## How do you count the number of edges in 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 k vertices?

(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 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 estimate for number of edges in an undirected acyclic graph of n vertices?

The number of edges in a complete graph with n vertices = \frac{n(n-1)}{2}. This is because each vertex is connected to every vertex except itself and each edge is precisely double counted.

### What is the maximum number of edges in a directed and 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 in an undirected?**

## What is the minimum number of edges in an undirected graph with n vertices?

(n-1) edges

The minimum number of edges for undirected connected graph is (n-1) edges. To see this, since the graph is connected then there must be a unique path from every vertex to every other vertex and removing any edge will make the graph disconnected.

## What is the maximum possible number of edges in an undirected graph with no self loops having 8 vertices?

To get the maximum number of edges the graph should be complete. Therefore, the maximum number of edges in a complete graph is 28.

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

Solution: In an undirected graph, there can be maximum n(n-1)/2 edges.

### What is the maximum number of edges or lines that can be drawn for a simple graph with 10 vertices?

The total number of lines that can be drawn is C (10, 2) = 45. In other words, there are all together 45 ways to choose 2 different vertices out of the given 10 vertices. The handshaking theorem states that the sum of the degrees of an undirected graph is ___ the number of edges of the graph.

### How do you find the maximum number of edges on a graph?

The maximum number of edges possible in a single graph with ‘n’ vertices is nC2 where nC2 = n(n – 1)/2.

**What is the maximum number of edges in an acyclic undirected graph with n vertices * n 1?**

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.

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

## What is the maximum number of edges in a directed graph with n vertices?

Simple Graph The maximum number of edges possible in a single graph with ‘n’ vertices is nC2 where nC2 = n(n – 1)/2.

**How many edges can a directed acyclic graph have?**

If it was any more than n-1, then there is one node which is in both the in-degree and out-degree implying a cycle. Therefore each node than can have n-1 edges adjacent on it and so the maximum number of edges in the graph is n(n−1)/2.

### How many edges does an undirected acyclic graph have?

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.