Title
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On-line maintenance of simplified weighted graphs for efficient distance queries
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Author
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Abstract
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We give two efficient on-line algorithms to simplify weighted graphs by eliminating degree-two vertices. Our algorithms are on-line---they react to updates on the data, keeping the simplification up-to-date. We provide both analytical and empirical evaluations of the efficiency of our algorithms. We prove an O(log n) upper bound on the amortized time complexity of our maintenance algorithms, with n the number of insertions. One of our algorithms can handle in logarithmic time the deletions of vertices and edges as well. |
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Language
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English
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Source (book)
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Proceedings of the 14th ACM International Symposium on Geographic Information Systems (ACM-GIS 2006), Arlington, Va, USA, November 10-11, 2006 / By, de, Rolf A. [edit.]; et al.
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Publication
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S.l.
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ACM
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2006
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ISBN
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1-59593-529-0
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DOI
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10.1145/1183471.1183505
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Volume/pages
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p. 203-210
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Full text (Publisher's DOI)
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