Question

Consider the complete bipartite graph Kn,n with 2n vertices. Let kn be the number of edges...

Consider the complete bipartite graph Kn,n with 2n vertices. Let kn be the number of edges in Kn,n. Draw K1,1, K2,2 and K3,3 and determine k1, k2, k3. Give a recurrence relation for kn and solve it using an initial value.

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Answer #1

k1=1

k2=4

k3=9


Recurrence Relation: kn =kn-1 + 2n - 1.

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