DNA constructs that encode a three node Hamiltonian Path Problem. a. The three node directed graph contains a Hamiltonian path starting at the RFP node, proceeding to the GFP node, and finishing at the TT node. b. Construct ABC represents a solution to the three node HPP. Its three hixC-flanked DNA segments are in the proper order and orientation for the GFP and RFP genes to be intact. ACB has the RFP gene intact but not the GFP gene, while BAC has neither gene intact.