Definitions For Rooted Trees
- A directed edge refers to the link from the parent to the child (the arrows in the picture of the tree).
- The root node of a tree is the node with no parents. There is at most one root node in a rooted tree.
- A leaf node has no children.
- The depth of a node n is the length of the path from the root to the node. The set of all nodes at a given depth is sometimes called a level of the tree. The root node is at depth zero.
- The depth (or height) of a tree is the length of the path from the root to the deepest node in the tree. A (rooted) tree with only one node (the root) has a depth of zero.
- Siblings are nodes that share the same parent node.
- A node p is an ancestor of a node q if it exists on the path from the root to node q. The node q is then termed as a descendant of p.
- The size of a node is the number of descendants it has including itself.
- In-degree of a node is the number of edges arriving at that node.
- Out-degree of a node is the number of edges leaving that node.
- The root is the only node in the tree with In-degree = 0.
- All the leaf nodes have Out-degree = 0.
Read more about this topic: Binary Tree
Famous quotes containing the words definitions for, definitions, rooted and/or trees:
“The loosening, for some people, of rigid role definitions for men and women has shown that dads can be great at calming babies—if they take the time and make the effort to learn how. It’s that time and effort that not only teaches the dad how to calm the babies, but also turns him into a parent, just as the time and effort the mother puts into the babies turns her into a parent.”
—Pamela Patrick Novotny (20th century)
“The loosening, for some people, of rigid role definitions for men and women has shown that dads can be great at calming babies—if they take the time and make the effort to learn how. It’s that time and effort that not only teaches the dad how to calm the babies, but also turns him into a parent, just as the time and effort the mother puts into the babies turns her into a parent.”
—Pamela Patrick Novotny (20th century)
“The sight of a Black nun strikes their sentimentality; and, as I am unalterably rooted in native ground, they consider me a work of primitive art, housed in a magical color; the incarnation of civilized, anti-heathenism, and the fruit of a triumphing idea.”
—Alice Walker (b. 1944)
“Bright yellow, red, and orange,
The leaves come down in hosts;
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But soon they’ll turn to ghosts;”
—William Allingham (1824–1889)