Bond topology of chain, ribbon and tube silicates. Part I. Graph-theory generation of infinite one-dimensional arrangements of (TO4)n− tetrahedra

Day, M.C.; Hawthorne, F.C.

doi:10.1107/S2053273322001747

Acta Crystallographica Section A
Acta Crystallographica
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Figure 28
(a) A proto-graph with vertex connectivity ¹V₂²V₁³V₂ and its corresponding adjacency matrix, and (b) the resultant chain graph in which edges 1–2, 2–3, 3–4 and 3–5 and vertices 2 to 5 form linear branches (indicated by the green ellipse). (c) A directed proto-graph in which the 3–5 edge is assigned as wrapped in the +c direction, its corresponding adjacency matrix, and (d) the resultant chain graph. (e) The directed proto-graph in which the 2–3 and 3–5 edges are assigned as wrapped in the +c direction, the corresponding adjacency matrix, and (f) the resultant chain graph. (g) The directed proto-graph in which the 1–2, 2–3 and 3–5 edges are assigned as wrapped in the +c direction, its corresponding adjacency matrix, and (h) the resultant chain graph. Note how chain graphs in (b), (d), (f) and (h) are isomorphic. Legend as in Fig. 7

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ISSN: 2053-2733

Volume 78| Part 3| May 2022| Pages 212-233

https://doi.org/10.1107/S2053273322001747

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