Consider the following graph: A B E D How many vertices are there? How many edges are there? What is the degree of vertex E? What is the total degree?
Consider the following graph: A B E D How many vertices are there? How many edges are there? What is the degree of vertex E? What is the total degree?
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 Analysis Exercise**
*Consider the following graph:*
The graph depicted shows five vertices labeled A, B, C, D, and E. These vertices are not connected by any edges, indicating it is likely an isolated vertex or a set of isolated points with no connections between them.
**Questions:**
1. *How many vertices are there?*
[Input box for answer]
2. *How many edges are there?*
[Input box for answer]
3. *What is the degree of vertex E?*
[Input box for answer]
4. *What is the total degree?*
[Input box for answer]
**Explanation:**
- *Vertices* are points in a graph. There are five labeled vertices: A, B, C, D, and E.
- *Edges* connect pairs of vertices. In this graph, it appears there are no visible connections (edges).
- The *degree of a vertex* is the number of edges connected to it. Since no edges are visible, each vertex, including vertex E, has a degree of zero.
- The *total degree* is the sum of the degrees of all vertices. Given the current layout with no visible edges, the total degree is expected to be zero.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcc2e02f5-ed43-48ba-8577-f130ad68cab1%2F4aaf38c8-6d9a-4c22-be72-92f57d3da730%2F46t7elf_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Graph Analysis Exercise**
*Consider the following graph:*
The graph depicted shows five vertices labeled A, B, C, D, and E. These vertices are not connected by any edges, indicating it is likely an isolated vertex or a set of isolated points with no connections between them.
**Questions:**
1. *How many vertices are there?*
[Input box for answer]
2. *How many edges are there?*
[Input box for answer]
3. *What is the degree of vertex E?*
[Input box for answer]
4. *What is the total degree?*
[Input box for answer]
**Explanation:**
- *Vertices* are points in a graph. There are five labeled vertices: A, B, C, D, and E.
- *Edges* connect pairs of vertices. In this graph, it appears there are no visible connections (edges).
- The *degree of a vertex* is the number of edges connected to it. Since no edges are visible, each vertex, including vertex E, has a degree of zero.
- The *total degree* is the sum of the degrees of all vertices. Given the current layout with no visible edges, the total degree is expected to be zero.
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