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 22
For vertex connectivity ²V₂³V₂, (a) a proto-graph [identical to that in Fig. 20

(a)] for the matrix-element combination (10 × 1) and the corresponding vertex and edge subsets, (b) the directed proto-graph in which the 2–3 edge is assigned as wrapped in the −c direction and the corresponding adjacency matrix and edge subsets, and (c) the resultant chain graph. (d) The directed proto-graph in which the 1–2 and 1–3 edges have been assigned as wrapped in the +c direction and the 2–3 edge in the −c direction, and the corresponding adjacency matrix and edge subsets, and (e) the resultant chain graph. (f) The directed proto-graph in which the 2–3 and 1–2 edges have been assigned as wrapped in the −c direction and the 1–3 edge in the +c direction, and the corresponding adjacency matrix and edge subsets, (g) the resultant chain graph, and (h) an untangled version of this chain graph. Note that the chain graph in (e) is isomorphic with the chain graph in (c) as unwrappings involving vertex 1 in (d) are redundant. Legend as in Fig. 21

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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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