An Euler tour of a graph is a path that traverses each edge exacty once. In the context of a tree, we say that each edge is bidirectional, so the Euler tour is the path along the tree that begins at the root and ends at the root, traversing each edge exactly twice - once to enter the subtree at the other endpoint and X once to leave iit You can think of an Euler tour as just being a depth first traversal where we return to the root at the end. In other words, Euler tour traversal of a tree is defined as a way of traversing tree such that each node is added to the tour when we visit it (either moving down from parent or returning from child). See the following example. 18 13 12 3 11 14 15 16 17 7

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
icon
Related questions
Question
100%

Solve the problem in the image below:

 

A An Euler tour of a graph is a path that traverses each edge exactly once. In the context of a tree, we say that each edge is bidirectional, so the Euler tour is the path along the tree that begins at the root and ends at the root, traversing each edge exactly twice – once to enter the subtree at the other endpoint and
% once to leave it. You can think of an Euler tour as just beinga depth first traversal where we return to the root at the end. In other words, Euler tour traversal of a tree is defined as a way of traversing tree such that each node is added to the tour when we visit it (either moving down from parent or returning from
child). See the following example.
1
18
13
12
2
3
17
15
6
10
4
3
8
(10)
Euler tour:
1
2|4
8 4 | 9
4 |10| 4 | 2 | 5 | 2| 1
36 3
7
3| 1
Add missing code for the following helper method eulerTour(TNode node, ArrayList <TNode> nodeOrder) that starts the Euler tour traversal at TNode node
public ArrayList <TNode> eulerTour() {
ArrayList <TNode> answer = new ArrayList<>);
eulerTour(root((), answer);
return answer;
}
public void eulerTour(TNode node, ArrayList <TNode> nodeOrder) {
if (node == null) return;
nodeOrder.add(node);
I/ Add missing code
}
Transcribed Image Text:A An Euler tour of a graph is a path that traverses each edge exactly once. In the context of a tree, we say that each edge is bidirectional, so the Euler tour is the path along the tree that begins at the root and ends at the root, traversing each edge exactly twice – once to enter the subtree at the other endpoint and % once to leave it. You can think of an Euler tour as just beinga depth first traversal where we return to the root at the end. In other words, Euler tour traversal of a tree is defined as a way of traversing tree such that each node is added to the tour when we visit it (either moving down from parent or returning from child). See the following example. 1 18 13 12 2 3 17 15 6 10 4 3 8 (10) Euler tour: 1 2|4 8 4 | 9 4 |10| 4 | 2 | 5 | 2| 1 36 3 7 3| 1 Add missing code for the following helper method eulerTour(TNode node, ArrayList <TNode> nodeOrder) that starts the Euler tour traversal at TNode node public ArrayList <TNode> eulerTour() { ArrayList <TNode> answer = new ArrayList<>); eulerTour(root((), answer); return answer; } public void eulerTour(TNode node, ArrayList <TNode> nodeOrder) { if (node == null) return; nodeOrder.add(node); I/ Add missing code }
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 3 images

Blurred answer
Knowledge Booster
Processes of 3D Graphics
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Database System Concepts
Database System Concepts
Computer Science
ISBN:
9780078022159
Author:
Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:
McGraw-Hill Education
Starting Out with Python (4th Edition)
Starting Out with Python (4th Edition)
Computer Science
ISBN:
9780134444321
Author:
Tony Gaddis
Publisher:
PEARSON
Digital Fundamentals (11th Edition)
Digital Fundamentals (11th Edition)
Computer Science
ISBN:
9780132737968
Author:
Thomas L. Floyd
Publisher:
PEARSON
C How to Program (8th Edition)
C How to Program (8th Edition)
Computer Science
ISBN:
9780133976892
Author:
Paul J. Deitel, Harvey Deitel
Publisher:
PEARSON
Database Systems: Design, Implementation, & Manag…
Database Systems: Design, Implementation, & Manag…
Computer Science
ISBN:
9781337627900
Author:
Carlos Coronel, Steven Morris
Publisher:
Cengage Learning
Programmable Logic Controllers
Programmable Logic Controllers
Computer Science
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education