r o d u c t i o n Many exciting developments have made in the field of computerized sorting since publications of the special issues on this subject 31 years ago in C o m m u n i c a t i o n s o f the A C M and 9 years ago in I E E E T
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