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Q: Maximum number of edges in an acyclic undirected graph with n?
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What is n in Maximum number of edges in an acyclic undirected graph with n?

n-1


What is the maximum number of edges in an acyclic undirected graph with n vertices?

n * (n - 1) / 2 That would ignore the "acyclic" part of the question. An acyclic graph with the maximum number of edges is a tree. The correct answer is n-1 edges.


What is the maximum number of edges in an undirected graph with V vertices?

V*(V-1)/2


What is the sum of degrees of all vertices in an undirected graph is twice the number of edges?

It is a true statement.


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 are the different types of edges found in graph theory and how do they impact the connectivity of a graph?

In graph theory, the different types of edges are directed edges and undirected edges. Directed edges have a specific direction, while undirected edges do not. The type of edges in a graph impacts the connectivity by determining how nodes are connected and how information flows between them. Directed edges create a one-way connection between nodes, while undirected edges allow for two-way connections. This affects the paths that can be taken between nodes and the overall structure of the graph.


How many minimum edges in a Cyclic graph with n vertices?

The term "cyclic graph" is not well-defined. If you mean a graph that is not acyclic, then the answer is 3. That would be the union of a complete graph on 3 vertices and any number of isolated vertices. If you mean a graph that is (isomorphic to) a cycle, then the answer is n. If you are really asking the maximum number of edges, then that would be the triangle numbers such as n (n-1) /2.


What is a Bayesian network?

A Bayesian network is a directed acyclic graph whose vertices represent random variables and whose directed edges represent conditional dependencies.


What has 6 vertices and 15 edges?

I believe that such an object cannot exist in normal 3-d space. If there are 6 vertices, the maximum number of edges is 12.


How can the number of edges of the base of a prism be used to calculate the number of edges?

The number of edges of the base of a prism can be used to calculate the total number of edges by first determining the number of edges on one base. For example, a rectangular prism has 4 edges on its base. Then, multiply this number by 2 to account for the top and bottom bases. Finally, add the number of edges around the sides of the prism, which is the same as the number of edges on the base. So, in total, the number of edges of a prism can be calculated as 2 times the number of edges on the base plus the number of edges around the sides.


Is the number of edges on the base of a pyramid is twice the total number of edges?

No, it is the other way around. The total number of edges is twice the number of edges on the base.


What is the runtime complexity of the Edmonds-Karp algorithm for finding the maximum flow in a network?

The runtime complexity of the Edmonds-Karp algorithm for finding the maximum flow in a network is O(VE2), where V is the number of vertices and E is the number of edges in the network.