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Applications of binary trees

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  • Binary Search Tree - Used in many search applications where data is constantly entering/leaving, such as the map and set objects in many languages' libraries.
  • Binary Space Partition - Used in almost every 3D video game to determine what objects need to be rendered.
  • Binary Tries - Used in almost every high-bandwidth router for storing router-tables.
  • Hash Trees - used in p2p programs and specialized image-signatures in which a hash needs to be verified, but the whole file is not available.
  • Heaps - Used in implementing efficient priority-queues, which in turn are used for scheduling processes in many operating systems, Quality-of-Service in routers, and A* (path-finding algorithm used in AI applications, including robotics and video games). Also used in heap-sort.
  • Huffman Coding Tree (Chip Uni) - used in compression algorithms, such as those used by the .jpeg and .mp3 file-formats.
  • GGM Trees - Used in cryptographic applications to generate a tree of pseudo-random numbers.
  • Syntax Tree - Constructed by compilers and (implicitly) calculators to parse expressions.
  • Treap - Randomized data structure used in wireless networking and memory allocation.
  • T-tree - Though most databases use some form of B-tree to store data on the drive, databases which keep all (most) their data in memory often use T-trees to do so.

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