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Check whether given degrees of vertices represent a Graph or Tree in Python
Suppose we have a list of degrees of some vertices. We have to check whether it is forming graph or tree.
So, if the input is like deg = [2,2,3,1,1,1], then the output will be Tree
To solve this, we will follow these steps −
- vert := number of vertices
- deg_sum := sum of all degree values of all vertices
- if 2*(vert-1) is same as deg_sum, then
- return 'Tree'
- return 'Graph'
Let us see the following implementation to get better understanding −
Example Code
def solve(deg): vert = len(deg) deg_sum = sum(deg) if 2*(vert-1) == deg_sum: return 'Tree' return 'Graph' deg = [2,2,3,1,1,1] print(solve(deg))
Input
[2,2,3,1,1,1]
Output
Tree
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