transitive closure


Definition: An extension or superset of a binary relation such that whenever (a,b) and (b,c) are in the extension, (a,c) is also in the extension.

See also transitive reduction, transitive.

Author: SKS


Vreda Pieterse's explanation of binary relations and transitive closure with links to implementations (C++). Stony Brook's explanation and links to implementations (C++ and Mathematica).
Go to the Dictionary of Algorithms and Data Structures home page.

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Entry modified 25 February 2019.
HTML page formatted Wed Mar 13 12:42:46 2019.

Cite this as:
Sandeep Kumar Shukla, "transitive closure", in Dictionary of Algorithms and Data Structures [online], Paul E. Black, ed. 25 February 2019. (accessed TODAY) Available from: