7 citations · 12 across the 5 of their papers we have counts for
5 papers
Writhe-Based Polymer Link Classification Using Machine Learning
Jack Beda, Djordje Mihajlovic, Kasturi Barkataki +1
Unique and rapid classification of knots and links is an open mathematical problem that is relevant to a range of (bio)physical systems, including polymer melts, DNA, and proteins.…
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…