Zobrazeno 1 - 7
of 7
pro vyhledávání: '"Hyungkee Yoo"'
A petal projection of a knot [Formula: see text] is a projection of a knot which consists of 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 m
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9fc702409e4dc5c59c84ee214045b39f
http://arxiv.org/abs/2209.14702
http://arxiv.org/abs/2209.14702
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:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d364dffd5fcb21b5969b1142024efd16
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:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::956264eec4a70b1d845d3258203d263c
Publikováno v:
Journal of Physics A: Mathematical and Theoretical. 55:435207
A theta-curve is an embedding of the Greek letter Θ shaped graph in three-dimensional space. This is a useful physical model for polymer chains since theta-curve motifs are often present in many circular proteins with internal bridges. A Brunnian th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0c095ca984ea03c73c2bf91ad7a1746f
https://doi.org/10.1088/1751-8121/ac845a
https://doi.org/10.1088/1751-8121/ac845a
Publikováno v:
Journal of Physics A: Mathematical and Theoretical. 54:455204
Knots and embedded graphs are useful models for simulating polymer chains. In particular, a theta curve motif is present in a circular protein with internal bridges. A theta-curve is a graph embedded in three-dimensional space which consists of three
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6456c1411cf11b88b555259d6e32b72e
https://doi.org/10.1088/1751-8121/ac2ae9
https://doi.org/10.1088/1751-8121/ac2ae9
The lattice stick number of knots is defined to be the minimal number of straight sticks in the cubic lattice required to construct a lattice stick presentation of the knot. We similarly define the lattice stick number [Formula: see text] of spatial
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::62f053f6b7937e03f9189502e583c53e
http://arxiv.org/abs/1806.09720
http://arxiv.org/abs/1806.09720
Publikováno v:
Journal of Knot Theory and Its Ramifications. 27:1850044
In this paper, we introduce a bisected vertex leveling of a plane graph. Using this planar embedding, we present elementary proofs of the well-known upper bounds in terms of the minimal crossing number on braid index [Formula: see text] and arc index
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c3f633771aea70b4cbf2d5ce7a1c1251
https://doi.org/10.1142/s021821651850044x
https://doi.org/10.1142/s021821651850044x