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How many Hamiltonian paths does the following graph have?

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in Data Structures & Algorithms II by (80.7k points)
How many Hamiltonian paths does the following graph have?

(a) 1

(b) 2

(c) 0

(d) 3

I had been asked this question in class test.

Enquiry is from Checksum, Complexity Classes & NP Complete Problems topic in division Checksum, Complexity Classes & NP Complete Problems of Data Structures & Algorithms II

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Best answer
The correct option is (c) 0

The best I can explain: The above graph has no Hamiltonian paths. That is, we cannot traverse the graph with meeting vertices exactly once.

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