[1991] Proceedings. Fourth CSI/IEEE International Symposium on VLSI Design 1991
DOI: 10.1109/isvd.1991.185104
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A novel VLSI solution to a difficult graph problem

Abstract: In this paper, we present a VLSI solution of the independent set problem. This graph problem occurs in many applications including computer-aided design. Our solution is based on a novel transformation of the graph to a logic circuit. The vertices in the graph are encoded with Boolean variables whose relationships are represented in the logic circuit. The transformation is derived from the energy relation of the neural network model of the logic circuit. Each input vector provides one solution of the independe… Show more

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Cited by 6 publications
(4 citation statements)
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“…Several studies have implemented graphs algorithms by direct construction in hardware [25]. For example, directional graphs have been represented as adjacency matrix in hardware and a direct construction has been used to encode the input graph's connectivity as a static circuit [26]. Recently, attracted by the application-specific performance of FPGA devices, researchers have implemented several well-known graph algorithms in FPGAs to speed up their execution [27].…”
Section: B Logic Implementationmentioning
confidence: 99%
“…Several studies have implemented graphs algorithms by direct construction in hardware [25]. For example, directional graphs have been represented as adjacency matrix in hardware and a direct construction has been used to encode the input graph's connectivity as a static circuit [26]. Recently, attracted by the application-specific performance of FPGA devices, researchers have implemented several well-known graph algorithms in FPGAs to speed up their execution [27].…”
Section: B Logic Implementationmentioning
confidence: 99%
“…Graphs represented as its adjacency matrix in hardware and the glue logic and interconnect which implement a particular algorithm. Chakradhar and Agrawal [3] use a direct construction to encode the input graph's connectivity as a static circuit. Whereas, J. Babb, M. Prank, and A. Agarwal [4] reported graph-circuit transformations for closed semiring problems: shortest path and transitive closure.…”
Section: Motivationmentioning
confidence: 99%
“…Individual details of the two prior static approaches are as follows. Chakradhar and Agrawal [3] described a graph-circuit transformation for computing a graph's independent sets. They use a direct construction (c/.…”
Section: Related Work and Comparison To Softwarementioning
confidence: 99%
“…Compiling graphs into specialized hardware circuits in order to attain rapid property computation was initially proposed for integrated circuits [3] and then more directly for reconfigurable hardware arrays [1]. Section 3 contains a direct construction similar to those of the prior work.…”
Section: Introductionmentioning
confidence: 99%