A sensitive transitive closure algorithm
✍ Scribed by Jürgen Ebert
- Book ID
- 113162305
- Publisher
- Elsevier Science
- Year
- 1981
- Tongue
- English
- Weight
- 451 KB
- Volume
- 12
- Category
- Article
- ISSN
- 0020-0190
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📜 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 σ (n) denote the number of all strongly connected graphs on the n-element set. We prove that σ (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