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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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