How Many Substructures Can Be Found in Complete Graphs K_n?

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If we have K_n denote the complete graph on n vertices, can anyone explain to me how to know how many substructures does K_n have?
 
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sara15 said:
If we have K_n denote the complete graph on n vertices, can anyone explain to me how to know how many substructures does K_n have?

Do you mean how many sub graphs does it have? If so, how many subsets of n verticies is there?
 
Robert1986 said:
Do you mean how many sub graphs does it have? If so, how many subsets of n verticies is there?

yes it means a subgraph
 

Thread 'Finding the nth roots of a complex number'

There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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