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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?
Directed graphs only
Undirected graphs only
Both directed and undirected graphs
Graphs with cycles only
Questions & Step-by-Step Solutions
What type of graph can Dijkstra's algorithm be applied to?
Steps
Concepts
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.
No concepts available.
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