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Using biconnected components for efficient identification of upstream features in large spatial networks (GIS cup)

Published: 06 November 2018 Publication History
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  • Abstract

    This paper presents a solution to the problem posed in the ACM SIGSPATIAL GIS Cup 2018, namely to identify all upstream features---nodes and edges existing on simple paths between starting points and controllers---in a given spatial network. Our approach is based primarily on a two-sweep depth-first search which decomposes a graph into its biconnected components prior to collecting the upstream features. Our algorithm runs in linear time in the size of the graph and, in practice, is able to solve large instances with millions of features within seconds on an ordinary personal laptop, identifying features if and only if they are upstream.

    References

    [1]
    Adrian Bondy and M. Ram Murty. 2008. Graph Theory. Graduate Texts in Mathematics, Vol. 244. Springer-Verlag London.
    [2]
    John Hopcroft and Robert Tarjan. 1973. Algorithm 447: Efficient Algorithms for Graph Manipulation. Commun. ACM 16, 6 (June 1973), 372--378.
    [3]
    Bill Meehan. 2013. Modeling Electric Distribution with GIS. Esri Press.
    [4]
    Karl Menger. 1927. Zur allgemeinen Kurventheorie. Fundamenta Mathematicae 10, 1 (1927), 96--115.
    [5]
    George M. Slota and Kamesh Madduri. 2014. Simple parallel biconnectivity algorithms for multicore platforms. In 21st International Conference on High Performance Computing, HiPC 2014, Goa, India, December 17-20, 2014. IEEE Computer Society, 1--10.

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    • (2019)ACM SIGSPATIAL cup 2018 - identifying upstream features in large spatial networksSIGSPATIAL Special10.1145/3355491.335549811:1(32-35)Online publication date: 5-Aug-2019

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    1. Using biconnected components for efficient identification of upstream features in large spatial networks (GIS cup)

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        cover image ACM Conferences
        SIGSPATIAL '18: Proceedings of the 26th ACM SIGSPATIAL International Conference on Advances in Geographic Information Systems
        November 2018
        655 pages
        ISBN:9781450358897
        DOI:10.1145/3274895
        Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than the author(s) must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected].

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        Association for Computing Machinery

        New York, NY, United States

        Publication History

        Published: 06 November 2018

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        Author Tags

        1. GIS
        2. biconnected components
        3. block-cut tree
        4. graph algorithms
        5. upstream features
        6. utility networks

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        SIGSPATIAL '18 Paper Acceptance Rate 30 of 150 submissions, 20%;
        Overall Acceptance Rate 220 of 1,116 submissions, 20%

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        • (2019)ACM SIGSPATIAL cup 2018 - identifying upstream features in large spatial networksSIGSPATIAL Special10.1145/3355491.335549811:1(32-35)Online publication date: 5-Aug-2019

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