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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.CO2020★ 5 cited
The interlace polynomial of binary delta-matroids and link invariants
Nadezhda Kodaneva
In this work, we study the interlace polynomial as a generalization of a graph invariant to delta-matroids. We prove that the interlace polynomial satisfies the four-term relation…