A complete bipartite graph is a one in which each vertex in set X has an edge with set Y. Let n be the total number of vertices. For maximum number of edges, the total number of vertices hat should be present on set X is?(a) n(b) n/2(c) n/4(d) data insufficientThe question was posed to me in an online quiz.Query is from Bipartite Graphs topic in portion Bipartite Graphs of Data Structures & Algorithms II

A complete bipartite graph is a one in which each vertex in set X has

1.	A complete bipartite graph is a one in which each vertex in set X has an edge with set Y. Let n be the total number of vertices. For maximum number of edges, the total number of vertices hat should be present on set X is?(a) n(b) n/2(c) n/4(d) data insufficientThe question was posed to me in an online quiz.Query is from Bipartite Graphs topic in portion Bipartite Graphs of Data Structures & Algorithms II
Answer» CORRECT option is (b) n/2 To EXPLAIN: We can prove this by calculus. Let x be the TOTAL number of vertices on set X. Therefore set Y will have n-x. We have to maximize x*(n-x). This is TRUE when x=n/2.

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