Zobrazeno 1 - 10
of 133
pro vyhledávání: '"Kim, Hyoungjun"'
A knotted ribbon is one of physical aspect of a knot. A folded ribbon knot is a depiction of a knot obtained by folding a long and thin rectangular strip to become flat. The ribbonlength of a knot type can be defined as the minimum length required to
Externí odkaz:
http://arxiv.org/abs/2409.13572
The linking number of an oriented two-component link is an invariant indicating how intertwined the two components are. Tuler proved that the linking number of a two-component rational $\frac{p}{q}$-link is $$\sum^{\frac{|p|}{2}}_{k=1} (-1)^{\big\lfl
Externí odkaz:
http://arxiv.org/abs/2403.11512
A petal projection of a knot $K$ is a projection of a knot which consists of a single multi-crossing and non-nested loops. Since a petal projection gives a sequence of natural numbers for a given knot, the petal projection is a useful model to study
Externí odkaz:
http://arxiv.org/abs/2209.14702
Chirality is one of the important assymmetrical property in wide area of natural science, which has been studied to predict molecular behavior. One of good methods to analyze molecules with complex structures is representing them as graphs embedded i
Externí odkaz:
http://arxiv.org/abs/2208.09241
The ribbonlength Rib$(K)$ of a knot $K$ is the infimum of the ratio of the length of any flat knotted ribbon with core $K$ to its width. A twisted torus knot $T_{p,q;r,s}$ is obtained from the torus knot $T_{p,q}$ by twisting $r$ adjacent strands $s$
Externí odkaz:
http://arxiv.org/abs/2208.03676
A ribbon is a two-dimensional object with one-dimensional properties which is related with geometry, robotics and molecular biology. A folded ribbon structure provides a complex structure through a series of folds. We focus on a folded ribbon with kn
Externí odkaz:
http://arxiv.org/abs/2208.03669
Autor:
Kim, Hyoungjun, Mattman, Thomas W.
The Graph Minor Theorem of Robertson and Seymour implies a finite set of obstructions for any minor closed graph property. We show that there are only three obstructions to knotless embedding of size 23, which is far fewer than the 92 of size 22 and
Externí odkaz:
http://arxiv.org/abs/2205.14255
A graph is intrinsically knotted if every embedding contains a nontrivially knotted cycle. It is known that intrinsically knotted graphs have at least 21 edges and that there are exactly 14 intrinsically knotted graphs with 21 edges, in which the Hea
Externí odkaz:
http://arxiv.org/abs/2205.06199
Publikováno v:
In Ain Shams Engineering Journal July 2024 15(7)
Molecular chirality is actively researched in a variety of areas of biology, including biochemistry, physiology, pharmacology, etc., and today many chiral compounds are widely known to exhibit biological properties. The molecular structure is represe
Externí odkaz:
http://arxiv.org/abs/2005.05161