Results 261 to 270 of about 66,871 (307)

Tropical Cyclone Exposure and Psychoactive Drug-Related Death Rates.

open access: yesJAMA Netw Open
Spriggs R   +10 more
europepmc   +1 more source

Molecular Knots [PDF]

open access: yesAngewandte Chemie - International Edition, 2017
AbstractThe first synthetic molecular trefoil knot was prepared in the late 1980s. However, it is only in the last few years that more complex small‐molecule knot topologies have been realized through chemical synthesis. The steric restrictions imposed on molecular strands by knotting can impart significant physical and chemical properties, including ...
Stephen D P Fielden   +2 more
exaly   +6 more sources

Knot Floer Homology of (1, 1)-Knots [PDF]

open access: yesGeometriae Dedicata, 2005
17 pages, 17 ...
Hiroshi Goda, Hiroshi Matsuda
exaly   +4 more sources
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Knotting fingerprints resolve knot complexity and knotting pathways in ideal knots

Journal of Physics: Condensed Matter, 2015
We use disk matrices to define knotting fingerprints that provide fine-grained insights into the local knotting structure of ideal knots. These knots have been found to have spatial properties that highly correlate with those of interesting macromolecules. From this fine structure and an analysis of the associated planar graph, one can define a measure
Hyde, David A.B.   +3 more
openaire   +3 more sources

Embedding Knots in Trivial Knots

Bulletin of the London Mathematical Society, 1982
The authors show that every knot can be embedded in codimension two in a trivial knot, and they derive corresponding theorems about embedding branched coverings in codimension two. These results (and generalizations) were obtained previously by the reviewer and by W. D. Neumann [Topology 16 (1977), no. 4, 369–393.
Gonzalez-Acuna, F.   +1 more
openaire   +1 more source

Virtual Knots with Properties of Kishino's Knot

Tokyo Journal of Mathematics, 2023
Kishino's knot is a non-trivial virtual knot that cannot be distinguished from the trivial knot by either the Jones-Kauffman polynomial or the \(n\)-writhe, where the \(n\)-writhe derived from the Gauss diagram of a virtual knot was introduced in [ \textit{S. Satoh} and \textit{K. Taniguchi}, Fundam. Math. 225, 327--341 (2014; Zbl 1302.57033)].
Ohyama, Yoshiyuki, Sakurai, Migiwa
openaire   +2 more sources

Knot graphs

Journal of Graph Theory, 2000
The equivalence classes of graphs induced by the unsigned versions of the Reidemeister moves and delta-wye moves on knot diagrams are considered. Any graph that is reducible to a graph with no edges by some finite sequence of the unsigned version of the Reidemeister graph moves is called a knot graph.
Steven D. Noble, D. J. A. Welsh
openaire   +3 more sources

Knots and Knot Types

1963
Almost everyone is familiar with at least the simplest of the common knots, e.g., the overhand knot, Figure 1, and the figure-eight knot, Figure 2. A little experimenting with a piece of rope will convince anyone that these two knots are different: one cannot be transformed into the other without passing a loop over one of the ends, i.e., without ...
Richard H. Crowell, Ralph H. Fox
openaire   +1 more source

Knot Projections and Knot Coverings

1993
In this paper, computer programs are given which draw knot diagrams, knot projections and representations of knot groups into the symmetric group of degree n.
openaire   +2 more sources

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