Let G be a simple graph with n vertices. The bandwidth of

Chapter , Problem 51E

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Problem 51E

Let G be a simple graph with n vertices. The bandwidth of G, denoted by B(G), is the minimum, overall permutations   a1, a2,... ,an of the vertices of G, of max {|i-j||ai,and aj are adjacent}. That is, the bandwidth is the minimum over all listings of the vertices of the maximum difference in the indices assigned to adjacent vertices. Find the bandwidths of these graphs.

a) K5

b) K 1,3

c) K2,3

d) K3,3

e) Q3

f) C5

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