Graphs
swMATH ID:  12277 
Software Authors:  Sommer, Christian 
Description:  Shortestpath queries in static networks. We consider the pointtopoint (approximate) shortestpath query problem, which is the following generalization of the classical singlesource (SSSP) and allpairs shortestpath (APSP) problems: we are first presented with a network (graph). A socalled preprocessing algorithm may compute certain information (a data structure or index) to prepare for the next phase. After this preprocessing step, applications may ask shortestpath or distance queries, which should be answered as fast as possible. Due to its many applications in areas such as transportation, networking, and social science, this problem has been considered by researchers from various communities (sometimes under different names): algorithm engineers construct fast route planning methods; database and information systems researchers investigate materialization tradeoffs, query processing on spatial networks, and reachability queries; and theoretical computer scientists analyze distance oracles and sparse spanners. Related problems are considered for compact routing and distance labeling schemes in networking and distributed computing and for metric embeddings in geometry as well. In this survey, we review selected approaches, algorithms, and results on shortestpath queries from these fields, with the main focus lying on the tradeoff between the index size and the query time. We survey methods for general graphs as well as specialized methods for restricted graph classes, in particular for those classes with arguable practical significance such as planar graphs and complex networks. 
Homepage:  http://www.sommer.jp/graphs/ 
Related Software:  Algorithm 97; GraphChi; Pregel; OpenStreetMap; Volume; plfit; Vivaldi; DIMACS; WebGraph; KronFit; UbiCrawler; ANF; MetExplore; SNAP; Pajek datasets 
Cited in:  110 Publications 
Standard Articles
1 Publication describing the Software, including 1 Publication in zbMATH  Year 

Shortestpath queries in static networks. Zbl 1305.68137 Sommer, Christian 
2014

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Cited by 245 Authors
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Cited in 9 Serials
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