Question: Let G represent an undirected graph. Also let SPATH = {G, a, b, k| G contains a simple path of length at most k from

Let G represent an undirected graph. Also let SPATH = {〈G, a, b, k〉| G contains a simple path of length at most k from a to b}, And LPATH = {〈G, a, b, k〉| G contains a simple path of length at least k from a to b}.

a. Show that SPATH ∈ P.

b. Show that LPATH is NP-complete.

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