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 14
For vertex connectivity ²V₂³V₂, (a) the adjacency matrix [1] for the matrix-element combination (10 × 1), the corresponding proto-graph, the characteristic polynomial equations of the reduced proto-graphs and the resulting vertex subsets; (b), (c) and (d) three permutated versions of this adjacency matrix and proto-graph. The characteristic polynomial equations of the reduced adjacency matrices are identical, confirming that these adjacency matrices correspond to isomorphic proto-graphs.

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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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