The number of edges in a complete bipartite graph ๐พ๐,๐K m,nโ is:A. ๐+๐m+nB. ๐๐mnC. ๐+๐โ1m+nโ1D. ๐๐โ1mnโ1
Question
The number of edges in a complete bipartite graph ๐พ๐,๐K m,nโ is:A. ๐+๐m+nB. ๐๐mnC. ๐+๐โ1m+nโ1D. ๐๐โ1mnโ1
Solution
A complete bipartite graph ๐พ๐,๐ is a graph whose vertices can be divided into two disjoint sets of m and n vertices such that every vertex in the first set is connected to every vertex in the second set.
The number of edges in a complete bipartite graph ๐พ๐,๐ is given by the product of the number of vertices in each set. This is because each vertex in one set is connected to every vertex in the other set.
So, the number of edges in a complete bipartite graph ๐พ๐,๐ is ๐๐ (option B).
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