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Which graph has a size of minimum vertex cover equal to maximum matching?

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in Data Structures & Algorithms II by (89.2k points)
Which graph has a size of minimum vertex cover equal to maximum matching?

(a) Cartesian

(b) Tree

(c) Heap

(d) Bipartite

I have been asked this question at a job interview.

The origin of the question is Bipartite Graphs in division Bipartite Graphs of Data Structures & Algorithms II

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Correct option is (d) Bipartite

Explanation: The Konig’s theorem given the equivalence relation between the minimum vertex cover and the maximum matching in graph theory. Bipartite graph has a size of minimum vertex cover equal to maximum matching.

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