## What is the maximum number of edges in an undirected graph?

The maximum number of edges in an undirected graph is n(n-1)/2 and obviously in a directed graph there are twice as many.

### What is the maximum number of edges for an undirected graph of 10 vertices?

100v = 2 x 500,000. This gives v = 10,000. Suppose G is a simple graph on 10 vertices that is not connected. Prove that G has at most 36 edges.

**How do you find the number of edges on an undirected graph?**

n(n-1)/2 is the maximum number of edges in a simple undirected graph, not the number of edges for every such graph. Given that you have an adjacency list representation, let it be the case that vertices u and v have an edge between them.

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

28 edges

Therefore a simple graph with 8 vertices can have a maximum of 28 edges.

## What is the maximum number of edges in an undirected graph with n vertices in which each vertex has degree at most K?

(n-k+1)(n-k)/2 It is because maximum number of edges with n vertices is n(n-1)/2.

### What is the maximum number of edges in the tree generated by DFA from an undirected graph with n vertices?

An undirected graph can have a minimum of n−1 edges and a maximum of (N2)=n(n−1)2 edges.

**What is the maximum number of edges for a simple graph with 9 vertices?**

A simple graph with n vertices and k components has at most (n-k)*(n-k+1)/2 edges. So the given graph can have at most (9-2)*(9-2+1)/2=28 edges under the assumption that it is a simple graph.

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

n-1 edges

What is the maximum number of edges in an acyclic undirected graph with n vertices? Explanation: n * (n – 1) / 2 when cyclic. But acyclic graph with the maximum number of edges is actually a spanning tree and therefore, correct answer is n-1 edges.

## How do you find the number of edges?

The sum of the vertex degree values is twice the number of edges, because each of the edges has been counted from both ends. In your case 6 vertices of degree 4 mean there are (6×4)/2=12 edges.

### What is the maximum number of edges in a 8 node undirected graph without self loops?

Maximum number of edges in an n-node undirected graph without self loops is ____. is the maximum number of edges in an acyclic undirected graph with k vertices….

Q. | The maximum number of edges in a 8- node undirected graph without self loops is |
---|---|

B. | 61 |

C. | 28 |

D. | 17 |

Answer» c. 28 |

**What is the maximum possible number of edges of a graph with n vertices and k components?**

A simple graph with n vertices and k components can have at most have (n−k)(n− k+1)/2 edges.

**How many edges does an undirected graph have n vertices?**

A graph with no loops and no parallel edges is called a simple graph. The maximum number of edges possible in a single graph with ‘n’ vertices is nC2 where nC2 = n(n – 1)/2.