The maximum number of edges in a 8-node undirected graph without self loops is ____________(a) 45(b) 61(c) 28(d) 17I have been asked this question by my school principal while I was bunking the class.This intriguing question comes from Complete and Connected Graphs topic in section Graphs of Discrete Mathematics

The maximum number of edges in a 8-node undirected graph without self

1.	The maximum number of edges in a 8-node undirected graph without self loops is ____________(a) 45(b) 61(c) 28(d) 17I have been asked this question by my school principal while I was bunking the class.This intriguing question comes from Complete and Connected Graphs topic in section Graphs of Discrete Mathematics
Answer» The correct answer is (c) 28 Easy explanation: In a graph of N VERTICES we can draw an EDGE from a vertex to n-1 vertex we will do it for n vertices and so TOTAL number of edges is n(n-1). Now each edge is counted twice so the REQUIRED maximum number of edges is n(n-1)/2. Hence, 8*(8-1)/2 = 28 edges.

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