From the provided image, we can calculate the indegree of each vertex in the directed graph by counting the number of edges that point toward each vertex. Let’s determine the indegree for each vertex:

Vertices and their indegree:

1. Vertex a: No edges point to a.
   Indegree = 0.

2. Vertex b: Edges from a and e point to b.
   Indegree = 2.

3. Vertex c: Edge from b points to c.
   Indegree = 1.

4. Vertex d: Edges from b and e point to d.
   Indegree = 2.

5. Vertex e: Edge from a points to e.
   Indegree = 1.

Final Indegree Summary:

• $a: 0$
• $b: 2$
• $c: 1$
• $d: 2$
• $e: 1$

Let me know if you would like further clarifications or additional analyses!

Related Questions:

1. What are the outdegrees of each vertex in this graph?
2. How can we represent this graph using an adjacency matrix?
3. Is this graph strongly connected, and why?
4. How would you find all paths from vertex a to vertex c?
5. How does the concept of indegree relate to graph traversal algorithms like topological sort?

Tip:

When analyzing directed graphs, always differentiate between indegree (incoming edges) and outdegree (outgoing edges) for accuracy.