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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
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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### 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.
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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