transitive closure
"Transitive closure" is a fundamental concept in set theory and graph theory, crucial for understanding relationships and reachability within a set or graph.
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Definition
C1Set Theory
(technical, academic)The smallest set of pairs that includes all original pairs and ensures that if a pair (a, b) and (b, c) exist, then (a, c) also exists.
C1Graph Theory
(technical, academic)A graph that has a direct connection between two vertices if there is a path connecting them in the original graph.
Example
- In the transitive closure of the graph, there is a direct edge from vertex A to vertex C because there is a path from A to B and from B to C.
Similar
Terms that have similar or relatively close meanings to "transitive closure":