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
Section A FOUNDATIONS AND ADVANCES

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Figure 25
For vertex connectivity ²V₂³V₂, (a) a proto-graph [identical to that in Fig. 20

(a)] and the corresponding vertex and edge subsets, (b) the directed proto-graph in which the 1–3 and 2–3 edges are assigned as wrapped in the +c direction and the 2–4 edge in the −c direction, its corresponding adjacency matrix and edge subsets, (c) the resultant chain graph, (d) an untangled version of this chain graph. (e) The directed proto-graph produced by omitting redundant unwrappings involving vertex 3 in (b), its corresponding adjacency matrix and edge subsets, and (f) the resultant chain graph which is non-isomorphic with the chain graph in (c). (g) The directed proto-graph in which the 2–4 edge is assigned as wrapped in the −c direction and the 3–4 edge is assigned as wrapped in the +c direction, its corresponding adjacency matrix and edge subsets, (h) the resultant chain graph, and (i) an untangled version of this chain graph. Note the chain graphs in (h) and (i) are isomorphic with the chain graphs in (c) and (d). Legend as in Figs. 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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