Results 191 to 200 of about 38,049 (200)

Coefficients of catalan states without nesting and maximal number of returns

Journal of knot theory and its ramifications, 2022
We find and study properties of the coefficients [Formula: see text] and [Formula: see text] of Catalan states with the maximal number of returns and no nesting in the Kauffman bracket sum of an [Formula: see text] lattice crossing [Formula: see text ...
M. Dabkowski, A. D. Merrill
semanticscholar   +1 more source

The “unknotting number” associated with other local moves than the crossing-change

Journal of knot theory and its ramifications, 2018
The ordinary unknotting number of 1-dimensional knots, which is defined by using the crossing-change, is a very basic and important invariant. Let [Formula: see text] be a positive integer.
Eiji Ogasa
semanticscholar   +1 more source

Generating functions on epimorphisms between 2-bridge knot groups

Journal of knot theory and its ramifications, 2020
We have the generating function which determines the number of $2$-bridge knot groups admitting epimorphisms onto the knot group of a given $2$-bridge knot, in terms of crossing number.
Masaaki Suzuki
semanticscholar   +1 more source

Pairs of knot invariants

Journal of knot theory and its ramifications
Let $\alpha$ be a map from the set of all knot types ${\mathcal K}$ to a set $X$. Let $\beta$ be a map from ${\mathcal K}$ to a set $Y$. We define the relation between $\alpha$ and $\beta$ to be the image of a map $(\alpha,\beta)$ from ${\mathcal K}$ to $
Kouki Taniyama
semanticscholar   +1 more source

Classification of doubly periodic untwisted (p,q)-weaves by their crossing number and matrices

Journal of knot theory and its ramifications, 2023
Mizuki Fukuda, Motoko Kotani, Sonia Mahmoudi   +2 more
semanticscholar   +1 more source

Physical and Numerical Models in Knot Theory: Including Applications to the Life Sciences

, 2005
Physical Knot Theory: Universal Energy Spectrum of Tight Knots and Links in Physics (R Buniy & T Kephart) Three Knotty Ideas in Geometry: Pearl-Number, Ropelength and Rope Packing (R Kusner & W Kusner) A Tutorial on Knot Energies (E J J van Rensburg ...
J. A. Calvo, K. Millett, E. Rawdon, A. Stasiak   +3 more
semanticscholar   +1 more source

Quasoids in Knot Theory

Proceedings of the Steklov Institute of Mathematics, 2018
F. Korablev
semanticscholar   +2 more sources

Estimating the self-intersection number of closed curves on surface by knot method

Geometriae Dedicata, 2015
Xinming Yan
semanticscholar   +2 more sources

Average crossing number of Gaussian and equilateral chains with and without excluded volume

, 2008
P. Diesinger, D. Heermann
semanticscholar   +1 more source

Classical Numerical Invariants in Knot Theory

, 1993
K. Murasugi
semanticscholar   +1 more source