NIST

topology tree

(definition)

Definition: Tree that describes a balanced decomposition of another tree, according to its topology. More precisely, given a restricted multilevel partition for a tree T, a topology tree satisfies the following: (1) A topology tree node at level l represents a vertex cluster at level l in the restricted multilevel partition, and (2) A node at level l ≥ 1 has at most two children, representing the vertex clusters at level l-1 whose union gives the vertex cluster the node represents.

Note: From Algorithms and Theory of Computation Handbook, page 8-11, Copyright © 1999 by CRC Press LLC. Appearing in the Dictionary of Computer Science, Engineering and Technology, Copyright © 2000 CRC Press LLC.

Author: CRC-A


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 26 May 2011.
HTML page formatted Wed Mar 13 12:42:46 2019.

Cite this as:
Algorithms and Theory of Computation Handbook, CRC Press LLC, 1999, "topology tree", in Dictionary of Algorithms and Data Structures [online], Paul E. Black, ed. 26 May 2011. (accessed TODAY) Available from: https://www.nist.gov/dads/HTML/topologytree.html