https://file.aiquickdraw.com/mathbot/file/1721157953751obzdg15b.png

Nodes that are incident or adjacent to E are:

Select one:
a. ABGD
b. GBDC
c. CDFB
d. FDCA

I apologize for the previous incorrect response. Let's correct the analysis based on the provided graph.

Nodes that are adjacent (connected by an edge) to node \(E\) are:

- \(D\) (with edge weight 4)
- \(C\) (with edge weight 2)
- \(F\) (with edge weight 3)

Therefore, the nodes that are incident to \(E\) are \(D\), \(C\), and \(F\).

So, the correct answer is:

c. CDFB

Would you like more details or have any questions?

Here are 5 questions you can ask:
1. How to find the shortest path between two nodes in a weighted graph?
2. What is the degree of a node in a graph, and how is it calculated?
3. How do you determine if a graph is a tree?
4. What are the different types of graphs (e.g., directed, undirected, weighted, unweighted)?
5. How to apply Dijkstra's algorithm to find the shortest path in a graph?

**Tip:** When analyzing a graph, clearly identifying the connections (edges) between nodes (vertices) is crucial for understanding the graph's structure and properties.

Explore the concepts of adjacency and incidence in graph theory with a detailed explanation on how to determine nodes incident or adjacent to a given node. This problem specifically examines the connections (edges) between nodes (vertices) in a graph structure.

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