NIST

transitive

(definition)

Definition: A binary relation R for which a R b and b R c implies a R c.

See also reflexive, symmetric.

Note: The relation "less than" is transitive: if a < b and b < c, then a < c. The relation "is an ancestor of" is also transitive: if Reuben is an ancestor of Bill and Bill is an ancestor of Patrick, Reuben is an ancestor of Patrick. However "likes" is not transitive since someone I like may like someone that I don't like.

Author: PEB


Go to the Dictionary of Algorithms and Data Structures home page.

If you have suggestions, corrections, or comments, please get in touch with Paul Black.

Entry modified 17 December 2004.
HTML page formatted Fri Feb 23 10:06:08 2018.

Cite this as:
Paul E. Black, "transitive", in Dictionary of Algorithms and Data Structures [online], Vreda Pieterse and Paul E. Black, eds. 17 December 2004. (accessed TODAY) Available from: https://www.nist.gov/dads/HTML/transitive.html