Fast and Compact Planar Embeddings

dc.contributor.authorFerres, Leo
dc.contributor.authorFuentes-SepĂșlveda, JosĂ©
dc.contributor.authorGagie, Travis
dc.contributor.authorHe, Meng
dc.date.accessioned2022-03-02T14:38:02Z
dc.date.available2022-03-02T14:38:02Z
dc.date.issued2017
dc.descriptionConference paperes
dc.description.abstractThere are many representations of planar graphs, but few are as elegant as Turan's (1984): it is simple and practical, uses only 4 bits per edge, can handle self-loops and multiedges, and can store any specified embedding. Its main disadvantage has been that "it does not allow efficient searching" (Jacobson, 1989). In this paper we show how to add a sublinear number of bits to Turan's representation such that it supports fast navigation while retaining simplicity. As a consequence of the inherited simplicity, we offer the first efficient parallel construction of a compact encoding of a planar graph embedding. Our experimental results show that the resulting representation uses about 6 bits per edge in practice, supports basic navigation operations within a few microseconds, and can be built sequentially at a rate below 1 microsecond per edge, featuring a linear speedup with a parallel efficiency around 50% for large datasets. (C) 2020 Elsevier B.V. All rights reservedes
dc.description.versionVersiĂłn enviadaes
dc.identifier.citationFerres L., Fuentes J., Gagie T., He M., Navarro G. (2017) Fast and Compact Planar Embeddings. In: Ellen F., Kolokolova A., Sack JR. (eds) Algorithms and Data Structures. WADS 2017. Lecture Notes in Computer Science, vol 10389. Springer, Chames
dc.identifier.urihttps://doi.org/10.1007/978-3-319-62127-2_33es
dc.identifier.urihttp://hdl.handle.net/11447/5637
dc.language.isoenes
dc.subjectPlanar embeddinges
dc.subjectCompact data structureses
dc.subjectParallel constructiones
dc.titleFast and Compact Planar Embeddingses
dc.typeOtheres
dcterms.sourceLecture Notes in Computer Sciencees

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