Consider the following two statements:

S1: A connected graph of at least 2 vertices has an Euler circuit if and only if the degree of every vertex is even

S2: A connected graph has an Euler path if and only if there are at most two vertices with odd degree.

Which of the following option is correct regarding the above statements?

1
S1 is true and S2 is false
2
S1: is false and S2 is true
3
S1 and S2 are true
4
S1 and S2 are false
5
Question Not Attempted

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