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B+ tree in Python, used to implement a list; Dr. Monge's B+ Tree index notes; Evaluating the performance of CSB+-trees on Mutithreaded Architectures; Effect of node size on the performance of cache conscious B+-trees; Fractal Prefetching B+-trees; Towards pB+-trees in the field: implementations Choices and performance
Trees can be used to represent and manipulate various mathematical structures, such as: Paths through an arbitrary node-and-edge graph (including multigraphs), by making multiple nodes in the tree for each graph node used in multiple paths; Any mathematical hierarchy; Tree structures are often used for mapping the relationships between things ...
Patricia trees are a particular implementation of the compressed binary trie that uses the binary encoding of the string keys in its representation. [ 23 ] [ 15 ] : 140 Every node in a Patricia tree contains an index, known as a "skip number", that stores the node's branching index to avoid empty subtrees during traversal.
To turn a regular search tree into an order statistic tree, the nodes of the tree need to store one additional value, which is the size of the subtree rooted at that node (i.e., the number of nodes below it). All operations that modify the tree must adjust this information to preserve the invariant that size[x] = size[left[x]] + size[right[x]] + 1
A BK-tree is a metric tree suggested by Walter Austin Burkhard and Robert M. Keller specifically adapted to discrete metric spaces. For simplicity, consider integer discrete metric (,). Then, BK-tree is defined in the following way. An arbitrary element a is selected as root node. The root node may have zero or more subtrees.
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 ...
CGAL : Computational Geometry Algorithms Library in C++ contains a robust implementation of Range Trees; Boost.Icl offers C++ implementations of interval sets and maps. IntervalTree (Python) - a centered interval tree with AVL balancing, compatible with tagged intervals; Interval Tree (C#) - an augmented interval tree, with AVL balancing
SciPy, a Python library for scientific computing, contains implementations of k-d tree based nearest neighbor lookup algorithms. scikit-learn , a Python library for machine learning, contains implementations of k -d trees to back nearest neighbor and radius neighbors searches.