5 papers · 1 filter
Integer Knot Invariants: Inequalities, Computations, and Open Problems
Michal Jablonowski
We study how inequalities among integer knot invariants combine to yield new exact values and sharper constraints. A directed network of forty-seven established inequalities among…
A resistance invariant of special alternating links
Michal Jablonowski
We introduce a Laplacian trace invariant for special, reduced, alternating diagrams of oriented knots and links and show that it is determined by two consecutive coefficients at an…
Integer inequalities between knot invariants, skein tree depth and delta-crossing numbers
Michal Jablonowski
The maximum length of the shortest path from a leaf to the root of a skein tree for knots and links gives a measure of the complexity of computing link polynomials by the skein rel…
On a computation of the skein tree depth of knots and links
Michal Jablonowski
The maximum length of the shortest path from a leaf to the root of a skein tree for knots and links gives a measure of the complexity of computing link polynomials by the skein rel…
CWR sequence of invariants of alternating links and its properties
Michal Jablonowski
We present the invariant, a new invariant for alternating links, which builds upon and generalizes the invariant. The invariant is an array of two-variable polyno…