Draw the graph with 3 vertices A, B, C, D & E such that the deg(A)=3,B
is an odd vertex, deg(C)=2 and D and E are adjacent.

Here is the graph that satisfies the given conditions: 

- \( A \) has degree 3.
- \( B \) has an odd degree.
- \( C \) has degree 2.
- \( D \) and \( E \) are adjacent.

Would you like a breakdown of how each condition is met, or do you have any questions?

### Further exploration questions:
1. How do you calculate the total number of edges in a graph from vertex degrees?
2. What are some properties of graphs with odd-degree vertices?
3. Can the graph still satisfy the conditions if more edges are added?
4. How would the graph change if \( D \) and \( E \) were not adjacent?
5. What if \( B \)'s degree was specifically required to be 3 instead of just odd?

#### Tip: In graph theory, the sum of the degrees of all vertices is always twice the number of edges.

Draw the graph with 3 vertices A, B, C, D & E such that the deg(A)=3, B is an odd vertex, deg(C)=2 and D and E are adjacent.

Explore how to draw a graph with 3 vertices A, B, C, D & E where deg(A)=3, B is an odd-degree vertex, deg(C)=2, and D and E are adjacent. This problem involves key concepts from graph theory and is suitable for students in Grades 9-12.

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