26 citations · 59 across the 6 of their papers we have counts for
6 papers
A parallel algorithm for the computation of the Jones polynomial
Kasturi Barkataki, Eleni Panagiotou
Knots, links and entangled filaments appear in many physical systems of interest in biology and engineering. Classifying knots and measuring entanglement is of interest both for ad…
The Virtual Spectrum of Linkoids and Open Curves in 3-space
Kasturi Barkataki, Louis H. Kauffman, Eleni Panagiotou
The entanglement of open curves in 3-space appears in many physical systems and affects their material properties and function. A new framework in knot theory was introduced recent…
The Jones polynomial in systems with Periodic Boundary Conditions
Kasturi Barkataki, Eleni Panagiotou
Entanglement of collections of filaments arises in many contexts, such as in polymer melts, textiles and crystals. Such systems are modeled using periodic boundary conditions (PBC)…
The Jones polynomial of collections of open curves in 3-space
Kasturi Barkataki, Eleni Panagiotou
Measuring the entanglement complexity of collections of open curves in 3-space has been an intractable, yet pressing mathematical problem, relevant to a plethora of physical system…
Vassiliev measures of complexity for open and closed curves in 3-space
Eleni Panagiotou, Louis H. Kauffman
In this manuscript we define Vassiliev measures of complexity for open curves in 3-space. These are related to the coefficients of the enhanced Jones polynomial of open curves in 3…
Knot polynomials of open and closed curves
Eleni Panagiotou, Louis H. Kauffman
In this manuscript we introduce a method to measure entanglement of curves in 3-space that extends the notion of knot and link polynomials to open curves. We define the bracket pol…