a) Given graph A and graph B. Is there Eulerian path and why? A A B (C) B D Graph A Graph B b) Select True or False for the following sentences: 1. A Regular graph is a graph where each vertex has the same degree [Ture/False] 2. The degree of a graph is the summation of all nodes' degrees [Ture/False] 3. The degree of isolated vertex is 0 [Ture/False] 4. A Path is a walk where all edges are distinct [Ture/False] 5. A Simple Path is a walk where all vertices are distinct [Ture/False] 6. A Simple Cycle in a graph is a path whose first vertex is the same as the last one [Ture/False] 7. A tree is a connected graph with one cycle [Ture/False]

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
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Q4) Graphs
a) Given graph A and graph B. Is there Eulerian path and why?
Graph A
Graph B
b) Select True or False for the following sentences:
1. A Regular graph is a graph where each vertex has the same degree [Ture/False]
2. The degree of a graph is the summation of all nodes' degrees [Ture/False]
3. The degree of isolated vertex is 0 [Ture/False]
4. A Path is a walk where all edges are distinct [Ture/False]
5. A Simple Path is a walk where all vertices are distinct [Ture/False]
6. A Simple Cycle in a graph is a path whose first vertex is the same as the last one [Ture/False]
7. A tree is a connected graph with one cycle [Ture/False]
Transcribed Image Text:Q4) Graphs a) Given graph A and graph B. Is there Eulerian path and why? Graph A Graph B b) Select True or False for the following sentences: 1. A Regular graph is a graph where each vertex has the same degree [Ture/False] 2. The degree of a graph is the summation of all nodes' degrees [Ture/False] 3. The degree of isolated vertex is 0 [Ture/False] 4. A Path is a walk where all edges are distinct [Ture/False] 5. A Simple Path is a walk where all vertices are distinct [Ture/False] 6. A Simple Cycle in a graph is a path whose first vertex is the same as the last one [Ture/False] 7. A tree is a connected graph with one cycle [Ture/False]
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