b d a C e

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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The adjacency matrix of the following graph is

The image depicts a graph structure with five vertices labeled a, b, c, d, and e. The vertices are connected by edges in the following manner:

- Vertex a is connected to vertices b and c.
- Vertex b is connected to vertices a, c, and d.
- Vertex c is connected to vertices a, b, d, and e.
- Vertex d is connected to vertices b and c.
- Vertex e has a loop, meaning it has an edge connecting back to itself, and it is also connected to vertex c.

This graph can be characterized as a type of multigraph due to the presence of the loop at vertex e. Multigraphs are graphs that can have multiple edges between two vertices or loops. 

The graph is non-planar as it cannot be drawn in a plane without edges crossing, particularly with the connections forming a complete graph on four vertices (a, b, c, d) and an additional connection with vertex e.
Transcribed Image Text:The image depicts a graph structure with five vertices labeled a, b, c, d, and e. The vertices are connected by edges in the following manner: - Vertex a is connected to vertices b and c. - Vertex b is connected to vertices a, c, and d. - Vertex c is connected to vertices a, b, d, and e. - Vertex d is connected to vertices b and c. - Vertex e has a loop, meaning it has an edge connecting back to itself, and it is also connected to vertex c. This graph can be characterized as a type of multigraph due to the presence of the loop at vertex e. Multigraphs are graphs that can have multiple edges between two vertices or loops. The graph is non-planar as it cannot be drawn in a plane without edges crossing, particularly with the connections forming a complete graph on four vertices (a, b, c, d) and an additional connection with vertex e.
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