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2006•Unpublished venueRequires access

Cache-oblivious dynamic programming

Rezaul Chowdhury, Vijaya Ramachandran

Open publisher page 63 citations

Abstract

We present efficient cache-oblivious algorithms for several fundamental dynamic programs. These include new algorithms with improved cache performance for longest common subsequence (LCS), edit distance, gap (i.e., edit distance with gaps), and least weight subsequence. We present a new cache-oblivious framework called the Gaussian Elimination Paradigm (GEP) for Gaussian elimination without pivoting that also gives cache-oblivious algorithms for Floyd-Warshall all-pairs shortest paths in graphs and ‘simple DP’, among other problems. 1

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What this paper is about

We present efficient cache-oblivious algorithms for several fundamental dynamic programs. These include new algorithms with improved cache performance for longest common subsequence (LCS), edit distance, gap (i.e., edit distance with gaps), and least weight subsequence. We present a new cache-oblivious framework called the Gaussian Elimination Paradigm (GEP) for Gaussian elimination without pivoting that also gives cache-oblivious algorithms for Floyd-Warshall all-pairs shortest paths in graphs and ‘simple DP’, among other problems. 1

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OpenAlex reports 63 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

We present efficient cache-oblivious algorithms for several fundamental dynamic programs. These include new algorithms with improved cache performance for longest common subsequence (LCS), edit distance, gap (i.e., edit distance with gaps), and least weight subsequence. We present a new cache-oblivious framework called the Gaussian Elimination Paradigm (GEP) for Gaussian elimination without pivoting that also gives cache-oblivious algorithms for Floyd-Warshall all-pairs shortest paths in graphs and ‘simple DP’, among other problems. 1

Key concepts: Computer science, Cache, Parallel computing, Cache algorithms, Cache-oblivious algorithm, Longest common subsequence problem, Simple (philosophy), Theoretical computer science

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