3 papers
math.CO2024
The universal -weight system and the chromatic polynomial
M. Kazarian, N. Kodaneva, S. Lando
In a recent paper Zhuoke Yang, New approaches to weight system, Izvestiya Mathematics, 2023, vol. 77:6, 150--166; arXiv:2202.12225 (2022) a construction of a we…
math.CO2023
Polynomial graph invariants induced from the -weight system
N. Kodaneva, S. Lando
Weight systems are functions on chord diagrams satisfying so-called Vassiliev's -term relations. They are closely related to finite type knot invariants introduced by Vassiliev.…
math.CO2023
Weight systems and invariants of graphs and embedded graphs
Maxim Kazaryan, Sergei Lando
We describe recent achievements in the theory of weight systems, which are functions on chord diagrams satisfying so-called -term relations. Our main attention is devoted to con…