Search results
Results from the WOW.Com Content Network
The depth of a node is the length of the path to its root (i.e., its root path). Thus the root node has depth zero, leaf nodes have height zero, and a tree with only a single node (hence both a root and leaf) has depth and height zero. Conventionally, an empty tree (tree with no nodes, if such are allowed) has height −1.
To traverse arbitrary trees (not necessarily binary trees) with depth-first search, perform the following operations at each node: If the current node is empty then return. Visit the current node for pre-order traversal. For each i from 1 to the current node's number of subtrees − 1, or from the latter to the former for reverse traversal, do:
A labeled binary tree of size 9 (the number of nodes in the tree) and height 3 (the height of a tree defined as the number of edges or links from the top-most or root node to the farthest leaf node), with a root node whose value is 1.
The operations we are interested in are FindRoot(Node v), Cut(Node v), Link(Node v, Node w), and Path(Node v). Every operation is implemented using the Access(Node v) subroutine. When we access a vertex v, the preferred path of the represented tree is changed to a path from the root R of the represented tree to the node v.
by just moving to the first node of the ET tree (since nodes in the ET tree are keyed by their location in the Euler tour, and the root is the first and last node in the tour). When the represented forest is updated (e.g. by connecting two trees to a single tree or by splitting a tree to two trees), the corresponding Euler-tour structure can be ...
The root node's number of children has the same upper limit as internal nodes, but has no lower limit. For example, when there are fewer than L−1 elements in the entire tree, the root will be the only node in the tree with no children at all. Leaf nodes In Knuth's terminology, the "leaf" nodes are the actual data objects / chunks.
The remaining node is the root node; the tree has now been generated. Once the Huffman tree has been generated, it is traversed to generate a dictionary which maps the symbols to binary codes as follows: Start with current node set to the root. If node is not a leaf node, label the edge to the left child as 0 and the edge to the right child as 1.
This makes tree rotations useful for rebalancing a tree. Consider the terminology of Root for the parent node of the subtrees to rotate, Pivot for the node which will become the new parent node, RS for the side of rotation and OS for the opposite side of rotation. For the root Q in the diagram above, RS is C and OS is P. Using these terms, the ...