6 citations · 6 across the 3 of their papers we have counts for
3 papers
math.CO2019★ 6 cited
Transition polynomial as a weight system for binary delta-matroids
Alexander Dunaykin, Vyacheslav Zhukov
To a singular knot K with n double points, one can associate a chord diagram with n chords. A chord diagram can also be understood as a 4-regular graph endowed with an oriented Eul…
math.CO2018
Lagrangian subspaces, delta-matroids and four-term relations
V. I. Zhukov
Finite order invariants (Vassiliev invariants) of knots are expressed in terms of weight systems, that is, functions on chord diagrams satisfying the four-term relations. Weight sy…
math.CO2016
Delta-matroids and Vassiliev invariants
Sergey Lando, Vyacheslav Zhukov
Vassiliev (finite type) invariants of knots can be described in terms of weight systems. These are functions on chord diagrams satisfying so-called 4-term relations. In the study o…