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

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

What is the minimum number of edges in an undirected graph?

(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 max number of edges in a graph with n vertices?

Multi Graph Since ‘c’ and ‘d’ have two parallel edges between them, it a Multigraph. In the above graph, the vertices ‘b’ and ‘c’ have two edges. The vertices ‘e’ and ‘d’ also have two edges between them. Hence it is a Multigraph.

What is the maximum number of edges in 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.

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

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 a simple undirected graph G can have if it has 10 vertices?

A connected 10-vertex graph can have as few as 9 (if it is just a broken line) and as many as 10*9/2=45 (if it is a complete decagon) edges.

What is the maximum number of possible edges in an undirected graph with k vertices and V components justify your answer?

So the maximum number of edges in this case are 3. This implies that replacing n with n-k+1 in the formula for maximum number of edges i.e, n(n-1)/2 will results in (n-k+1)(n-k)/2 which is maximum number of edges that a graph of n vertices with k connected component can have.

How many edges are in a complete undirected graph with six vertices?

A complete graph has an edge between any two vertices. You can get an edge by picking any two vertices. So if there are n vertices, there are n choose 2 = (n2)=n(n−1)/2 edges.

What is the maximum possible number of edges in undirected graph with self loop having 5 vertices?

12×4×5=10.

How many total number of edges present in complete undirected graph if it has n nodes?

A complete graph is a graph in which every pair of vertices is connected by exactly one edge. So a complete graph on n vertices contains n(n – 1)/2 edges and your question is equivalent to asking what value of n makes n(n – 1)/2 = 45. 10 x 9/2 = 45 so the answer is 10.

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. We can choose to have (or not have) any of the n(n-1)/2 edges. So, total number of undirected graphs with n vertices is 2(n(n-1)/2).

Is the maximum number of edges in an acyclic undirected graph with k vertices Mcq?

______ is the maximum number of edges in an acyclic undirected graph with k vertices. Explanation: This is possible with spanning trees since, a spanning tree with k nodes has k – 1 edges. Explanation: For making a cyclic graph, the minimum number of edges have to be equal to the number of vertices.

What is the maximum number of edges a graph can have?

The maximum number of edges is simply the number of pairs of distinct vertices; if there are n vertices, this is ( n 2) = n! 2! ( n − 2)! = n ( n − 1) 2. Thanks for contributing an answer to Mathematics Stack Exchange!

How to find the number of vertices of an undirected graph?

Given integers ‘N’ and ‘K’ where, N is the number of vertices of an undirected graph and ‘K’ denotes the number of edges in the same graph (each edge is denoted by a pair of integers where i, j means that the vertex ‘i’ is directly connected to the vertex ‘j’ in the graph).

How do you know if a graph is a directed graph?

A graph is a directed graph if all the edges in the graph have direction. The vertices and edges in should be connected, and all the edges are directed from one specific vertex to another. The main difference between a directed and an undirected graph is reachability.