What is the primary difference between Depth-First Search (DFS) and Breadth-First Search (BFS) in graph traversal?
Explanation
DFS prioritizes depth by going as deep as possible into the graph before backtracking, while BFS explores all nodes at the present depth before moving deeper.
2
Which algorithm is commonly used to find the shortest path in a weighted graph?
Explanation
Dijkstra's algorithm is specifically designed to find the shortest path in graphs with non-negative weights.
3
What type of graph has edges that have a direction associated with them?
Explanation
A directed graph contains edges that have a specific direction, indicating a one-way relationship between vertices.
4
In network flow problems, what is typically being maximized?
Explanation
Network flow problems focus on maximizing the flow from a source node to a sink node in a flow network.
5
What is the primary goal of community detection in graphs?
Explanation
Community detection aims to identify groups of nodes in a graph that are more densely connected to each other than to the rest of the graph.
6
Which of the following is a characteristic of a weighted graph?
Explanation
A weighted graph assigns values (or weights) to its edges, allowing for the representation of costs or distances.
7
What is a common application of graph theory in social networks?
Explanation
Graph theory is used in social networks for various applications, including finding shortest paths, calculating flows, and community detection.
8
Which algorithm is known for solving the maximum flow problem in a flow network?
Explanation
The Ford-Fulkerson algorithm is a well-known method for computing the maximum flow in a flow network.
9
What is the primary difference between directed and undirected graphs?
Explanation
Directed graphs have edges that indicate a specific direction from one vertex to another, while undirected graphs do not.
10
In the context of graph theory, what does BFS stand for?
Explanation
BFS stands for Breadth-First Search, which is a method for traversing or searching tree or graph data structures.
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