a. Root node: Root node means highest node in the tree structure, and has no parent. According to the Figure 8.3, the root node is “/user/rt/courses/”, because it is the highest node in the tree structure.

Question

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Answer 1

Expert Solution & Answer

Chapter 8, Problem 1R

Explanation of Solution

a.

Root node:

Root node means highest node in the tree structure, and has no parent.

According to the Figure 8.3, the root node is “/user/rt/courses/”, because it is the highest node in the tree structure.

Explanation of Solution

b.

Internal node:

Internal node means any node of a tree which has child nodes. It is lso known as an inner node, or branch node.

According to the Figure 8.3, the internal nodes are “/user/rt/courses/”, “cs016/”, “cs252/”, “homeworks/”, “programs/”, “projects/”, “papers/”, and “demos/” because, they are the internal nodes in the given Tree.

Explanation of Solution

c.

Descendant node:

Descendant node of a node is any node in the path from that node to the leaf node. The immediate descendant of a node is the “child” node.

According to the Figure 8.3, the descendant node of “cs016/” contains are “grades”, “homeworks/”, “programs/”, “hw1”, “hw2”, “hw3”, “pr1”, “pr2”, and “pr3”.

Therefore, the total number of descendant node of “cs016/” contains 9.

Explanation of Solution

d.

Ancestor node:

An ancestor node of a node is any node in the path from that node to the root node. The immediate ancestor of a node is the “parent” node.

According to the Figure 8.3, the ancestor node of “cs016/” is “/user/rt/courses/”.

Therefore, the total number of ancestor node of “cs016/” contains 1.

Explanation of Solution

e.

Siblings of node:

Sibling of nodes is nodes on the same hierarchical level under the same parent node.

According to the Figure 8.3, the siblings of node “homeworks/” are “grades/” and “programs/”.

Explanation of Solution

f.

Subtree:

Subtree of the node is defined as a tree which is a child of a node.

According to the Figure 8.3, the subtree rooted at node “projects/” are “papers/”, and “demos/”.

Explanation of Solution

g.

Depth of node:

The depth of a node is the number of edges from the node to the tree’s root node.

According to the Figure 8.3, the depth of node “papers/” are 2 they are “buylow” and “sellhigh”.

Explanation of Solution

h.

Height of a tree:

The height of a node is the number of edges on the longest path from the node to the leaf.

According to the Figure 8.3, the height of a tree is 4.

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Students have asked these similar questions

Answer the following questions about treeB. a. What is the height of the tree? b. Which nodes are on level 3? c. Which levels have the maximum number of nodes that they could contain? d. What is the maximum height of a binary search tree containing these nodes? Draw such a tree. e. What is the minimum height of a binary search tree containing these nodes? Draw such a tree. f. What is the order in which the nodes are visited by an ignorer traversal? g. What is the order in which the nodes are visited by a preorder traversal? h. What is the order in which the nodes are visited by a postorder traversal?

Given the following tree, answer the following questions. Write the sequence of nodes visited using inorder traversal. Write the sequence of nodes visited using preorder traversal. What are the ancestor nodes of the node with key I? A В E F G H

(a) Give ranks to each of the nodes below: (b) What is the type of the above tree?

Answer 2

Expert Solution & Answer

Chapter 8, Problem 1R

Explanation of Solution

a.

Root node:

Root node means highest node in the tree structure, and has no parent.

According to the Figure 8.3, the root node is “/user/rt/courses/”, because it is the highest node in the tree structure.

Explanation of Solution

b.

Internal node:

Internal node means any node of a tree which has child nodes. It is lso known as an inner node, or branch node.

According to the Figure 8.3, the internal nodes are “/user/rt/courses/”, “cs016/”, “cs252/”, “homeworks/”, “programs/”, “projects/”, “papers/”, and “demos/” because, they are the internal nodes in the given Tree.

Explanation of Solution

c.

Descendant node:

Descendant node of a node is any node in the path from that node to the leaf node. The immediate descendant of a node is the “child” node.

According to the Figure 8.3, the descendant node of “cs016/” contains are “grades”, “homeworks/”, “programs/”, “hw1”, “hw2”, “hw3”, “pr1”, “pr2”, and “pr3”.

Therefore, the total number of descendant node of “cs016/” contains 9.

Explanation of Solution

d.

Ancestor node:

An ancestor node of a node is any node in the path from that node to the root node. The immediate ancestor of a node is the “parent” node.

According to the Figure 8.3, the ancestor node of “cs016/” is “/user/rt/courses/”.

Therefore, the total number of ancestor node of “cs016/” contains 1.

Explanation of Solution

e.

Siblings of node:

Sibling of nodes is nodes on the same hierarchical level under the same parent node.

According to the Figure 8.3, the siblings of node “homeworks/” are “grades/” and “programs/”.

Explanation of Solution

f.

Subtree:

Subtree of the node is defined as a tree which is a child of a node.

According to the Figure 8.3, the subtree rooted at node “projects/” are “papers/”, and “demos/”.

Explanation of Solution

g.

Depth of node:

The depth of a node is the number of edges from the node to the tree’s root node.

According to the Figure 8.3, the depth of node “papers/” are 2 they are “buylow” and “sellhigh”.

Explanation of Solution

h.

Height of a tree:

The height of a node is the number of edges on the longest path from the node to the leaf.

According to the Figure 8.3, the height of a tree is 4.

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Answer 3

Expert Solution & Answer

Chapter 8, Problem 1R

Explanation of Solution

a.

Root node:

Root node means highest node in the tree structure, and has no parent.

According to the Figure 8.3, the root node is “/user/rt/courses/”, because it is the highest node in the tree structure.

Explanation of Solution

b.

Internal node:

Internal node means any node of a tree which has child nodes. It is lso known as an inner node, or branch node.

According to the Figure 8.3, the internal nodes are “/user/rt/courses/”, “cs016/”, “cs252/”, “homeworks/”, “programs/”, “projects/”, “papers/”, and “demos/” because, they are the internal nodes in the given Tree.

Explanation of Solution

c.

Descendant node:

Descendant node of a node is any node in the path from that node to the leaf node. The immediate descendant of a node is the “child” node.

According to the Figure 8.3, the descendant node of “cs016/” contains are “grades”, “homeworks/”, “programs/”, “hw1”, “hw2”, “hw3”, “pr1”, “pr2”, and “pr3”.

Therefore, the total number of descendant node of “cs016/” contains 9.

Explanation of Solution

d.

Ancestor node:

An ancestor node of a node is any node in the path from that node to the root node. The immediate ancestor of a node is the “parent” node.

According to the Figure 8.3, the ancestor node of “cs016/” is “/user/rt/courses/”.

Therefore, the total number of ancestor node of “cs016/” contains 1.

Explanation of Solution

e.

Siblings of node:

Sibling of nodes is nodes on the same hierarchical level under the same parent node.

According to the Figure 8.3, the siblings of node “homeworks/” are “grades/” and “programs/”.

Explanation of Solution

f.

Subtree:

Subtree of the node is defined as a tree which is a child of a node.

According to the Figure 8.3, the subtree rooted at node “projects/” are “papers/”, and “demos/”.

Explanation of Solution

g.

Depth of node:

The depth of a node is the number of edges from the node to the tree’s root node.

According to the Figure 8.3, the depth of node “papers/” are 2 they are “buylow” and “sellhigh”.

Explanation of Solution

h.

Height of a tree:

The height of a node is the number of edges on the longest path from the node to the leaf.

According to the Figure 8.3, the height of a tree is 4.

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Answer 4

Expert Solution & Answer

Chapter 8, Problem 1R

Explanation of Solution

a.

Root node:

Root node means highest node in the tree structure, and has no parent.

According to the Figure 8.3, the root node is “/user/rt/courses/”, because it is the highest node in the tree structure.

Explanation of Solution

b.

Internal node:

Internal node means any node of a tree which has child nodes. It is lso known as an inner node, or branch node.

According to the Figure 8.3, the internal nodes are “/user/rt/courses/”, “cs016/”, “cs252/”, “homeworks/”, “programs/”, “projects/”, “papers/”, and “demos/” because, they are the internal nodes in the given Tree.

Explanation of Solution

c.

Descendant node:

Descendant node of a node is any node in the path from that node to the leaf node. The immediate descendant of a node is the “child” node.

According to the Figure 8.3, the descendant node of “cs016/” contains are “grades”, “homeworks/”, “programs/”, “hw1”, “hw2”, “hw3”, “pr1”, “pr2”, and “pr3”.

Therefore, the total number of descendant node of “cs016/” contains 9.

Explanation of Solution

d.

Ancestor node:

An ancestor node of a node is any node in the path from that node to the root node. The immediate ancestor of a node is the “parent” node.

According to the Figure 8.3, the ancestor node of “cs016/” is “/user/rt/courses/”.

Therefore, the total number of ancestor node of “cs016/” contains 1.

Explanation of Solution

e.

Siblings of node:

Sibling of nodes is nodes on the same hierarchical level under the same parent node.

According to the Figure 8.3, the siblings of node “homeworks/” are “grades/” and “programs/”.

Explanation of Solution

f.

Subtree:

Subtree of the node is defined as a tree which is a child of a node.

According to the Figure 8.3, the subtree rooted at node “projects/” are “papers/”, and “demos/”.

Explanation of Solution

g.

Depth of node:

The depth of a node is the number of edges from the node to the tree’s root node.

According to the Figure 8.3, the depth of node “papers/” are 2 they are “buylow” and “sellhigh”.

Explanation of Solution

h.

Height of a tree:

The height of a node is the number of edges on the longest path from the node to the leaf.

According to the Figure 8.3, the height of a tree is 4.

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Answer 5

Expert Solution & Answer

Answer 6

Expert Solution & Answer

Answer 7

Chapter 8, Problem 1R

Explanation of Solution

a.

Root node:

Root node means highest node in the tree structure, and has no parent.

According to the Figure 8.3, the root node is “/user/rt/courses/”, because it is the highest node in the tree structure.

Explanation of Solution

b.

Internal node:

Internal node means any node of a tree which has child nodes. It is lso known as an inner node, or branch node.

According to the Figure 8.3, the internal nodes are “/user/rt/courses/”, “cs016/”, “cs252/”, “homeworks/”, “programs/”, “projects/”, “papers/”, and “demos/” because, they are the internal nodes in the given Tree.

Explanation of Solution

c.

Descendant node:

Descendant node of a node is any node in the path from that node to the leaf node. The immediate descendant of a node is the “child” node.

According to the Figure 8.3, the descendant node of “cs016/” contains are “grades”, “homeworks/”, “programs/”, “hw1”, “hw2”, “hw3”, “pr1”, “pr2”, and “pr3”.

Therefore, the total number of descendant node of “cs016/” contains 9.

Explanation of Solution

d.

Ancestor node:

An ancestor node of a node is any node in the path from that node to the root node. The immediate ancestor of a node is the “parent” node.

According to the Figure 8.3, the ancestor node of “cs016/” is “/user/rt/courses/”.

Therefore, the total number of ancestor node of “cs016/” contains 1.

Explanation of Solution

e.

Siblings of node:

Sibling of nodes is nodes on the same hierarchical level under the same parent node.

According to the Figure 8.3, the siblings of node “homeworks/” are “grades/” and “programs/”.

Explanation of Solution

f.

Subtree:

Subtree of the node is defined as a tree which is a child of a node.

According to the Figure 8.3, the subtree rooted at node “projects/” are “papers/”, and “demos/”.

Explanation of Solution

g.

Depth of node:

The depth of a node is the number of edges from the node to the tree’s root node.

According to the Figure 8.3, the depth of node “papers/” are 2 they are “buylow” and “sellhigh”.

Explanation of Solution

h.

Height of a tree:

The height of a node is the number of edges on the longest path from the node to the leaf.

According to the Figure 8.3, the height of a tree is 4.

Answer 8

Chapter 8, Problem 1R

Explanation of Solution

a.

Root node:

Root node means highest node in the tree structure, and has no parent.

According to the Figure 8.3, the root node is “/user/rt/courses/”, because it is the highest node in the tree structure.

Answer 9

Chapter 8, Problem 1R

Explanation of Solution

a.

Root node:

Root node means highest node in the tree structure, and has no parent.

According to the Figure 8.3, the root node is “/user/rt/courses/”, because it is the highest node in the tree structure.

Answer 10

Explanation of Solution

b.

Internal node:

Internal node means any node of a tree which has child nodes. It is lso known as an inner node, or branch node.

According to the Figure 8.3, the internal nodes are “/user/rt/courses/”, “cs016/”, “cs252/”, “homeworks/”, “programs/”, “projects/”, “papers/”, and “demos/” because, they are the internal nodes in the given Tree.

Answer 11

Explanation of Solution

b.

Internal node:

Internal node means any node of a tree which has child nodes. It is lso known as an inner node, or branch node.

According to the Figure 8.3, the internal nodes are “/user/rt/courses/”, “cs016/”, “cs252/”, “homeworks/”, “programs/”, “projects/”, “papers/”, and “demos/” because, they are the internal nodes in the given Tree.

Answer 12

Explanation of Solution

c.

Descendant node:

Descendant node of a node is any node in the path from that node to the leaf node. The immediate descendant of a node is the “child” node.

According to the Figure 8.3, the descendant node of “cs016/” contains are “grades”, “homeworks/”, “programs/”, “hw1”, “hw2”, “hw3”, “pr1”, “pr2”, and “pr3”.

Therefore, the total number of descendant node of “cs016/” contains 9.

Answer 13

Explanation of Solution

c.

Descendant node:

Descendant node of a node is any node in the path from that node to the leaf node. The immediate descendant of a node is the “child” node.

According to the Figure 8.3, the descendant node of “cs016/” contains are “grades”, “homeworks/”, “programs/”, “hw1”, “hw2”, “hw3”, “pr1”, “pr2”, and “pr3”.

Therefore, the total number of descendant node of “cs016/” contains 9.

Answer 14

Explanation of Solution

d.

Ancestor node:

An ancestor node of a node is any node in the path from that node to the root node. The immediate ancestor of a node is the “parent” node.

According to the Figure 8.3, the ancestor node of “cs016/” is “/user/rt/courses/”.

Therefore, the total number of ancestor node of “cs016/” contains 1.

Answer 15

Explanation of Solution

d.

Ancestor node:

An ancestor node of a node is any node in the path from that node to the root node. The immediate ancestor of a node is the “parent” node.

According to the Figure 8.3, the ancestor node of “cs016/” is “/user/rt/courses/”.

Therefore, the total number of ancestor node of “cs016/” contains 1.

Answer 16

Explanation of Solution

e.

Siblings of node:

Sibling of nodes is nodes on the same hierarchical level under the same parent node.

According to the Figure 8.3, the siblings of node “homeworks/” are “grades/” and “programs/”.

Answer 17

Explanation of Solution

e.

Siblings of node:

Sibling of nodes is nodes on the same hierarchical level under the same parent node.

According to the Figure 8.3, the siblings of node “homeworks/” are “grades/” and “programs/”.

Answer 18

Explanation of Solution

f.

Subtree:

Subtree of the node is defined as a tree which is a child of a node.

According to the Figure 8.3, the subtree rooted at node “projects/” are “papers/”, and “demos/”.

Answer 19

Explanation of Solution

f.

Subtree:

Subtree of the node is defined as a tree which is a child of a node.

According to the Figure 8.3, the subtree rooted at node “projects/” are “papers/”, and “demos/”.

Answer 20

Explanation of Solution

g.

Depth of node:

The depth of a node is the number of edges from the node to the tree’s root node.

According to the Figure 8.3, the depth of node “papers/” are 2 they are “buylow” and “sellhigh”.

Answer 21

Explanation of Solution

g.

Depth of node:

The depth of a node is the number of edges from the node to the tree’s root node.

According to the Figure 8.3, the depth of node “papers/” are 2 they are “buylow” and “sellhigh”.

Answer 22

Explanation of Solution

h.

Height of a tree:

The height of a node is the number of edges on the longest path from the node to the leaf.

According to the Figure 8.3, the height of a tree is 4.

Answer 23

Explanation of Solution

h.

Height of a tree:

The height of a node is the number of edges on the longest path from the node to the leaf.

According to the Figure 8.3, the height of a tree is 4.

Answer 24

Ch. 8 - Prob. 1R Ch. 8 - Prob. 2R Ch. 8 - Prob. 55C

a. Root node: Root node means highest node in the tree structure, and has no parent. According to the Figure 8.3, the root node is “/user/rt/courses/”, because it is the highest node in the tree structure.

Explanation of Solution

a. Root node: Root node means highest node in the tree structure, and has no parent. According to the Figure 8.3, the root node is “/user/rt/courses/”, because it is the highest node in the tree structure.

Explanation of Solution

Explanation of Solution

Explanation of Solution

Explanation of Solution

e. Siblings of node: Sibling of nodes is nodes on the same hierarchical level under the same parent node. According to the Figure 8.3, the siblings of node “homeworks/” are “grades/” and “programs/”.

Explanation of Solution

f. Subtree: Subtree of the node is defined as a tree which is a child of a node. According to the Figure 8.3, the subtree rooted at node “projects/” are “papers/”, and “demos/”.

Explanation of Solution

g. Depth of node: The depth of a node is the number of edges from the node to the tree’s root node. According to the Figure 8.3, the depth of node “papers/” are 2 they are “buylow” and “sellhigh”.

Explanation of Solution

h. Height of a tree: The height of a node is the number of edges on the longest path from the node to the leaf. According to the Figure 8.3, the height of a tree is 4.

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Chapter 8 Solutions

a.

Root node:

Root node means highest node in the tree structure, and has no parent.

According to the Figure 8.3, the root node is “/user/rt/courses/”, because it is the highest node in the tree structure.

e.

Siblings of node:

Sibling of nodes is nodes on the same hierarchical level under the same parent node.

According to the Figure 8.3, the siblings of node “homeworks/” are “grades/” and “programs/”.

f.

Subtree:

Subtree of the node is defined as a tree which is a child of a node.

According to the Figure 8.3, the subtree rooted at node “projects/” are “papers/”, and “demos/”.

g.

Depth of node:

The depth of a node is the number of edges from the node to the tree’s root node.

According to the Figure 8.3, the depth of node “papers/” are 2 they are “buylow” and “sellhigh”.

h.

Height of a tree:

The height of a node is the number of edges on the longest path from the node to the leaf.

According to the Figure 8.3, the height of a tree is 4.