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English: Diagram showing the case in which there are three unbalanced phases, and the necessary symmetrical components that will create the resulting three-phase system. Date 27 November 2013
Then based on this generic tree, we can further come up with some special cases: (1) balanced binary tree; (2) linked list. [7] A balanced binary tree has exactly two branches for each vertex except for leaves. This gives a O(log n) bound on the depth of the tree. [8] A linked list is also a tree where every vertex has only one child.
A tree whose root node has two subtrees, both of which are full binary trees. A perfect binary tree is a binary tree in which all interior nodes have two children and all leaves have the same depth or same level (the level of a node defined as the number of edges or links from the root node to a node). [18] A perfect binary tree is a full ...
An AA tree in computer science is a form of balanced tree used for storing and retrieving ordered data efficiently. AA trees are named after their originator, Swedish computer scientist Arne Andersson .
The height-biased leftist tree was invented by Clark Allan Crane. [2] The name comes from the fact that the left subtree is usually taller than the right subtree. A leftist tree is a mergeable heap. When inserting a new node into a tree, a new one-node tree is created and merged into the existing tree.
In the depicted unbalanced and balanced trees, the balancing of the leftmost 3-element subtree doesn't appear to be able to be done by tree rotations as they are defined on the tree rotations page. When the 9 is rotated out and the 14 in, the twelve will switch to the opposite side, maintaining the imbalance.
Henzinger and King [2] suggest to represent a given tree by keeping its Euler tour in a balanced binary search tree, keyed by the index in the tour. So for example, the unbalanced tree in the example above, having 7 nodes, will be represented by a balanced binary tree with 14 nodes, one for each time each node appears on the tour.
For a given tree in a graph, the complementary set of branches (i.e., the branches not in the tree) form a tree in the dual graph. The set of current loop equations associated with the tie sets of the original graph and tree is identical to the set of voltage node-pair equations associated with the cut sets of the dual graph. [40]