• An undirected graph G = (V, E) has Eulerian Tour if following two conditions are true: 1. All vertices with non-zero degree are connected. We don't care about vertices with zero degree because they don't belong to Eulerian Cycle or Path. 2. All vertices have even degree. • Write the Python code that finds an Euler Tour of given graph G (if one exists) following the Fleury's Algorithm: 1. Make sure the graph has either 0 or 2 odd vertices. 2. If there are 0 odd vertices, start anywhere. If there are 2 odd vertices, start at one of them. 3. Follow edges one at a time. If you have a choice between a bridge and a non-bridge, always choose the non-bridge. 4. Stop when you run out of edges. Input: Adjacency list representation of the graph G Output: The graph has an Euler Tour / The graph has no Euler Tour [] # test 1: Grap with Euler Tour g1= Graph (5) g1.addEdge(1, 0) gl.addEdge(0, 2) gl.addEdge (2, 1) g1.addEdge(0, 3) g1.addEdge (3, 4) gl.addEdge(4, 0) g1.Euler Tour() # test 2: Grap without Euler Tour g2 Graph (5) g2.addEdge(1, 0) g2.addEdge(0, 2) g2.addEdge (2, 1) g2.addEdge(0, 3) g2.addEdge (3, 4) g2.addEdge(1, 3) P2.EulerTour().
• An undirected graph G = (V, E) has Eulerian Tour if following two conditions are true: 1. All vertices with non-zero degree are connected. We don't care about vertices with zero degree because they don't belong to Eulerian Cycle or Path. 2. All vertices have even degree. • Write the Python code that finds an Euler Tour of given graph G (if one exists) following the Fleury's Algorithm: 1. Make sure the graph has either 0 or 2 odd vertices. 2. If there are 0 odd vertices, start anywhere. If there are 2 odd vertices, start at one of them. 3. Follow edges one at a time. If you have a choice between a bridge and a non-bridge, always choose the non-bridge. 4. Stop when you run out of edges. Input: Adjacency list representation of the graph G Output: The graph has an Euler Tour / The graph has no Euler Tour [] # test 1: Grap with Euler Tour g1= Graph (5) g1.addEdge(1, 0) gl.addEdge(0, 2) gl.addEdge (2, 1) g1.addEdge(0, 3) g1.addEdge (3, 4) gl.addEdge(4, 0) g1.Euler Tour() # test 2: Grap without Euler Tour g2 Graph (5) g2.addEdge(1, 0) g2.addEdge(0, 2) g2.addEdge (2, 1) g2.addEdge(0, 3) g2.addEdge (3, 4) g2.addEdge(1, 3) P2.EulerTour().
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
Related questions
Question
![• An undirected graph G = (V, E) has Eulerian Tour if following two conditions are true:
1. All vertices with non-zero degree are connected. We don't care about vertices with zero degree because they don't belong to Eulerian
Cycle or Path.
2. All vertices have even degree.
• Write the Python code that finds an Euler Tour of given graph G (if one exists) following the Fleury's Algorithm:
1. Make sure the graph has either 0 or 2 odd vertices.
2. If there are 0 odd vertices, start anywhere. If there are 2 odd vertices, start at one of them.
3. Follow edges one at a time. If you have a choice between a bridge and a non-bridge, always choose the non-bridge.
4. Stop when you run out of edges.
Input:
Adjacency list representation of the graph G
Output: The graph has an Euler Tour / The graph has no Euler Tour
[ ] # test 1: Grap with Euler Tour
g1 = Graph (5)
g1.addEdge(1, 0)
g1.addEdge(0, 2)
g1.addEdge (2, 1)
g1.addEdge(0, 3)
g1.addEdge (3, 4)
g1.addEdge(4, 0)
g1.Euler Tour()
# test 2: Grap without Euler Tour
g2 = Graph (5)
g2.addEdge(1, 0)
g2.addEdge(0, 2)
g2.addEdge (2, 1)
g2.addEdge(0, 3)
g2.addEdge (3, 4)
g2.addEdge (1, 3)
P2.EulerTour()](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Feca1595a-4ca3-4f52-9193-bc03289e9956%2F6229ecca-baad-4ecc-8be5-d7ffc18d5f5b%2F8hcggau_processed.jpeg&w=3840&q=75)
Transcribed Image Text:• An undirected graph G = (V, E) has Eulerian Tour if following two conditions are true:
1. All vertices with non-zero degree are connected. We don't care about vertices with zero degree because they don't belong to Eulerian
Cycle or Path.
2. All vertices have even degree.
• Write the Python code that finds an Euler Tour of given graph G (if one exists) following the Fleury's Algorithm:
1. Make sure the graph has either 0 or 2 odd vertices.
2. If there are 0 odd vertices, start anywhere. If there are 2 odd vertices, start at one of them.
3. Follow edges one at a time. If you have a choice between a bridge and a non-bridge, always choose the non-bridge.
4. Stop when you run out of edges.
Input:
Adjacency list representation of the graph G
Output: The graph has an Euler Tour / The graph has no Euler Tour
[ ] # test 1: Grap with Euler Tour
g1 = Graph (5)
g1.addEdge(1, 0)
g1.addEdge(0, 2)
g1.addEdge (2, 1)
g1.addEdge(0, 3)
g1.addEdge (3, 4)
g1.addEdge(4, 0)
g1.Euler Tour()
# test 2: Grap without Euler Tour
g2 = Graph (5)
g2.addEdge(1, 0)
g2.addEdge(0, 2)
g2.addEdge (2, 1)
g2.addEdge(0, 3)
g2.addEdge (3, 4)
g2.addEdge (1, 3)
P2.EulerTour()
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