Denis Petrovich Ilyutko

  1. Graph-Links.

    Authors: Vassily Olegovich Manturov, Denis Petrovich Ilyutko
    Subjects: Geometric Topology
    Abstract

    The present paper is a review of the current state of Graph-Link Theory
    (graph-links are also closely related to homotopy classes of looped
    interlacement graphs), dealing with a generalisation of knots obtained by
    translating the Reidemeister moves for links into the language of intersection
    graphs of chord diagrams. In this paper we show how some methods of classical
    and virtual knot theory can be translated into the language of abstract graphs,
    and some theorems can be reproved and generalised to this graphical setting.

Syndicate content