Finding the shortest paths from a single source to all other vertices is a fundamental method used in a variety of higher-level graph algorithms. We present three parallelfriendly and work-efficient methods to solve this Single-Source Shortest Paths (SSSP) problem: Workfront Sweep, Near-Far and Bucketing. These methods choose different approaches to balance the tradeoff between saving work and organizational overhead.In practice, all of these methods do much less work than traditional Bellman-Ford methods, while adding only a modest amount of extra work over serial methods. These methods are designed to have a sufficient parallel workload to fill modern massively-parallel machines, and select reorganizational schemes that map well to these architectures. We show that in general our Near-Far method has the highest performance on modern GPUs, outperforming other parallel methods.We also explore a variety of parallel load-balanced graph traversal strategies and apply them towards our SSSP solver. Our work-saving methods always outperform a traditional GPU Bellman-Ford implementation, achieving rates up to 14x higher on low-degree graphs and 340x higher on scalefree graphs. We also see significant speedups (20-60x) when compared against a serial implementation on graphs with adequately high degree.

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Abstract. We implement two classes of suffix array construction algorithms on the GPU. The first, skew, makes algorithmic improvements to the previous work of Deo and Keely to achieve a speedup of 1.45x over their work. The second, a hybrid skew and prefix-doubling implementation, is the first of its kind on the GPU and achieves a speedup of 2.3-4.4x over Osipov's prefix-doubling and 2.4-7.9x over our skew implementation on large datasets. Our implementations rely on two efficient parallel primitives, a merge and a segmented sort. We also demonstrate the effectiveness of our implementations in a Burrows-Wheeler transform and a parallel FM index for pattern searching.

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Summary Suffix arrays are fundamental full‐text index data structures of importance to a broad spectrum of applications in such fields as bioinformatics, Burrows–Wheeler transform‐based lossless data compression, and information retrieval. In this work, we propose and implement two massively parallel approaches on the graphics processing unit (GPU) based on two classes of suffix array construction algorithms. The first, parallel skew, makes algorithmic improvements to the previous work of Deo and Keely to achieve a speedup of 1.45x over their work. The second, a hybrid skew and prefix‐doubling implementation, is the first of its kind on the GPU and achieves a speedup of 2.3–4.4x over Osipov's prefix‐doubling and 2.4–7.9x over our skew implementation on large datasets. Our implementations rely on two efficient parallel primitives, a merge and a segmented sort. We theoretically analyze the two formulations of suffix array construction algorithms and show performance comparisons on a large variety of practical inputs. We conclude that, with the novel use of our efficient segmented sort, prefix‐doubling is more competitive than skew on the GPU. We also demonstrate the effectiveness of our methods in our implementations of the Burrows‐Wheeler transform and in a parallel full‐text, minute‐space‐index for pattern searching. Copyright © 2016 John Wiley & Sons, Ltd.