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Which graph has a size of minimum vertex cover equal to maximum matching?(a) Cartesian(b) Tree(c) Heap(d) BipartiteI 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

Answer» 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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