0
Still curious? Ask our experts.
Chat with our AI personalities
Ezra
Vivi
DevinAdd your answer:
Earn +20 pts
What is the difference between a minimum spanning tree and a shortest path in graph theory?
In graph theory, a minimum spanning tree is a tree that connects all the vertices of a graph with the minimum possible total edge weight, while a shortest path is the path with the minimum total weight between two specific vertices in a graph. In essence, a minimum spanning tree focuses on connecting all vertices with the least total weight, while a shortest path focuses on finding the path with the least weight between two specific vertices.
What is the longest path in a directed acyclic graph?
The longest path in a directed acyclic graph is the path with the greatest total weight or distance between two vertices, without repeating any vertices or going in a cycle.
What is the longest path in a Directed Acyclic Graph (DAG)?
In a Directed Acyclic Graph (DAG), the longest path is the path with the greatest number of edges between two vertices, without forming a cycle.
What is the shortest path in a directed graph between two nodes?
The shortest path in a directed graph between two nodes is the path with the fewest number of edges or connections between the two nodes. This path is determined by algorithms like Dijkstra's or Bellman-Ford, which calculate the shortest distance between nodes based on the weights assigned to the edges.
Is there a difference between connected and strongly connected in the context of graph theory?
Yes, in graph theory, a connected graph is one where there is a path between every pair of vertices, while a strongly connected graph is one where there is a directed path between every pair of vertices.
