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Figure 27
(a) A proto-graph and corresponding chain graph with vertex connectivity 1V32V43V14V1 in which edges 3–5, 3–2, 3–7, 2–4, 5–6, 7–8 and 8–9 and vertices 2 to 9 form linear branches, and edge 1–1 and vertex 1 form the backbone chain. (b) A proto-graph and corresponding chain graph with vertex connectivity 1V22V13V24V1 in which edges 3–2, 2–4, 2–5 and 5–6 and vertices 2, 4, 5 and 6 form linear branches and edges 1–1, 3–3 and 1–3 and vertices 1 and 3 form the backbone chain. (c) A proto-graph and corresponding chain graph with vertex connectivity 2V23V4 in which edges 3–2, 3–5, 2–5, 2–4, 5–6 and 4–6 and vertices 2 to 6 form polygonal branches, and edges 1–1 and vertex 1 form the backbone chain. Legend as in Fig. 7[link].

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