Q.

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 insufficient
Answer» B. n/2
Explanation: 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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