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Cache-Oblivious Planar Shortest Paths

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 3580))

Abstract

We present an efficient cache-oblivious implementation of the shortest-path algorithm for planar graphs by Klein et al., and prove that it incurs no more than \({\mathcal O}(\frac{N}{B^{1/2 - \epsilon}} + \frac{N}{B}{\rm log}N\)) block transfers on a graph with N vertices. This is the first cache-oblivious algorithm for this problem that incurs o(N) block transfers.

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Jampala, H., Zeh, N. (2005). Cache-Oblivious Planar Shortest Paths. In: Caires, L., Italiano, G.F., Monteiro, L., Palamidessi, C., Yung, M. (eds) Automata, Languages and Programming. ICALP 2005. Lecture Notes in Computer Science, vol 3580. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11523468_46

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  • DOI: https://doi.org/10.1007/11523468_46

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-27580-0

  • Online ISBN: 978-3-540-31691-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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