What is the space complexity of Dijkstra's algorithm when using an adjacency lis

Practice Questions

Q1
What is the space complexity of Dijkstra's algorithm when using an adjacency list representation of the graph?
  1. O(V)
  2. O(E)
  3. O(V + E)
  4. O(V^2)

Questions & Step-by-Step Solutions

What is the space complexity of Dijkstra's algorithm when using an adjacency list representation of the graph?
  • Step 1: Understand that Dijkstra's algorithm is used to find the shortest path in a graph.
  • Step 2: Know that a graph can be represented in different ways, one of which is an adjacency list.
  • Step 3: In an adjacency list, each vertex has a list of all the vertices it is connected to by edges.
  • Step 4: Identify that 'V' represents the number of vertices in the graph.
  • Step 5: Identify that 'E' represents the number of edges in the graph.
  • Step 6: Realize that the space needed to store the adjacency list is proportional to the number of vertices and edges.
  • Step 7: Conclude that the total space used by the adjacency list is O(V + E), which means it grows with the number of vertices and edges.
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