: transit function, induced path, betweenness, monotone, long cycle, house, domino, P-graph. ⁄Preliminary work for this paper …. Another one is the P-graph, see Fig. 2. The so-called HHD-free graphs and HHP-free graphs that ap- pear over and over below …, flnite, simple and loopless. In the sequel a long cycle or hole is a cycle of length at least flve and the P-graph is the …

constraints), the presented framework first employs the P-graph approach for the generation of an initial superstructure … units, and thus a successive approach is employed to automatically expand the initial P-graph superstructure. In addition …