One can model a maze by having a vertex for a starting point, a finishing point, dead ends, and all the points in the maze where more than one path can be taken, and then connecting the vertices according to the paths in the maze. a. Construct such a graph for the following maze. 店 b. Which traversal DFS or BFS-would you use if you found yourself in a maze and why?

Database System Concepts
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Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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**Maze and Graph Traversal: Modeling with Graphs**

4. One can model a maze by having a vertex for a starting point, a finishing point, dead ends, and all the points in the maze where more than one path can be taken. These vertices are then connected according to the paths present in the maze.

   a. **Task**: Construct a graph for the maze shown. The maze is a square grid with multiple paths leading from an entrance to an exit. Use vertices to represent decision points, dead ends, the starting point, and the finishing point, and connect these vertices with edges corresponding to the pathways in the maze.

   b. **Discussion**: Consider which traversal method—Depth First Search (DFS) or Breadth First Search (BFS)—would you use if you found yourself in a maze and why? Discuss the advantages and disadvantages of each method in the context of maze exploration.

**Diagram Explanation**: 
The diagram depicts a square maze with an entrance and exit marked by arrows. The maze consists of a series of vertical and horizontal paths that include dead ends, intersections, and bends, which must be navigated to find a solution.
Transcribed Image Text:**Maze and Graph Traversal: Modeling with Graphs** 4. One can model a maze by having a vertex for a starting point, a finishing point, dead ends, and all the points in the maze where more than one path can be taken. These vertices are then connected according to the paths present in the maze. a. **Task**: Construct a graph for the maze shown. The maze is a square grid with multiple paths leading from an entrance to an exit. Use vertices to represent decision points, dead ends, the starting point, and the finishing point, and connect these vertices with edges corresponding to the pathways in the maze. b. **Discussion**: Consider which traversal method—Depth First Search (DFS) or Breadth First Search (BFS)—would you use if you found yourself in a maze and why? Discuss the advantages and disadvantages of each method in the context of maze exploration. **Diagram Explanation**: The diagram depicts a square maze with an entrance and exit marked by arrows. The maze consists of a series of vertical and horizontal paths that include dead ends, intersections, and bends, which must be navigated to find a solution.
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