Amortized efficiency of a path retrieval data structure
Theoretical Computer Science
Finding paths and deleting edges in directed acyclic graphs
Information Processing Letters
Maintenance of transitive closures and transitive reductions of graphs
Proceedings of the International Workshop WG '87 on Graph-theoretic concepts in computer science
Parallel processing in cellular arrays
Parallel processing in cellular arrays
A simple implementation of Dijkstra's shortest path algorithm on associative parallel processors
Fundamenta Informaticae - Special issue on Concurrency specification and programming (CS&P)
Content Addressable Parallel Processors
Content Addressable Parallel Processors
Euro-Par '96 Proceedings of the Second International Euro-Par Conference on Parallel Processing - Volume I
Solution of Path Problems Using Associative Parallel Processors
ICPADS '97 Proceedings of the 1997 International Conference on Parallel and Distributed Systems
Fully dynamic biconnectivity and transitive closure
FOCS '95 Proceedings of the 36th Annual Symposium on Foundations of Computer Science
ICPADS '01 Proceedings of the Eighth International Conference on Parallel and Distributed Systems
Associative version of italiano's decremental algorithm for the transitive closure problem
PaCT'07 Proceedings of the 9th international conference on Parallel Computing Technologies
Hi-index | 0.00 |
We propose a simple data structure for an efficient implementation of the Italiano algorithms for the dynamic updating of the transitive closure of a directed graph represented as adjacency matrix on a model of associative (or content addressable) parallel processors with vertical processing (the STAR-machine). Associative versions of the Italiano algorithms are represented as procedures DeleteArc1 and InsertArc1. We prove the correctness of these procedures and evaluate their time and space complexity. We also present the main advantages of associative versions of the Italiano algorithms.