Number 5 parts a,b,c b and c are continued onto the next page Answer the same questions as in Exercise 3 for the graph in Figure 9(b) (a) How many Hamilton circuits does the graph K n, n have for n greaterthanorequalto 2 Count circuits as different if they have different starting points or different vertex sequences (b) How many Hamilton paths does K n, n 1 have for n greaterthanorequalto 2 (c) Which complete bipartite graphs K m, n have Euler paths For n greaterthanorequalto 3, build a graph K n from the complete K n 1 by adding one more vertex and an edge new vertex to a vertex of K n 1 Figure 1(c) K 5 Show that K n is not Hamiltonian

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Number 5 parts a,b,c  b and c are continued onto the next page  Answer the same questions as in Exercise 3 for the graph in Figure 9(b)  (a) How many Hamilton circuits does the graph K n, n have for n greaterthanorequalto 2   Count circuits as different if they have different starting points or different vertex sequences   (b) How many Hamilton paths does K n, n 1 have for n greaterthanorequalto 2  (c) Which complete bipartite graphs K m, n have Euler paths  For n greaterthanorequalto 3, build a graph K    n from the complete K n   1 by adding one more vertex and an edge new vertex to a vertex of K n   1   Figure 1(c) K    5   Show that K    n is not Hamiltonian

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Number 5 parts a,b,c. b and c are continued onto the next page. Answer the same questions as in Exercise 3 for the graph in

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