transitive closure
The transitive closure R* of a relation R is defined by
x R y => x R* y
x R y and y R* z => x R* z
I.e. elements are related by R* if they are related by R directly or
through some sequence of intermediate related
elements.
E.g. in graph theory, if R is the relation on nodes "has an edge leading to"
then the transitive closure of R is the relation "has a path of zero or more
edges to". See also Reflexive transitive closure.
Nearby terms:
TRANSIT « transition ad « transitive « transitive
closure
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Transmission Control Protocol
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