54 citations · 65 across the 11 of their papers we have counts for
16 papers
Thistlethwaite Theorems for Knotoids and Linkoids
Sergei Chmutov, Qingying Deng, Joanna A. Ellis-Monaghan +2
The classical Thistlethwaite theorem for links can be phrased as asserting that the Kauffman bracket of a link can be obtained from an evaluation of the Bollobás-Riordan polynomial…
Partial duality for ribbon graphs
Sergei Chmutov
This is an expository paper extending the tutorial talk at the MATRIX Workshop on Uniqueness and Discernment in Graph Polynomials in October 2023. The explanation is mainly based o…
Partial-dual genus polynomial as a weight system
Sergei Chmutov
We prove that the partial-dual genus polynomial considered as a function on chord diagrams satisfies the four-term relation. Thus it is a weight system from the theory of Vassiliev…
On a conjecture of Gross, Mansour and Tucker
Sergei Chmutov, Fabien Vignes-Tourneret
Partial duality is a duality of ribbon graphs relative to a subset of their edges generalizing the classical Euler-Poincare duality. This operation often changes the genus. Recentl…
Polynomial graph invariants and the KP hierarchy
Sergei Chmutov, Maxim Kazarian, Sergey Lando
We prove that the generating function for the symmetric chromatic polynomial of all connected graphs satisfies (after appropriate scaling change of variables) the Kadomtsev--Petvia…
Topological Tutte Polynomial
Sergei Chmutov
This is a survey recent works on topological extensions of the Tutte polynomial.