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.