(Solved):LONG-PATH is the problem of, given (G, u, v, k) where G is a graph, u and v vertices and k an integer, determining if there is a simple path in G from u to v of length at least k. Show that LONG-PA… View Answer…

 

Question

LONG-PATH is the problem of, given (G, u, v, k) where G is a graph, u and v vertices and k an integer, determining if there is a simple path in G from u to v of length at least k.

Show that LONG-PATH is NP-complete.

 

EXPERT ANSWER

Consider the following given data of the problem LONG-PATH (G, u, v, k):

G = G is a graph.

u, v = are vertices of the graph.

k

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