Is a rooted tree wherein every internal vertex has no more than m children.Them-ary treebinary treeundirected treedirected treeNone from the choicesleafnodevertexheightlevelNone from the choicesA vertex of a tree is called a.subtreeof a rooted tree is the maximum of the levels of vertices. *internal verticesleaflevelheightNone from the choicesif it has no children. *

1. A binary tree is an ordered rooted tree where each internal vertex has at most two children. So,…

Is a rooted tree wherein every internal vertex has no more than m children. * The m-ary tree binary tree undirected tree directed tree None from the choices leaf node vertex of a rooted tree is the maximum of the levels of vertices. * height level None from the choices A vertex of a tree is called a ________ if it has no children. * subtree internal vertices leaf level height None from the choices

Is a rooted tree wherein every internal vertex has no more than m children. * The m-ary tree binary tree undirected tree directed tree None from the choices leaf node vertex of a rooted tree is the maximum of the levels of vertices. * height level None from the choices A vertex of a tree is called a ________ if it has no children. * subtree internal vertices leaf level height None from the choices

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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A mathematician applies Prim’s Algorithm to find a minimum spanning tree for the weighted graph starting at vertex D. The order of the edges picked so far is AD, AB, BE, and EF. The next edge selected when applying Prim’s Algorithm should be BF FG CG CE What is the total weight of the tree that uses the edges DE, CE, CG, FG and BF? 93 92 91 90 The tree described in problem #8 is a spanning True False
A complete binary tree is a graph defined through the following recur- sive definition. Basis step: A single vertex is a complete binary tree.Inductive step: If T1 and T2 are disjoint complete binary trees with roots r1, r2, respectively, the graph formed by starting with a root r, and adding an edge from r to each of the vertices r1,r2 is also a complete binary tree.The set of leaves of a complete binary tree can also be defined recursively.Basis step: The root r is a leaf of the complete binary tree with exactly one vertex r.Inductive step: The set of leaves of the tree T built from trees T1, T2 is the union of the sets of leaves of T1 and the set of leaves of T2. The height h(T ) of a binary tree is defined in the class.Use structural induction to show that L(T), the number of leaves of a complete binary tree T , satisfies the following inequality L(T) ≤ 2^h(T).
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A complete binary tree is a graph defined through the following recursive definition. Basis step: A single vertex is a complete binary tree. Inductive step: If T1 and T2 are disjoint complete binary trees with roots r1, r2, respectively, the the graph formed by starting with a root r, and adding an edge from r to each of the vertices r1, r2 is also a complete binary tree. The set of leaves of a complete binary tree can also be defined recursively. Basis step: The root r is a leaf of the complete binary tree with exactly one vertex r. Inductive step: The set of leaves of the tree T built from trees T1, T2 is the union of the sets of leaves of T1 and the set of leaves of T2. The height h(T) of a binary tree is defined in the class. Use structural induction to show that `(T), the number of leaves of a complete binary tree T, satisfies the following inequality `(T) ≤ 2 h(T) .
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