Definition 2: The height difference of any one node in the tree or subtree is not greater than 1, so that the tree is a balanced tree
This results in a balanced tree
construction, in which none of the nodes are overburdened.
A more balanced tree
will reduce the expected travel cost, but how can the structure be rebalanced without losing clustering information?
If the tree is not a leaner, it may be possible to use the felling cuts to bring it down where you want it--but don't bet the farm on it; if you cut wood long enough, eventually an apparently straight, well balanced tree
will surprise you.
Next, we give a method that allows obtaining a partially balanced tree
in weight P of FO formula [phi].
Given an unbalanced tree T, we construct a balanced tree
T' from T.
I ranges from zero for a perfectly balanced tree
to one for a perfectly imbalanced tree [ILLUSTRATION FOR FIGURE 1 OMITTED].
algorithms rearrange the tree as operations are performed to maintain certain balance conditions and assure good performance.
Because there is more than one way to make the same balanced tree
, the Markov model predicts a relatively high proportion of balanced trees
The global strategies produce either a perfectly balanced tree
[2, 3, 9] or a route balanced tree
[4, 11] (i.
One can guarantee an O(log n) worst-case retrieval time by using a balanced tree
While he did not propose R as a measure of shape, it has the property that a completely pectinate tree has the smallest possible value (= 1) while the most balanced tree
receives the largest possible value (equal to the number of tree topologies possible for that value of n).