Communications of the ACM - Special section on computer architecture
Parallel Sorting in Two-Dimensional VLSI Models of Computation
IEEE Transactions on Computers
An Orthogonal Multiprocessor for Parallel Scientific Computations
IEEE Transactions on Computers
Analysis and applications of the orthogonal access multiprocessor
Journal of Parallel and Distributed Computing
Applied combinatorics (3rd ed.)
Applied combinatorics (3rd ed.)
Orthogonal Graphs for the Construction of a Class of Interconnection Networks
IEEE Transactions on Parallel and Distributed Systems
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A graph theoretical representation for a class of interconnection networks is suggested. The idea is based on a definition of orthogonal binary vectors and leads to a construction rule for a class of orthogonal graphs. An orthogonal graph is first defined as a set of 2m nodes, which in turn are linked by 2m-n edges for every link mode defined in an integer set Q*. The degree and diameter of an orthogonal graph are determined in terms of the parameters n, m and the number of link modes defined in Q*. Routing in orthogonal graphs is shown to reduce to the node covering problem in bipartite graphs. The proposed theory is applied to describe a number of well known interconnection networks such as the binary m-cube and spanning-bus meshes. Multi-dimensional access (MDA) memories are shown as examples of orthogonal shared memory multi-processing systems.