How to know total cycle of graph that have 5 vertices?
The graph looks like star below
First cycle have to be greater than 3 edge so
$5C3$=10
Then for 4 vertices : there are $5C4=5$ but there are 3 possible shape like trapezium then candy shape and sand watch so 5x3=15
But im not sure for 5 vertices : $5C5$
How can i find it and is there easy way? Thanks
