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A B+ tree is an m-ary tree with a variable but often large number of children per node. A B+ tree consists of a root, internal nodes and leaves. [ 1 ] The root may be either a leaf or a node with two or more children.
In the B+ tree, the internal nodes do not store any pointers to records, thus all pointers to records are stored in the leaf nodes. In addition, a leaf node may include a pointer to the next leaf node to speed up sequential access. [2] Because B+ tree internal nodes have fewer pointers, each node can hold more keys, causing the tree to be ...
For a given node, its number of children. A leaf, by definition, has degree zero. Degree of tree The degree of a tree is the maximum degree of a node in the tree. Distance The number of edges along the shortest path between two nodes. Level The level of a node is the number of edges along the unique path between it and the root node. [4]
The diagram contains a major mistake: in a B+ tree, right subtrees have keys greater than or equal to those in parent node. The root node must therefore be corrected to 4 - 6 , and the issue is dealt with.
An example of a m-ary tree with m=5. In graph theory, an m-ary tree (for nonnegative integers m) (also known as n-ary, k-ary or k-way tree) is an arborescence (or, for some authors, an ordered tree) [1] [2] in which each node has no more than m children. A binary tree is an important case where m = 2; similarly, a ternary tree is one where m = 3.
The above definition 1 is not valid for a B-tree in this strict sense, but for another specialization of an (a,b)-tree. The values U = L * 3/2 for B*-trees do not comply to this definition of a B-tree or an (a,b)-tree. Therefore a B*-tree is not a specialization of a B-tree, but a different though related datastructure.
A full binary tree (sometimes referred to as a proper, [15] plane, or strict binary tree) [16] [17] is a tree in which every node has either 0 or 2 children. Another way of defining a full binary tree is a recursive definition. A full binary tree is either: [11] A single vertex (a single node as the root node).
A tree structure, tree diagram, or tree model is a way of representing the hierarchical nature of a structure in a graphical form. It is named a "tree structure" because the classic representation resembles a tree, although the chart is generally upside down compared to a biological tree, with the "stem" at the top and the "leaves" at the bottom.