Abstract
We present a new scheme for storing a planar graph in external memory so that any online path can be traversed in an I-O efficient way. Our storage scheme significantly improves the previous results for planar graphs with bounded face size. We also prove an upper bound on I-O efficiency of any storage scheme for well-shaped triangulated meshes. For these meshes, our storage scheme achieves optimal performance.
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Surender Baswana, Sandeep Sen Planar Graph Blocking for External Searching . Algorithmica 34, 298–308 (2002). https://doi.org/10.1007/s00453-002-0969-2
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DOI: https://doi.org/10.1007/s00453-002-0969-2