The maximum number of edges in a bipartite graph on 14 vertices is ___________(a) 56(b) 14(c) 49(d) 87This question was addressed to me by my college professor while I was bunking the class.The doubt is from Bipartite Graphs in portion Graphs of Discrete Mathematics

The maximum number of edges in a bipartite graph on 14 vertices is ___

1.	The maximum number of edges in a bipartite graph on 14 vertices is ___________(a) 56(b) 14(c) 49(d) 87This question was addressed to me by my college professor while I was bunking the class.The doubt is from Bipartite Graphs in portion Graphs of Discrete Mathematics
Answer» Right choice is (c) 49 Easiest explanation: Maximum NUMBER of EDGES occur in a complete bipartite graph when every vertex has an edge to every opposite vertex in the graph. Number of edges in a complete bipartite graph is ab, where a and b are no. of vertices on each side. This QUANTITY is maximum when a = b i.e. when there are 7 vertices on each side. So answer is 7 7 = 49.

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