3 papers
math.CO2025
Polynomial invariants of cyclically ordered graphs
Paul Bratch, M. N. Ellingham, Joanna A. Ellis-Monaghan +2
Cyclically ordered graphs, or cogs, sit between abstract graphs and cellularly embedded graphs. They arise naturally in topological graph theory, knot theory, and mathematical biol…
math.GT2024
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…
math.GT2022
On Vassiliev Invariants of Virtual Knots
Wout Moltmaker, Louis H. Kauffman
We discuss Vassiliev invariants for virtual knots, expanding upon the theory of quantum virtual knot invariants developed in arXiv:1509.00578. In particular, following the theory o…