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For which of the following, greedy algorithm finds a minimal vertex cover in polynomial time?

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For which of the following, greedy algorithm finds a minimal vertex cover in polynomial time?

(a) tree graphs

(b) bipartite graphs

(c) both (a) and (b)

(d) none of the mentioned

I got this question at a job interview.

This question is from Node-Cover Problem, Hamilton Circuit Problem topic in section Intractable Problems of Automata Theory

1 Answer

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Best answer
Correct answer is (a) tree graphs

The best explanation: For bipartite graphs, Konigs theorem allows the bipartite vertex problem to be solved in polynomial time.

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