Here is an example of an ultrametric on a space with 5 points, labelled :
The ultrametric condition is equivalent to the ultrametric three point condition:
Ultrametrics can be used to model bifurcating hierarchical systems. The distance between nodes in a weight-balanced binary tree is an ultrametric. Similarly, an ultrametric can be modelled by a weight-balanced binary tree, although the choice of tree is not necessarily unique. Tree models of ultrametrics are sometimes called ultrametric trees.
|Date of creation||2013-03-22 13:28:28|
|Last modified on||2013-03-22 13:28:28|
|Last modified by||Koro (127)|