Planar graph decomposition and all pairs shortest paths
Journal of the ACM (JACM)
High probability parallel transitive-closure algorithms
SIAM Journal on Computing
The space reduction method: a method to reduce the size of search spaces
Information Processing Letters
Using cellular graph embeddings in solving all pairs shortest paths problems
Journal of Algorithms
MFCS '94 Selected papers from the 19th international symposium on Mathematical foundations of computer science
Shortest paths in digraphs of small treewidth. Part II: optimal parallel algorithms
ESA '95 Selected papers from the third European symposium on Algorithms
A computational study of routing algorithms for realistic transportation networks
Journal of Experimental Algorithmics (JEA)
Dijkstra's algorithm on-line: an empirical case study from public railroad transport
Journal of Experimental Algorithmics (JEA)
Formal-Language-Constrained Path Problems
SIAM Journal on Computing
Algorithms for Searching Massive Graphs
IEEE Transactions on Knowledge and Data Engineering
Path Computation Algorithms for Advanced Traveller Information System (ATIS)
Proceedings of the Ninth International Conference on Data Engineering
HiTi Graph Model of Topographical Roadmaps in Navigation Systems
ICDE '96 Proceedings of the Twelfth International Conference on Data Engineering
Modelling a Hierarchy of Space Applied to Large Road Networks
IGIS '94 Proceedings of the International Workshop on Advanced Information Systems: Geographic Information Systems
Travel Planning with Self-Made Maps
ALENEX '01 Revised Papers from the Third International Workshop on Algorithm Engineering and Experimentation
Materialization Trade-Offs in Hierarchical Shortest Path Algorithms
SSD '97 Proceedings of the 5th International Symposium on Advances in Spatial Databases
Pareto Shortest Paths is Often Feasible in Practice
WAE '01 Proceedings of the 5th International Workshop on Algorithm Engineering
Route planning and map inference with global positioning traces
Computer Science in Perspective
Generating node coordinates for shortest-path computations in transportation networks
Journal of Experimental Algorithmics (JEA)
Computing the shortest path: A search meets graph theory
SODA '05 Proceedings of the sixteenth annual ACM-SIAM symposium on Discrete algorithms
Geometric containers for efficient shortest-path computation
Journal of Experimental Algorithmics (JEA)
Combining speed-up techniques for shortest-path computations
Journal of Experimental Algorithmics (JEA)
Efficient models for timetable information in public transportation systems
Journal of Experimental Algorithmics (JEA)
Nondecreasing paths in a weighted graph or: how to optimally read a train schedule
Proceedings of the nineteenth annual ACM-SIAM symposium on Discrete algorithms
Engineering multilevel overlay graphs for shortest-path queries
Journal of Experimental Algorithmics (JEA)
Point-to-Point Shortest Path Algorithms with Preprocessing
SOFSEM '07 Proceedings of the 33rd conference on Current Trends in Theory and Practice of Computer Science
Computers and Industrial Engineering
The Shortcut Problem --- Complexity and Approximation
SOFSEM '09 Proceedings of the 35th Conference on Current Trends in Theory and Practice of Computer Science
Engineering Route Planning Algorithms
Algorithmics of Large and Complex Networks
On A☆ search with stopover areas
International Journal of Geographical Information Science
A generalization of Dijkstra's shortest path algorithm with applications to VLSI routing
Journal of Discrete Algorithms
Combining hierarchical and goal-directed speed-up techniques for dijkstra's algorithm
Journal of Experimental Algorithmics (JEA)
Speed-up techniques for shortest-path computations
STACS'07 Proceedings of the 24th annual conference on Theoretical aspects of computer science
WEA'07 Proceedings of the 6th international conference on Experimental algorithms
Nondecreasing paths in a weighted graph or: How to optimally read a train schedule
ACM Transactions on Algorithms (TALG)
Algorithm engineering: bridging the gap between algorithm theory and practice
Algorithm engineering: bridging the gap between algorithm theory and practice
Timetable information: models and algorithms
ATMOS'04 Proceedings of the 4th international Dagstuhl, ATMOS conference on Algorithmic approaches for transportation modeling, optimization, and systems
Finding all attractive train connections by multi-criteria Pareto search
ATMOS'04 Proceedings of the 4th international Dagstuhl, ATMOS conference on Algorithmic approaches for transportation modeling, optimization, and systems
Dynamic arc-flags in road networks
SEA'11 Proceedings of the 10th international conference on Experimental algorithms
SEA'11 Proceedings of the 10th international conference on Experimental algorithms
Goal directed shortest path queries using precomputed cluster distances
WEA'06 Proceedings of the 5th international conference on Experimental Algorithms
Highway hierarchies hasten exact shortest path queries
ESA'05 Proceedings of the 13th annual European conference on Algorithms
Acceleration of shortest path and constrained shortest path computation
WEA'05 Proceedings of the 4th international conference on Experimental and Efficient Algorithms
Algorithm engineering for route planning: an update
ISAAC'11 Proceedings of the 22nd international conference on Algorithms and Computation
Engineering highway hierarchies
Journal of Experimental Algorithmics (JEA)
Fully dynamic maintenance of arc-flags in road networks
SEA'12 Proceedings of the 11th international conference on Experimental Algorithms
Energy-optimal routes for electric vehicles
Proceedings of the 21st ACM SIGSPATIAL International Conference on Advances in Geographic Information Systems
Routing directions: keeping it fast and simple
Proceedings of the 21st ACM SIGSPATIAL International Conference on Advances in Geographic Information Systems
Search-Space size in contraction hierarchies
ICALP'13 Proceedings of the 40th international conference on Automata, Languages, and Programming - Volume Part I
Shortest-path queries in static networks
ACM Computing Surveys (CSUR)
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In many fields of application, shortest path finding problems in very large graphs arise. Scenarios where large numbers of on-line queries for shortest paths have to be processed in real-time appear for example in traffic information systems. In such systems, the techniques considered to speed up the shortest path computation are usually based on precomputed information. One approach proposed often in this context is a space reduction, where precomputed shortest paths are replaced by single edges with weight equal to the length of the corresponding shortest path. In this paper, we give a first systematic experimental study of such a space reduction approach. We introduce the concept of multi-level graph decomposition. For one specific application scenario from the field of timetable information in public transport, we perform a detailed analysis and experimental evaluation of shortest path computations based on multi-level graph decomposition.