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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.

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

Maximum number of edges in an acyclic undirected graph with n?

n - 1


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 undirected graph with V vertices?

V*(V-1)/2


Given an undirected graph G and an integer k?

Given an undirected graph G=(V,E) and an integer k, find induced subgraph H=(U,F) of G of maximum size (maximum in terms of the number of vertices) such that all vertices of H have degree at least k


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

It is a true statement.


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 prisms have vertices?

Every prism has vertices. They have an even number of vertices, with a minimum of 6 and no maximum.


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The expression "acyclic number" is not recognised: additional context may help.


What is the maximum number of intersections that two tringles with different vertices could in a coordinate plane?

Six.


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.


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

Let G be a complete graph with n vertices. Consider the case where n=2. With only 2 vertices it is clear that there will only be one edge. Now add one more vertex to get n = 3. We must now add edges between the two old vertices and the new one for a total of 3 vertices. We see that adding a vertex to a graph with n vertices gives us n more edges. We get the following sequence Edges on a graph with n vertices: 0+1+2+3+4+5+...+n-1. Adding this to itself and dividing by two yields the following formula for the number of edges on a complete graph with n vertices: n(n-1)/2.


what solid has more vertices?

There is no limit to the number of vertices that a solid can have.There is no limit to the number of vertices that a solid can have.There is no limit to the number of vertices that a solid can have.There is no limit to the number of vertices that a solid can have.