• 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

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