External data structures for shortest path queries on planar digraphs

被引:0
|
作者
Arge, L [1 ]
Toma, L
机构
[1] Duke Univ, Durham, NC 27708 USA
[2] Bowdoin Coll, Brunswick, ME 04011 USA
来源
ALGORITHMS AND COMPUTATION | 2005年 / 3827卷
关键词
D O I
暂无
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
In this paper we present space-query trade-offs for external memory data structures that answer shortest path queries on planar directed graphs. For any S = Omega(N1+epsilon) and S = O(N-2/B), our main result is a family of structures that use S space and answer queries in O(N-2/SB) I/Os, thus obtaining optimal space-query product O(N-2/B). An S space structure can be constructed in O(root S center dot sort(N)) I/Os, where sort(N) is the number of I/Os needed to sort N elements, B is the disk block size, and N is the size of the graph.
引用
收藏
页码:328 / 338
页数:11
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