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Graph G is defined by the arrow diagram below. 1 3. 4 What is the out-degree of vertex 2? 2.

Graph G is defined by the arrow diagram below. 1 3. 4 What is the out-degree of vertex 2? 2.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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**Graph G Description** Graph G is defined by the arrow diagram below. The diagram consists of four vertices labeled 1, 2, 3, and 4, connected by directed edges (arrows). - Vertex 1 has outgoing edges to vertices 2, 3, and 4. - Vertex 2 has outgoing edges to vertices 1 (a loop back to itself), 3, and 4. - Vertex 3 has an outgoing edge to vertex 4. - Vertex 4 has outgoing edges to vertices 1 and 3. **Question** What is the out-degree of vertex 2? **Choices** - ○ 3 - ○ 1 - ○ 4 - ○ 2 **Analysis** The out-degree of a vertex in a directed graph is the number of edges leaving that vertex. For vertex 2, there are three outgoing edges: one to vertex 1, one to vertex 3, and one to itself (loop). **Correct Answer** - ○ 3
Transcribed Image Text:**Graph G Description** Graph G is defined by the arrow diagram below. The diagram consists of four vertices labeled 1, 2, 3, and 4, connected by directed edges (arrows). - Vertex 1 has outgoing edges to vertices 2, 3, and 4. - Vertex 2 has outgoing edges to vertices 1 (a loop back to itself), 3, and 4. - Vertex 3 has an outgoing edge to vertex 4. - Vertex 4 has outgoing edges to vertices 1 and 3. **Question** What is the out-degree of vertex 2? **Choices** - ○ 3 - ○ 1 - ○ 4 - ○ 2 **Analysis** The out-degree of a vertex in a directed graph is the number of edges leaving that vertex. For vertex 2, there are three outgoing edges: one to vertex 1, one to vertex 3, and one to itself (loop). **Correct Answer** - ○ 3
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