KAUFFMAN-TYPE POLYNOMIAL INVARIANTS FOR DOUBLY PERIODIC STRUCTURES-Reference-Cited by-同舟云学术

KAUFFMAN-TYPE POLYNOMIAL INVARIANTS FOR DOUBLY PERIODIC STRUCTURES

Published:2007-08 Issue:06 Volume:16 Page:779-788
ISSN:0218-2165
Container-title:Journal of Knot Theory and Its Ramifications
language:en
Short-container-title:J. Knot Theory Ramifications

Author:

GRISHANOV SERGEI A.¹,MESHKOV VADIM R.²,OMEL'CHENKO ALEXANDER V.³

Affiliation:

1. De Montfort University, Leicester, UK

2. St.-Petersburg State Polytechnical University, St.-Petersburg, Russia

3. St.-Petersburg State University of Technology and Design, St.-Petersburg, Russia

Abstract

A two-variable polynomial invariant of non-oriented doubly periodic structures is proposed. A possible application of this polynomial for the classification of textile structures is suggested.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S021821650700549X

Reference12 articles.

1. V. V. Prasolov and A. B. Sossinsky, Knots, Links, Braids and 3-Manifolds (American Mathematical Society, 1997) p. 239.

2. D. J. Spencer, Knitting Technology : A Comprehensive Handbook and Practical Guide, 3rd edn. (Woodhead Publishing, Cambridge, 2001) p. 386.

3. S. Hollingsworth, A Compendium of Knitted Stitch Patterns (Batsford, London, 1985) p. 192.

4. Study of the Mathematical Model for Fabric Weave Design and its Applications

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