Database System Concepts
Database System Concepts
7th Edition
ISBN: 9780078022159
Author: Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher: McGraw-Hill Education
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Strongly Connected Components
A directed graph in which a path exists between all its pairs of vertices is called a strongly connected graph. A portion of the strongly connected directed graph that contains a path to reach from each vertex to other vertices is called a strongly conne…
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**Graph Description and Analysis** The diagram presented is a graph consisting of six vertices labeled A, B, C, D, E, and F. The vertices are connected by edges as follows: - Vertex A is connected to vertices B, C, and F. - Vertex B is connected to vertices A and C. - Vertex C is connected to vertices A, B, D, and F. - Vertex D is connected to vertices C and E. - Vertex E is connected to vertices D and F. - Vertex F is connected to vertices A, C, and E. **Question** The question posed is: "This graph has an Eulerian tour or cycle." **Options** - ○ True - ○ False **Explanation** For a graph to have an Eulerian cycle, all vertices must have an even degree (number of edges connected to the vertex). Carefully examine each vertex to determine if the graph meets this criterion.
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Transcribed Image Text:**Graph Description and Analysis** The diagram presented is a graph consisting of six vertices labeled A, B, C, D, E, and F. The vertices are connected by edges as follows: - Vertex A is connected to vertices B, C, and F. - Vertex B is connected to vertices A and C. - Vertex C is connected to vertices A, B, D, and F. - Vertex D is connected to vertices C and E. - Vertex E is connected to vertices D and F. - Vertex F is connected to vertices A, C, and E. **Question** The question posed is: "This graph has an Eulerian tour or cycle." **Options** - ○ True - ○ False **Explanation** For a graph to have an Eulerian cycle, all vertices must have an even degree (number of edges connected to the vertex). Carefully examine each vertex to determine if the graph meets this criterion.
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