Knots, spin models and graphs
type: Item
instance of: scholarly article
title: Knots, spin models and graphs
zbMATH Open document ID: 0859.57004
author: Martin Aigner
author: J. J. Seidel
published in: Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
publication date: 1995-11-16T00:00:00Z
review text: Starting from the Reidemeister moves for knots and links the paper discusses the spin models introduced by Jones as well as the Yang-Baxter equations. It is then the main intention of the paper two show how this approach to the problem of distinguishing knots leads in a natural way to some of the most famous open problems of combinatorics and graph theory (existence of designs, orthogonal latin squares and projective planes, existence of Hadamard matrices), by interpreting and constructing spin models in terms of graph theoretical properties. In this context, also the Jones and Kauffman polynomials are discussed.
Mathematics Subject Classification ID: 57M25
Mathematics Subject Classification ID: 05C99
zbMATH DE Number: 817223
zbMATH Keywords: Reidemeister moves
zbMATH Keywords: knots
zbMATH Keywords: links
zbMATH Keywords: spin models
zbMATH Keywords: Yang-Baxter equations
reviewed by: Bruno Zimmermann
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 817223