What type of graph can Dijkstra's algorithm be applied to?

Practice Questions

Q1
What type of graph can Dijkstra's algorithm be applied to?
  1. Directed graphs only
  2. Undirected graphs only
  3. Both directed and undirected graphs
  4. Graphs with cycles only

Questions & Step-by-Step Solutions

What type of graph can Dijkstra's algorithm be applied to?
  • Step 1: Understand what a graph is. A graph is made up of nodes (or vertices) connected by edges.
  • Step 2: Know that graphs can be directed or undirected. Directed graphs have edges with a direction, while undirected graphs do not.
  • Step 3: Learn about edge weights. Edge weights are values that represent the cost or distance to travel from one node to another.
  • Step 4: Recognize that Dijkstra's algorithm is used to find the shortest path between nodes in a graph.
  • Step 5: Remember that Dijkstra's algorithm can only be used if the edge weights are non-negative, meaning they cannot be less than zero.
  • Step 6: Conclude that Dijkstra's algorithm can be applied to both directed and undirected graphs as long as the edge weights are non-negative.
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