Principles of CMOS VLSI design: a systems perspective
Principles of CMOS VLSI design: a systems perspective
A Heuristic for Suffix Solutions
IEEE Transactions on Computers
Depth-size trade-offs for parallel prefix computation
Journal of Algorithms
Faster optimal parallel prefix sums and list ranking
Information and Computation
Scans as Primitive Parallel Operations
IEEE Transactions on Computers
Limited width parallel prefix circuits
The Journal of Supercomputing
Parallel computing using the prefix problem
Parallel computing using the prefix problem
Using MPI: portable parallel programming with the message-passing interface
Using MPI: portable parallel programming with the message-passing interface
The Strict Time Lower Bound and Optimal Schedules for Parallel Prefix with Resource Constraints
IEEE Transactions on Computers
Parallel computation: models and methods
Parallel computation: models and methods
Asynchronous Parallel Prefix Computation
IEEE Transactions on Computers
Finding optimal parallel prefix circuits with fan-out 2 in constant time
Information Processing Letters
Journal of the ACM (JACM)
A New Class of Depth-Size Optimal Parallel Prefix Circuits
The Journal of Supercomputing
Efficient parallel prefix algorithms on mulitport message-passing systems
Information Processing Letters
New bounds for parallel prefix circuits
STOC '83 Proceedings of the fifteenth annual ACM symposium on Theory of computing
Parallel complexity of the medial axis computation
ICIP '95 Proceedings of the 1995 International Conference on Image Processing (Vol.2)-Volume 2 - Volume 2
Z4: a new depth-size optimal parallel prefix circuit with small depth
Neural, Parallel & Scientific Computations
A new approach to constructing optimal parallel prefix circuits with small depth
Journal of Parallel and Distributed Computing
Constructing zero-deficiency parallel prefix adder of minimum depth
Proceedings of the 2005 Asia and South Pacific Design Automation Conference
Faster optimal parallel prefix circuits: New algorithmic construction
Journal of Parallel and Distributed Computing
On the construction of zero-deficiency parallel prefix circuits with minimum depth
ACM Transactions on Design Automation of Electronic Systems (TODAES)
Computation-efficient parallel prefix
AIC'06 Proceedings of the 6th WSEAS International Conference on Applied Informatics and Communications
Two families of parallel prefix algorithms for multicomputers
TELE-INFO'08 Proceedings of the 7th WSEAS International Conference on Telecommunications and Informatics
Straightforward construction of depth-size optimal, parallel prefix circuits with fan-out 2
ACM Transactions on Design Automation of Electronic Systems (TODAES)
Parallel prefix algorithms on the multicomputer
WSEAS Transactions on Computer Research
Fast problem-size-independent parallel prefix circuits
Journal of Parallel and Distributed Computing
New parallel prefix algorithms
AIC'09 Proceedings of the 9th WSEAS international conference on Applied informatics and communications
New families of computation-efficient parallel prefix algorithms
WSEAS Transactions on Computers
Functional and dynamic programming in the design of parallel prefix networks
Journal of Functional Programming
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Given n values x1, x2,…,xn and an associative binary operation ⊗, the prefix problem is to compute x1⊗x2⊗⃛⊗xi, 1≤i≤n. Prefix circuits are combinational circuits for solving the prefix problem. For any n-input prefix circuit D with depth d and size s, if d+s=2n−2, then D is depth-size optimal. In general, a prefix circuit with a small depth is faster than one with a large depth. For prefix circuits with the same depth, a prefix circuit with a smaller fan-out occupies less area and is faster in VLSI implementation. This paper is on constructing parallel prefix circuits that are depth-size optimal with small depth and small fan-out. We construct a depth-size optimal prefix circuit H4 with fan-out 4. It has the smallest depth among all known depth-size optimal prefix circuits with a constant fan-out; furthermore, when n≥136, its depth is less than, or equal to, those of all known depth-size optimal prefix circuits with unlimited fan-out. A size lower bound of prefix circuits is also derived. Some properties related to depth-size optimality and size optimality are introduced; they are used to prove that H4 is depth-size optimal.