发表机构
University of Montana（蒙大拿大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
研究比较三种边剪枝标准对城市道路网络的影响，发现介数移除在路由效用、拓扑保留和动脉骨干保护上均优于随机和电阻排名，电阻冗余不能作为路由重要性的安全代理。
AI 中文摘要
通过移除一部分边来稀疏化大型道路网络图，是减少存储和加速空间查询的常用方法，但选择移除哪些边可能会悄然降低剩余网络的性能。我们比较了三种用于决定剪枝对象的边重要性标准，即均匀随机移除、低边介数移除和低有效电阻移除，在从OpenStreetMap提取的27个城市道路网络上进行了实验，这些网络涵盖了广泛的规模和街道网络形态。在边移除比例从5%到30%的范围内，我们沿三个互补的轴评估每种标准：长度加权路由效用、仅基于拓扑的度量（即最大连通分量的归一化拉普拉斯矩阵的第二小特征值的保留程度），以及每种标准破坏的、由OpenStreetMap道路类别定义的外部动脉骨干的比例。这些标准的结果不一致。低有效电阻排名针对的是电气冗余边，仅在移除比例低于10%时能很好地保持连通性；超过这一水平，在越来越多的城市中，其保留程度低于随机移除，到30%时，该方法移除的动脉骨干比例高于随机删除。介数移除在三个轴上、在每个移除比例下始终是三种标准中最好的。因此，在压缩真实道路网络时，基于电阻的冗余性并不是路由重要性的安全代理，而基于路由的标准是更可靠的选择。
英文摘要
Sparsifying large road-network graphs by removing a fraction of their edges is a common way to reduce storage and accelerate spatial queries, but the choice of which edges to remove can quietly degrade the network that remains. We compare three edge-importance criteria for deciding what to prune, namely uniform random removal, low edge-betweenness removal, and low-effective-resistance removal, on 27 urban road networks drawn from OpenStreetMap that span a wide range of sizes and street-network morphologies. At edge-removal ratios from five to thirty percent we evaluate each criterion along three complementary axes: length-weighted routing utility, a topology-only measure given by the retention of the second-smallest eigenvalue of the normalized Laplacian of the largest connected component, and the fraction of an externally defined arterial backbone, taken from OpenStreetMap road classes, that each criterion destroys. The criteria disagree. Low-effective-resistance ranking, which targets electrically redundant edges, preserves connectivity well only below ten percent removal; beyond this level, retention falls below that of random removal in a growing majority of cities, and by thirty percent the method removes a larger share of the arterial backbone than random deletion does. Betweenness removal is consistently the best of the three on all three axes, at every removal ratio. Resistance-based redundancy is therefore not a safe proxy for routing importance when compressing real road networks, and a routing-oriented criterion is the more dependable choice.
CommentsAccepted at ACM SIGSPATIAL
