Results 41 to 50 of about 95,143 (83)

Allosteric initiation and regulation of catalysis with a molecular knot

Science, 2016
V. Marcos, Alexander J. Stephens, Javier Jaramillo-García, Alina L. Nussbaumer, Steffen L. Woltering, A. Valero, Jean-François Lemonnier, I. Vitorica-Yrezabal, D. Leigh   +8 more
semanticscholar   +1 more source

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A molecular endless (74) knot

Nature Chemistry, 2020
David A Leigh, Jonathan J Danon, Stephen D P Fielden   +2 more
exaly   +2 more sources

Stereoselective synthesis of a composite knot with nine crossings

Nature Chemistry, 2018
Liang Zhang, Alexander Joseph Stephens, Jean-François Lemonnier   +2 more
exaly   +2 more sources

The Intersection Polynomials of a Virtual Knot II: Connected Sums

Journal of knot theory and its ramifications, 2023
We introduce three kinds of invariants of a virtual knot called the first, second, and third intersection polynomials. The definition is based on the intersection number of a pair of curves on a closed surface.
Ryuji Higa, Takuji Nakamura, Yasutaka Nakanishi, S. Satoh   +3 more
semanticscholar   +1 more source

Letterpress tessellation

, 2020
As the child of an engineer father, I grew up with math, science, and practical mechanics. Early on, I began collecting early twentieth-century atlases. I reveled in the changing political borders, colours, typefaces, and design. I also became interested
Dikko Faust
semanticscholar   +1 more source

Geography of Legendrian knot mosaics

Journal of knot theory and its ramifications, 2022
In this paper, mosaic tiles have been used to build knots and define invariants since they were introduced by Lomonaco and Kauffman to describe quantum knots.
Samantha Pezzimenti, Abhinav Pandey
semanticscholar   +1 more source

On closed incompressible meridionally incompressible surfaces in knot and link complements

Journal of knot theory and its ramifications, 2022
In this paper, we give a necessary condition for detecting (possibly punctured) closed incompressible meridionally incompressible surfaces in knot or link complements. This condition provides us a method to determine whether an arbitrary link is split or
Wei Lin
semanticscholar   +1 more source

Chirally Cosmetic Surgeries on Kinoshita-Terasaka and Conway knot families

Journal of knot theory and its ramifications, 2022
In this note, we prove that a nontrivial Kinoshita-Terasaka or Conway knot does not admit chirally cosmetic surgeries, by calculating the finite type invariant of order 3.
Xiliu Yang
semanticscholar   +1 more source

Computational Complexity of Graded Knot Invariant

Journal of knot theory and its ramifications
Many classical knot polynomials are defined using skein relations. For a link diagram with n crossings, direct computation has roughly exponential complexity. In this paper, the authors introduce a graded knot invariant.
Zhiqing Yang, Zichang Bao
semanticscholar   +1 more source

Topological molecular nanocarbons: All-benzene catenane and trefoil knot

Science, 2019
Carbon catenation Preparing interlocked rings and knots at the molecular scale traditionally relies on preorientation of the building blocks by nitrogen or oxygen substituents. Segawa et al.
Yasutomo Segawa, Motonobu Kuwayama, Y. Hijikata, Masako Fushimi, Taishi Nishihara, Jenny Pirillo, J. Shirasaki, Natsumi Kubota, K. Itami   +8 more
semanticscholar   +1 more source