What type of graph representation is most efficient for Dijkstra's algorithm?

What type of graph representation is most efficient for Dijkstra's algorithm?

Step 1: Understand what Dijkstra's algorithm does. It finds the shortest path from one node to all other nodes in a graph.
Step 2: Know that a graph can be represented in different ways, such as an adjacency list or an adjacency matrix.
Step 3: Learn what an adjacency list is. It is a way to represent a graph where each node has a list of its neighboring nodes.
Step 4: Understand what an adjacency matrix is. It is a 2D array where rows and columns represent nodes, and the values indicate if there is a connection between them.
Step 5: Compare the two representations. An adjacency list uses less space and allows quicker access to neighbors, especially in sparse graphs (graphs with fewer edges).
Step 6: Conclude that for Dijkstra's algorithm, an adjacency list is generally more efficient because it helps find neighboring nodes faster.

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