Figure 10
A series of examples showing the colouring and labelling schemes used for drawing chain graphs and the method by which polygons are identified. (a) An acyclic chain graph in which vertices that comprise the backbone chain and linear branches are shown in red and green, respectively, edges linking the backbone chain to a branch are shown in blue. (b) A cyclic chain graph with polygonal branches drawn as described in (a). (c) A cyclic chain graph in which the cycles 1–2–3–1 and 1–2–4–1 (shown with green arrows) define triangles and the cycle 1–3–2–4–1 defines a square. (d) A cyclic chain graph in which the cycle 1–2–2′–1′–1 defines a square. In (d), note that the vertex-labelling scheme allows identification of polygons that span multiple repeat units. Vertices are labelled as described in Section 4.2.1 and dashed black lines show the repeat units of each chain graph. |