Use the figure below to answer the following question(s). E Edge BD is adjacent to edge Select one: O a. all of these. b. CD. C. none of these. d. AD. e. BF.
Use the figure below to answer the following question(s). E Edge BD is adjacent to edge Select one: O a. all of these. b. CD. C. none of these. d. AD. e. BF.
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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Question
![### Using Graphs to Understand Edge Adjacency
#### Question:
**Use the figure below to answer the following question(s).**
**Edge BD is adjacent to edge:**
- Select one:
- a. all of these.
- b. CD.
- c. none of these.
- d. AD.
- e. BF.
#### Figure Explanation:
The figure represents an undirected graph with vertices labeled **A, B, C, D, E,** and **F**. Here are the connections (edges) between the vertices:
- **A** is connected to **B**
- **A** is connected to **D**
- **A** is connected to **C**
- **B** is connected to **D**
- **C** is connected to **D**
- **D** is connected to **E**
- **E** is connected to **F**
The graph also shows the labels on the edges between the vertices.
#### Answer Options:
- **a. all of these:** Indicates if edge BD is adjacent to all the other listed edges.
- **b. CD:** Indicates if edge BD is adjacent to edge CD.
- **c. none of these:** Indicates if edge BD is not adjacent to any of the other listed edges.
- **d. AD:** Indicates if edge BD is adjacent to edge AD.
- **e. BF:** Indicates if edge BD is adjacent to edge BF.
**Choose the correct option by analyzing the graph.**
**Educational Tip**: To determine adjacency in a graph, examine if two edges share a common vertex. For example, edge BD is adjacent to edge AD because they share vertex D.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1c391162-9195-45f3-90d3-bf22c5f933af%2Ffed8b34e-3689-4c2f-b84c-c7f590926380%2F365diy4h_processed.png&w=3840&q=75)
Transcribed Image Text:### Using Graphs to Understand Edge Adjacency
#### Question:
**Use the figure below to answer the following question(s).**
**Edge BD is adjacent to edge:**
- Select one:
- a. all of these.
- b. CD.
- c. none of these.
- d. AD.
- e. BF.
#### Figure Explanation:
The figure represents an undirected graph with vertices labeled **A, B, C, D, E,** and **F**. Here are the connections (edges) between the vertices:
- **A** is connected to **B**
- **A** is connected to **D**
- **A** is connected to **C**
- **B** is connected to **D**
- **C** is connected to **D**
- **D** is connected to **E**
- **E** is connected to **F**
The graph also shows the labels on the edges between the vertices.
#### Answer Options:
- **a. all of these:** Indicates if edge BD is adjacent to all the other listed edges.
- **b. CD:** Indicates if edge BD is adjacent to edge CD.
- **c. none of these:** Indicates if edge BD is not adjacent to any of the other listed edges.
- **d. AD:** Indicates if edge BD is adjacent to edge AD.
- **e. BF:** Indicates if edge BD is adjacent to edge BF.
**Choose the correct option by analyzing the graph.**
**Educational Tip**: To determine adjacency in a graph, examine if two edges share a common vertex. For example, edge BD is adjacent to edge AD because they share vertex D.
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