Illustration of the use of split genes to encode a seven node Hamiltonian Path Problem. a. The manner in which each of the directed edges in Figure 1 could be encoded in DNA is illustrated. The 5' half of each node gene is denoted by and the 3' half is denoted by . DNA edges are depicted by gene halves connected by arrows and flanked by triangles that represent hixC sites. Transcription in the direction of the solid arrow would terminate early and result in the expression of only one marker gene. b. Hin-mediated recombination would randomly reshuffle the DNA edges into many configurations. One possible example of an HPP solution configuration with its marker gene halves reunited is illustrated. Transcription in the direction of the solid arrow would result in expression of the six marker gene phenotypes.