What is the number of edges present in a simple (ie. no parallel edges, no self loops) and complete (i.e every pair of vertices is connected by an edge) graph with n vertices? Information given is insufficient (n*(n-1))/2 (n*(n+1))/2 On*n
What is the number of edges present in a simple (ie. no parallel edges, no self loops) and complete (i.e every pair of vertices is connected by an edge) graph with n vertices? Information given is insufficient (n*(n-1))/2 (n*(n+1))/2 On*n
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![**Problem Statement**
What is the number of edges present in a simple (i.e., no parallel edges, no self-loops) and complete (i.e., every pair of vertices is connected by an edge) graph with \( n \) vertices?
**Options**
- ○ Information given is insufficient
- ○ \(\frac{n \times (n-1)}{2}\)
- ○ \(\frac{n \times (n+1)}{2}\)
- ○ \(n \times n\)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe418dfc1-6cae-43cf-a5a8-d6abd47c332b%2F08f5514c-ac2a-4ef5-95df-ba861388231d%2Ft7jbfab_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem Statement**
What is the number of edges present in a simple (i.e., no parallel edges, no self-loops) and complete (i.e., every pair of vertices is connected by an edge) graph with \( n \) vertices?
**Options**
- ○ Information given is insufficient
- ○ \(\frac{n \times (n-1)}{2}\)
- ○ \(\frac{n \times (n+1)}{2}\)
- ○ \(n \times n\)
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