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- Title
Construction of weavings in the plane.
- Authors
Miro, Eden Delight; Zambrano, Aliw-iw; Garciano, Agnes
- Abstract
This work develops, in graph-theoretic terms, a methodology for systematically constructing weavings of overlapping nets derived from 2-colorings of the plane. From a 2-coloring, two disjoint simple, connected graphs called nets are constructed. The union of these nets forms an overlapping net, and a weaving map is defined on the intersection points of the overlapping net to form a weaving. Furthermore, a procedure is given for the construction of mixed overlapping nets and for deriving weavings from them.
- Subjects
WEAVING; GRAPH coloring; GRAPH connectivity; MATHEMATICAL models
- Publication
Acta Crystallographica. Section A, Foundations & Advances, 2018, Vol 74, Issue 1, p1
- ISSN
2053-2733
- Publication type
Article
- DOI
10.1107/S205327331701422X