Graph algorithms and NP-completeness
Graph algorithms and NP-completeness
PODS '87 Proceedings of the sixth ACM SIGACT-SIGMOD-SIGART symposium on Principles of database systems
A study of transitive closure as a recursion mechanism
SIGMOD '87 Proceedings of the 1987 ACM SIGMOD international conference on Management of data
Amortized efficiency of a path retrieval data structure
Theoretical Computer Science
Principles of database and knowledge-base systems, Vol. I
Principles of database and knowledge-base systems, Vol. I
Efficient evaluation of right-, left-, and multi-linear rules
SIGMOD '89 Proceedings of the 1989 ACM SIGMOD international conference on Management of data
Direct transitive closure algorithms: design and performance evaluation
ACM Transactions on Database Systems (TODS)
The input/output complexity of transitive closure
SIGMOD '90 Proceedings of the 1990 ACM SIGMOD international conference on Management of data
Right-, left-, and multi-linear rule transformations that maintain context information
Proceedings of the sixteenth international conference on Very large databases
Overbound and right-linear queries
PODS '91 Proceedings of the tenth ACM SIGACT-SIGMOD-SIGART symposium on Principles of database systems
Mixed-approach algorithms for transitive closure (extended abstract)
PODS '91 Proceedings of the tenth ACM SIGACT-SIGMOD-SIGART symposium on Principles of database systems
Graph-theoretic methods in database theory
PODS '90 Proceedings of the ninth ACM SIGACT-SIGMOD-SIGART symposium on Principles of database systems
A data structure for arc insertion and regular path finding
SODA '90 Proceedings of the first annual ACM-SIAM symposium on Discrete algorithms
Journal of the ACM (JACM)
Communications of the ACM
Universality of data retrieval languages
POPL '79 Proceedings of the 6th ACM SIGACT-SIGPLAN symposium on Principles of programming languages
The Design and Analysis of Computer Algorithms
The Design and Analysis of Computer Algorithms
A Suitable Algorithm for Computing Partial Transitive Closures in Databases
Proceedings of the Sixth International Conference on Data Engineering
A Spanning Tree Transitive Closure Algorithm
Proceedings of the Eighth International Conference on Data Engineering
Direct Algorithms for Computing the Transitive Closure of Database Relations
VLDB '87 Proceedings of the 13th International Conference on Very Large Data Bases
Efficient Transitive Closure Algorithms
VLDB '88 Proceedings of the 14th International Conference on Very Large Data Bases
A performance study of transitive closure algorithms
SIGMOD '94 Proceedings of the 1994 ACM SIGMOD international conference on Management of data
The Strong Partial Transitive-Closure Problem: Algorithms and Performance Evaluation
IEEE Transactions on Knowledge and Data Engineering
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We discuss a technique for query evaluation based on storing intermediary results as trees and study two applications. We first consider the problem of computing the transitive closure of a graph for a specific set of source nodes. Algorithms for this problem can be directly applied to many nonrecursive queries as well. We give a new algorithm and show that it is superior to several previous algorithms. We then consider Warshall's transitive closure algorithm. This algorithm is not O(n e), but we show that by using trees instead flat representations of intermediary results, we can derive a new version of the algorithm with an O(n e upper bound.