Order 7 of the following sentences so that they form a proof for the following statment: A bipartite graph with n vertic

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Order 7 Of The Following Sentences So That They Form A Proof For The Following Statment A Bipartite Graph With N Vertic 1 (42.73 KiB) Viewed 135 times

Order 7 of the following sentences so that they form a proof for the following statment: A bipartite graph with n vertices cannot have more than n/4 edges. Choose from these sentences: Your Proof AB=0, AUB=V, and every edge is Incident to one vertex In A and one vertex in B. Since G is bipartite, Let G=(V, E) be a bipartite graph with n vertices. there exist two subsets A, B C V such that we have El < A.B. Thus, if x = |Athen |B| = n-1, so El <<(n - x) = -(x - n/2)2 + n/4 < n2/4. Since every edge is obtained by choosing one element in A and one element in B,