Question

draw a graph for the description. the vertices are a, b, c, and d. the edges are ab, bc, cd, bd, and bb. choose the correct graph below. a. (graph with a connected to b, b connected to c and d, c connected to d, b has a loop) b. (graph with a connected to b and d, a connected to c, b connected to d) c. (graph with a connected to b and c, c connected to d, b connected to c) (note: actual graph details as per image)

Explanation:

We need to check each option against the given vertices (A, B, C, D) and edges (AB, BC, CD, BD, BB).

• Option A:
• Vertices: A, B, C, D.
• Edges: AB (A - B), BC (B - C), CD (C - D), BD (B - D). Also, since there is a loop at B (which can be considered as BB in a graph - the loop is an edge from a vertex to itself).
• Option B:
• Vertices: A, B, C, D. But the edges do not match as there is no BC and CD in the required form (and the loop is at A instead of B).
• Option C:
• Vertices: A, B, C, D. But the edges do not match as there is no BC in the required form (and the loop is at D instead of B).

Answer:

A.