32 citations · 62 across the 22 of their papers we have counts for
28 papers
On the warping sum of knots
Slavik Jablan, Ayaka Shimizu
The warping sum of a knot is the minimal value of the sum of the warping degrees of a minimal diagram of with both orientations. In this paper, knots with $e(K)…
Delta Diagrams
Slavik Jablan, Louis H. Kauffman, Pedro Lopes
We call a Delta Diagram any diagram of a knot or link whose regions (including the unbounded one) have 3, 4, or 5 sides. We prove that any knot or link admits a delta diagram. We d…
Monoid and group of pseudo braids
Valeriy G. Bardakov, Slavik Jablan, Hang Wang
In this paper we define a monoid of pseudo braids and prove that this monoid is isomorphic to a singular braid monoid. We also prove an analogue of Markov's theorem for pseudo brai…
On the link invariants from the Yokonuma-Hecke algebras
Sergei Chmutov, Slavik Jablan, Konstantinos Karvounis +1
In this paper we study properties of the Markov trace and the specialized trace on the Yokonuma-Hecke algebras, such as behaviour under inversion of a…
The Signed Weighted Resolution Set is Not a Complete Pseudoknot Invariant
Allison Henrich, Slavik Jablan, Inga Johnson
When the signed weighted resolution set was defined as an invariant of pseudoknots, it was unknown whether this invariant was complete. Using the Gauss-diagrammatic invariants of p…
The Delunification Process and Minimal Diagrams
Slavik Jablan, Louis Kauffman, Pedro Lopes
A link diagram is said to be lune-free if, when viewed as a 4-regular plane graph it does not have multiple edges between any pair of nodes. We prove that any colored link diagram…