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 19
For vertex connectivity ⁴V₄, the adjacency matrix, corresponding proto-graph and edge subsets for the matrix-element combinations (a) (2 × 2)(6 × 2²), (b) (2 × 2)(2 × 2¹)(4 × 2²), (c) (2 × 2)(4 × 2¹)(2 × 2²) and (d) (2 × 2)(6 × 2¹). The matrix-element combinations (2 × 2)(2 × 2¹)(4 × 2²) and (2 × 2)(4 × 2¹)(2 × 2²) correspond to a second distinct matrix and non-isomorphic proto-graph shown in (e) and (f), respectively. The adjacency matrices and corresponding proto-graphs in (b)–(f) are not produced by the MatLabR2019b code and must be derived manually. In edge subsets, wrapped edges are italicized.

FOUNDATIONS
ADVANCES

ISSN: 2053-2733

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

https://doi.org/10.1107/S2053273322001747

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