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  2. Tree (abstract data type) - Wikipedia

    en.wikipedia.org/wiki/Tree_(abstract_data_type)

    The height of the root is the height of the tree. 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 ...

  3. Tree (graph theory) - Wikipedia

    en.wikipedia.org/wiki/Tree_(graph_theory)

    The root has depth zero, leaves have height zero, and a tree with only a single vertex (hence both a root and leaf) has depth and height zero. Conventionally, an empty tree (a tree with no vertices, if such are allowed) has depth and height −1. A k-ary tree (for nonnegative integers k) is a rooted tree in which each vertex has at most k children.

  4. Leaf power - Wikipedia

    en.wikipedia.org/wiki/Leaf_power

    A tree (top) and its corresponding 3-leaf power (bottom) In the mathematical area of graph theory, a k-leaf power of a tree T is a graph G whose vertices are the leaves of T and whose edges connect pairs of leaves whose distance in T is at most k. That is, G is an induced subgraph of the graph power ⁠ ⁠, induced by the leaves of T.

  5. Longest path problem - Wikipedia

    en.wikipedia.org/wiki/Longest_path_problem

    Use the sequence of root-to-leaf paths of the depth-first search tree, in the order in which they were traversed by the search, to construct a path decomposition of the graph, with pathwidth . Apply dynamic programming to this path decomposition to find a longest path in time O ( d ! 2 d n ) {\displaystyle O(d!2^{d}n)} , where n {\displaystyle ...

  6. Blue's Clues Kindergarten - Wikipedia

    en.wikipedia.org/wiki/Blue's_Clues_Kindergarten

    Blue's Clues Kindergarten is a Windows and Macintosh PC video game distributed on CD-ROM. [2] Based on the television series Blue's Clues , kids can learn different skills that will help them get ready for grade school.

  7. Unrooted binary tree - Wikipedia

    en.wikipedia.org/wiki/Unrooted_binary_tree

    The leaf-to-leaf path-length on a fixed Unrooted Binary Tree (UBT) T encodes the number of edges belonging to the unique path in T connecting a given leaf to another leaf. For example, by referring to the UBT shown in the image on the right, the path-length p 1 , 2 {\displaystyle p_{1,2}} between the leaves 1 and 2 is equal to 2 whereas the ...

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