10 Questions
Which algorithm is used to find the shortest paths between nodes in a weighted graph?
Dijkstra's algorithm
Who conceived Dijkstra's algorithm?
Edsger W. Dijkstra
What does Dijkstra's algorithm find when a single source node is fixed?
Shortest paths from the source to all other nodes
What can the costs of edge paths represent in the graph?
Driving distances between pairs of cities
In which year was Dijkstra's algorithm published?
1959
Which variant of Dijkstra's algorithm finds the shortest path between two given nodes?
The original algorithm
What does Dijkstra's algorithm find when a single node is fixed as the source?
The shortest path between the source node and all other nodes
What does the algorithm produce when finding shortest paths from a source node to all other nodes in the graph?
A shortest-path tree
Can Dijkstra's algorithm be used to find the shortest paths from a single node to a single destination node?
Yes
What can the graph represent in Dijkstra's algorithm?
Road networks
Study Notes
Dijkstra's Algorithm
- Dijkstra's algorithm is used to find the shortest paths between nodes in a weighted graph.
- Edsger W. Dijkstra conceived Dijkstra's algorithm.
Functionality of Dijkstra's Algorithm
- When a single source node is fixed, Dijkstra's algorithm finds the shortest paths from the source node to all other nodes in the graph.
- The algorithm produces a shortest-path tree, which is a subgraph that contains the shortest paths from the source node to all other nodes.
Representation of Graph
- The graph can represent various systems, such as transportation networks, communication networks, or social networks.
Variants of Dijkstra's Algorithm
- A variant of Dijkstra's algorithm, known as the single-pair shortest path problem, finds the shortest path between two given nodes.
Edge Costs
- The costs of edge paths in the graph can represent various metrics, such as distance, time, or cost.
History of Dijkstra's Algorithm
- Dijkstra's algorithm was published in 1959.
Test your knowledge of Dijkstra's algorithm with this quiz! Learn about the history, variations, and applications of this influential algorithm for finding shortest paths in weighted graphs. Perfect for computer scientists, mathematicians, and anyone interested in graph theory.
Make Your Own Quizzes and Flashcards
Convert your notes into interactive study material.
Get started for free
