Number of simple graph with n vertices | GATECSE | Graph Theory

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About Video: In this video I have discussed that how to calculate the number of possible connected simple graphs with n labelled vertices.
The number of simple graphs with n vertices can be large and depends on factors like edges and connectivity. The maximum number of simple graphs with n vertices is 2^(2^2)^(2^n), where 2^(2^2)^(2^n) represents the number of ways to choose 2 vertices from n vertices. As n increases, the number of possible graphs grows exponentially. The number of connected simple graphs with n vertices is typically smaller than the total number. Researchers often use combinatorial techniques to derive estimates or asymptotic bounds for counting specific classes of graphs.

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