A graph has r = 4 vertices and n = 5 edges. Then how many spanning trees can be drawn.a. 20 b. 22c. 18d. None of Them
Question
A graph has r = 4 vertices and n = 5 edges. Then how many spanning trees can be drawn.a. 20 b. 22c. 18d. None of Them
Solution
The number of spanning trees for a graph can be calculated using the formula n^(r-2), where n is the number of edges and r is the number of vertices.
In this case, r = 4 and n = 5.
So, the number of spanning trees is 5^(4-2) = 5^2 = 25.
However, none of the options provided (20, 22, 18) match this result. So, the correct answer is (d) None of Them.
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