tailieunhanh - Data Structures and Algorithms - Chapter 12: Multiway trees

A tree is any set of points and any set of pairs distinct vertices such that there is a sequence of edges from any vertex to any other, and there are no circuits, that is, no paths starting from a vertex and returning to the same vertex. | Chapter 12 Lexicographic Search Trees Tries Multiway Trees B-Tree B -Tree B -Tree Red-Black Trees BST and B-Tree 2-d Tree k-d Tree 1 Basic Concepts Definitions A free tree is any set of points called vertices and any set of pairs of distinct vertices called edges or branches such that 1 there is a sequence of edges a path from any vertex to any other and 2 there are no circuits that is no paths starting from a vertex and returning to the same vertex. A rooted tree is a tree in which one vertex called the root is distinguished. 2 Basic Concepts An ordered tree is a rooted tree in which the children of each vertex are assigned an order. A forest is a set of trees. We usually assume that all trees in a forest are rooted. An orchard also called an ordered forest is an ordered set of ordered trees.

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