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 20
For vertex connectivity ²V₂³V₂, (a) a proto-graph for the matrix-element combination (10 × 1) and its vertex and edge subsets, (b) the directed proto-graph in which the 1–2 edge (of edge subset [2]) has been assigned as wrapped in the +c direction, and (c) the resultant chain graph. (d) The directed proto-graph in which the 2–3 edge (of edge subset [1]) has been assigned as wrapped in the +c direction, and (e) the resultant chain graph. Note how unwrapping single edges that belong to different edge subsets results in non-isomorphic chain graphs. Legend as in Fig. 7

; the green and red arrows on the curved 1–2 and 2–3 edges denote the directions in which the edge is to be unwrapped: green = in the +c direction, red = in the −c direction.

FOUNDATIONS
ADVANCES

ISSN: 2053-2733

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

https://doi.org/10.1107/S2053273322001747

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