18 Questions
What is a key characteristic of the greedy technique in algorithm design?
Making locally optimal choices at each step
What is the primary goal of the prove optimality step in the greedy technique?
To demonstrate that locally optimal choices lead to the best possible outcome
Which algorithm is used to solve the single-source shortest-paths problem in the general case with negative edge weights?
Bellman-Ford Algorithm
What is the purpose of the iterative process in the greedy technique?
To apply the chosen strategy iteratively, making locally optimal choices
Which of the following is NOT a characteristic of the greedy technique?
Allowing changes to previous choices
What is the primary focus of the strategy identification step in the greedy technique?
Understanding the problem and determining a strategy
What is the purpose of Prim's Algorithm?
To find the minimum cost spanning tree
What is the result of applying Huffman coding to a set of symbols?
A more efficient encoding scheme
What is the running time of the implementation of Prim's Algorithm?
Polynomial in the number of nodes
What is the main difference between Prim's Algorithm and Kruskal's Algorithm?
The method of computing the minimum spanning tree
What is the purpose of Step 1 in Huffman's Algorithm?
To create a separate tree for each symbol in the alphabet
What is the goal of finding the minimum spanning tree in a graph?
To minimize the total weight of the tree
What is a requirement for Dijkstra's algorithm to solve the single-source shortest-paths problem?
All edge weights are nonnegative
What is the primary function of the EXTRACT_MIN operation in Dijkstra's algorithm?
To select the vertex with the minimum shortest-path estimate
What is the definition of a spanning tree in an undirected connected graph?
A connected acyclic subgraph that contains all vertices
What is the purpose of the set S in Dijkstra's algorithm?
To store the vertices whose final shortest-path weights have been determined
What is the purpose of the priority queue Q in Dijkstra's algorithm?
To store the vertices, keyed by their d values
What is the difference between Dijkstra's algorithm and Prim's algorithm?
Dijkstra's algorithm finds the shortest path, while Prim's algorithm finds the minimum spanning tree
Test your knowledge of Dijkstra's algorithm and its application to single-source shortest paths in weighted, directed graphs and DAGs. Learn how to solve the single-source shortest-paths problem with nonnegative edge weights.
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