Data Structures and Algorithms in Java
6th Edition
ISBN: 9781119278023
Author: Michael T. Goodrich; Roberto Tamassia; Michael H. Goldwasser
Publisher: Wiley Global Education US
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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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Chapter 8 Solutions
Data Structures and Algorithms in Java
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