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

IUCr IT WDC

home archive editors for authors for readers submit subscribe open access

view article

Figure 24
For vertex connectivity ²V₂³V₂, (a) a proto-graph [identical to that shown in Fig. 20

(a)] and the corresponding vertex and edge subsets, (b) the directed proto-graph in which the 1–2, 1–3, 2–3 and 2–4 edges are 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, and (c) the resultant chain graph. (d) The directed proto-graph produced by omitting redundant unwrappings involving vertex 1 in (b), its corresponding adjacency matrix and edge subsets, and (e) the resultant chain graph. (f) The directed proto-graph produced by omitting redundant unwrappings involving vertex 3 in (b), its corresponding adjacency matrix and edge subsets, and (g) the resultant chain graph. Note that the chain graphs in (c), (e) and (g) are isomorphic. Legend as in Figs. 7

and 21

FOUNDATIONS
ADVANCES

ISSN: 2053-2733

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

https://doi.org/10.1107/S2053273322001747

Open

access

Follow Acta Cryst. A

Search IUCr Journals		doi		Advanced search
Author		volume	page