150 citations · 522 across the 88 of their papers we have counts for
5 papers · 1 filter
On the rack homology of graphic quandles
Sujoy Mukherjee, Józef H. Przytycki
This paper has partially a novel and partially a survey character. We start with a short review of rack (two term) homology of self distributive algebraic structures (shelves) and…
Catalan States of Lattice Crossing: Application of Plucking Polynomial
Mieczyslaw K. Dabkowski, Jozef H. Przytycki
For a Catalan state of a lattice crossing with no returns on one side, we find its coefficient in the Relative Kauffman Bracket Skein…
The first coefficient of Homflypt and Kauffman polynomials: Vertigan proof of polynomial complexity using dynamic programming
Jozef H. Przytycki
We describe the polynomial time complexity algorithm for computing first coefficients of the skein (Homflypt) and Kauffman polynomial invariants of links, discovered by D.Vertigan…
Rooted trees with the same plucking polynomial
Zhiyun Cheng, Sujoy Mukherjee, Jozef Przytycki +2
In this paper we give a sufficient and necessary condition for two rooted trees with the same plucking polynomial. Furthermore, we give a criteria for a sequence of non-negative in…
Search for torsion in Khovanov homology
Sujoy Mukherjee, Józef H. Przytycki, Marithania Silvero +2
In the Khovanov homology of links, presence of -torsion is a very common phenomenon. Finite number of examples of knots with -torsion for were als…