Similar observations concerning vertex addition generation methods allow one to improve on existing methods for the generation of catalog of interval and circle graphs. (2011) Noisy Network Localization via Optimal Measurement Refinement Part 2: Distance-Only Network Localization. Secure and Trust Computing, Data Management and Applications, 241-250. The generation of poset digraphs is shown to supply a practical orderly method for producing a catalog of lattices. Maximal Cliques Generating Algorithm for Spatial Co-location Pattern Mining. Finally, these observations are employed to generate restricted classes of digraphs, notably acyclic digraphs and poset digraphs. A generalization of this method is given that can be used to generate lists of graphs with given girth, planar graphs, k‐colorable graphs, and k‐connected graphs, for example. This method can be used to list all the nonisomorphic subgraphs of a given graph, as well as to produce catalogs of Hamiltonian graphs, pancyclic graphs, degree‐constrained graphs, and other classes. The existence of orderly methods to generate the graphs with a given subgraph and without a given subgraph is established. Orderly algorithms for the generation of exhaustive lists of nonisomorphic graphs are discussed. Orderly algorithms for generating restricted classes of graphs Orderly algorithms for generating restricted classes of graphs
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