H-BFT: A fast Breadth-First Traversal algorithm for Sparse graphs and its GPU implementation

Abstract

With Moore's law in effect, as the complexity of digital electronic circuits increases, the amount of time spent by the electronic design automation (EDA) tools to design such circuits also increases. It brings us to the point, where we need to improve the performance of EDA algorithms to fulfil the present and the future requirements of the EDA industry. Out of many algorithms used by these tools, Breadth First Traversal (BFT) is one of the most commonly used algorithms to traverse the gates of electronic circuits. In this paper, we present a new simple, fast and parallelizable BFT algorithm for sparse graphs, named H-BFT. We show that the CPU implementation of H-BFT is about 75× faster than the CPU implementation of the state of the art, the Sparse Matrix-Vector Product (SMVP) based BFT. Further, with the new features introduced by NVIDIA in their GPUs, we have accelerated both the state of the art SMVP based BFT implementation and our new H-BFT implementation. The best speedups we achieved via these accelerations are 180× and 25× for the SMVP-BFT and H-BFT respectively.