University:
University of California, San Diego
Course:
CSE 100/101 | Data Structures and Algorithms
Academic year:

2023
Views:

301

Pages:

2
Author:

anon

Overview of Syntax Trees, Hierarchy Trees, and Binary Search Trees for Understanding Trees A key data structure in both computer science and linguistics is the tree. Whether it be the structure of a sentence, the hierarchy of geography, or the structure of computer code, they are employed to reflect the hierarchical structure of data. The various forms of trees utilized in these domains, such as syntax trees, hierarchy trees, and binary search trees, will be discussed in this article. Grammar Trees To represent the structure of a sentence, syntax trees are utilized. They resemble the sentence diagrams you may have created in elementary school, but they are more thorough and indicate the sentence's structure in terms of its individual parts, such as noun and verb phrase combinations. Take the phrase "I ate the cake" as an example to show what I mean. A syntax tree for this sentence would reveal the following sentence structure: The letter S is located at the summit of the tree. A noun phrase and a verb phrase are the S node's children. The word "I" from the sentence is a noun phrase's offspring. A verb and noun phrase is the offspring of a verb phrase, with the verb being "ate" and the noun phrase being "the" and "cake." Syntax trees are used for both expressions and sentences. Take the expression "2sin(3z-7)" as an example. This expression's syntax tree would be broken down into its constituent parts, displaying the expression's structure and the potential evaluation orders. The calculation would go as follows, working its way up the tree: ● ● ● ● Do z first three times. then take 7 away from that. Put the sine on that outcome. and double that by 2 to finish. Tree hierarchies Trees can also represent a hierarchy, such as the order of the animal kingdom or the topography. Think about the hierarchy of geography, for instance. For this, a hierarchy tree might resemble the following: ● The world, at the top of the hierarchy, is located on the left side of the tree. ● Below that, numerous subcomponents of geography, such as states in the case of the United States and cities therein. ● Below that, entities in the world, such as the United States, United Kingdom, and so forth. The animal kingdom might be represented by a similar hierarchy tree, with creatures at the top, followed by numerous animal species, such as invertebrates, reptiles, mammals, and so on, and then distinct subcategories within each of these. Trees of Binary Search In computer science, code is represented by trees. For instance, an abstract syntax tree can be used to describe code. The binary search tree is a popular tree type in computer science. Each node in a binary search tree has a value, and all the nodes in the left subtree of a node have values that are less than the node's value, while all the nodes in the right subtree of a node have values that are more than the node's value. This structure is frequently used in computer algorithms because it makes search, insert, and delete operations efficient. Conclusion In computer science and linguistics, trees are a powerful data structure with a wide range of applications. Trees have established themselves as a crucial tool in a variety of fields, from reflecting the structure of phrases and expressions with syntax trees to reflecting hierarchy with hierarchy trees to allowing effective data operations with binary search trees.