13 citations · 24 across the 13 of their papers we have counts for
7 papers · 1 filter
Topologically Directed Simulations Reveal the Impact of Geometric Constraints on Knotted Proteins
Agnese Barbensi, Alexander R. Klotz, Dimos Gkountaroulis
Simulations of knotting and unknotting in polymers or other filaments rely on random processes to facilitate topological changes. Here we introduce a method of \textit{topological…
An exploration of low crossing and chiral cosmetic bands with grid diagrams
Agnese Barbensi, Daniele Celoria, Christopher Ktenidis +3
We computationally explore non-coherent band attachments between low crossing number knots, using grid diagrams. We significantly improve the current H(2)-distance table. In partic…
Knot intensity distribution: a local measure of entanglement
Agnese Barbensi, Daniele Celoria
The problem of finding robust and effective methods for locating entanglement in embedded curves is relevant to both applications and theoretical investigations. Rather than focusi…
GridPyM: a Python module to handle grid diagrams
Agnese Barbensi, Daniele Celoria
Grid diagrams are a combinatorial version of classical link diagrams, widely used in theoretical, computational and applied knot theory. Motivated by questions from (bio)-physical…
-distance of knotoids and protein structure
Agnese Barbensi, Dimos Goundaroulis
Recent studies classify the topology of proteins by analysing the distribution of their projections using knotoids. The approximation of this distribution depends on the number of…
Double branched covers of knotoids
Agnese Barbensi, Dorothy Buck, Heather A. Harrington +1
By using double branched covers, we prove that there is a 1-1 correspondence between the set of knotoids in the 2-sphere, up to orientation reversion and rotation, and knots with a…
The Reidemeister graph is a complete knot invariant
Agnese Barbensi, Daniele Celoria
We describe two locally finite graphs naturally associated to each knot type K, called Reidemeister graphs. We determine several local and global properties of these graphs and pro…