A transitive closure algorithm
β Scribed by Paul Purdom
- Book ID
- 112656987
- Publisher
- Springer Netherlands
- Year
- 1970
- Tongue
- English
- Weight
- 997 KB
- Volume
- 10
- Category
- Article
- ISSN
- 0006-3835
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
This paper presents an efficient fully dynamic graph algorithm for maintaining the transitive closure of a directed graph. The algorithm updates the adjacency matrix of the transitive closure with each update to the graph; hence, each reachability query of the form ''Is there a directed path from i
Let Ο (n) denote the number of all strongly connected graphs on the n-element set. We prove that Ο (n) ). Hence the algorithm computing a transitive closure by a reduction to acyclic graphs has the expected time O(n 2 ), under the assumption of uniform distribution of input graphs. Furthermore, we