Kauffman-type polynomial invariants for doubly periodic structures

Date
2007-08-01
Authors
Grishanov, S. A.
Meshkov, V. R.
Omelchenko, A.
Journal Title
Journal ISSN
ISSN
0218-2165
Volume Title
Publisher
World Scientific Publishing
Peer reviewed
Abstract
Description
This paper establishes a completely new universal approach towards technology-independent description and classification of textile structures based on knot theory. Textile structures have never been considered in knot theory; likewise, textile scientists have never tried using knot theory for the characterisation of fabrics. A new polynomial invariant for textile structures has been introduced. This paper demonstrates an international excellence in research and will have a major impact on the advancement of fundamental aspects of knot theory and theory of textile material structures. The proposed method will be used in CAD systems for the engineering design of textiles for technical applications.
Keywords
RAE 2008, UoA 25 General Engineering and Mineral & Mining Engineering
Citation
Grishanov, S.A., Meshkov, V.R. and Omel'chenko, A.V. (2007) Kauffman-Type Polynomial Invariants for Doubly Periodic Structures. Journal of Knot Theory and Its Ramifications, 16(6), pp. 779-788.
Research Institute