What is the maximum possible number of edges in a directed graph with no self loops having 8 vertices?
Question
What is the maximum possible number of edges in a directed graph with no self loops having 8 vertices?
Solution
The maximum number of edges in a directed graph with n vertices and no self-loops can be calculated using the formula n*(n-1).
Here's the step-by-step calculation:
- Identify the number of vertices. In this case, it's 8.
- Subtract 1 from the number of vertices. So, 8 - 1 = 7.
- Multiply the original number of vertices by the result from step 2. So, 8 * 7 = 56.
Therefore, the maximum possible number of edges in a directed graph with 8 vertices and no self-loops is 56.
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