An improved algorithm for transitive closure on acyclic digraphs
Theoretical Computer Science - Thirteenth International Colloquim on Automata, Languages and Programming, Renne
Efficient management of transitive relationships in large data and knowledge bases
SIGMOD '89 Proceedings of the 1989 ACM SIGMOD international conference on Management of data
A compression technique to materialize transitive closure
ACM Transactions on Database Systems (TODS)
Materialization Trade-Offs in Hierarchical Shortest Path Algorithms
SSD '97 Proceedings of the 5th International Symposium on Advances in Spatial Databases
Reachability and Distance Queries via 2-Hop Labels
SIAM Journal on Computing
Compact oracles for reachability and approximate distances in planar digraphs
Journal of the ACM (JACM)
Stack-based algorithms for pattern matching on DAGs
VLDB '05 Proceedings of the 31st international conference on Very large data bases
Dual Labeling: Answering Graph Reachability Queries in Constant Time
ICDE '06 Proceedings of the 22nd International Conference on Data Engineering
Fast and practical indexing and querying of very large graphs
Proceedings of the 2007 ACM SIGMOD international conference on Management of data
Fast computing reachability labelings for large graphs with high compression rate
EDBT '08 Proceedings of the 11th international conference on Extending database technology: Advances in database technology
Efficiently answering reachability queries on very large directed graphs
Proceedings of the 2008 ACM SIGMOD international conference on Management of data
Hierarchical Graph Embedding for Efficient Query Processing in Very Large Traffic Networks
SSDBM '08 Proceedings of the 20th international conference on Scientific and Statistical Database Management
A Uniform Framework for Ad-Hoc Indexes to Answer Reachability Queries on Large Graphs
DASFAA '09 Proceedings of the 14th International Conference on Database Systems for Advanced Applications
A Uniform Framework for Ad-Hoc Indexes to Answer Reachability Queries on Large Graphs
DASFAA '09 Proceedings of the 14th International Conference on Database Systems for Advanced Applications
An Efficient Algorithm for Answering Graph Reachability Queries
ICDE '08 Proceedings of the 2008 IEEE 24th International Conference on Data Engineering
3-HOP: a high-compression indexing scheme for reachability query
Proceedings of the 2009 ACM SIGMOD International Conference on Management of data
Combining hierarchical and goal-directed speed-up techniques for dijkstra's algorithm
Journal of Experimental Algorithmics (JEA)
Contraction hierarchies: faster and simpler hierarchical routing in road networks
WEA'08 Proceedings of the 7th international conference on Experimental algorithms
Path-hop: efficiently indexing large graphs for reachability queries
CIKM '10 Proceedings of the 19th ACM international conference on Information and knowledge management
GRAIL: scalable reachability index for large graphs
Proceedings of the VLDB Endowment
Path-tree: An efficient reachability indexing scheme for large directed graphs
ACM Transactions on Database Systems (TODS)
A memory efficient reachability data structure through bit vector compression
Proceedings of the 2011 ACM SIGMOD International Conference on Management of data
Distance-constraint reachability computation in uncertain graphs
Proceedings of the VLDB Endowment
Decomposing DAGs into spanning trees: A new way to compress transitive closures
ICDE '11 Proceedings of the 2011 IEEE 27th International Conference on Data Engineering
A hub-based labeling algorithm for shortest paths in road networks
SEA'11 Proceedings of the 10th international conference on Experimental algorithms
Highway hierarchies hasten exact shortest path queries
ESA'05 Proceedings of the 13th annual European conference on Algorithms
Fast computation of reachability labeling for large graphs
EDBT'06 Proceedings of the 10th international conference on Advances in Database Technology
SCARAB: scaling reachability computation on large graphs
SIGMOD '12 Proceedings of the 2012 ACM SIGMOD International Conference on Management of Data
I/O cost minimization: reachability queries processing over massive graphs
Proceedings of the 15th International Conference on Extending Database Technology
Efficient reachability query evaluation in large spatiotemporal contact datasets
Proceedings of the VLDB Endowment
Engineering highway hierarchies
Journal of Experimental Algorithmics (JEA)
K-reach: who is in your small world
Proceedings of the VLDB Endowment
Performance guarantees for distributed reachability queries
Proceedings of the VLDB Endowment
TF-Label: a topological-folding labeling scheme for reachability querying in a large graph
Proceedings of the 2013 ACM SIGMOD International Conference on Management of Data
Fast exact shortest-path distance queries on large networks by pruned landmark labeling
Proceedings of the 2013 ACM SIGMOD International Conference on Management of Data
IS-Label: an independent-set based labeling scheme for point-to-point distance querying
Proceedings of the VLDB Endowment
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A reachability oracle (or hop labeling) assigns each vertex v two sets of vertices: Lout(v) and Lin(v), such that u reaches v iff Lout(u) ∩ Lin(v) ≠ 0. Despite their simplicity and elegance, reachability oracles have failed to achieve efficiency in more than ten years since their introduction: The main problem is high construction cost, which stems from a set-cover framework and the need to materialize transitive closure. In this paper, we present two simple and efficient labeling algorithms, Hierarchical-Labeling and Distribution-Labeling, which can work onmassive real-world graphs: Their construction time is an order of magnitude faster than the set-cover based labeling approach, and transitive closure materialization is not needed. On large graphs, their index sizes and their query performance can now beat the state-of-the-art transitive closure compression and online search approaches.