Results 1 to 10 of about 34,079 (89)

Computation of Gordian distances and H2-Gordian distances of knots [PDF]

open access: yesYugoslav Journal of Operations Research, 2015
One of the most complicated problems in Knot theory is to compute unknotting number. Hass, Lagarias and Pippenger proved that the unknotting problem is NP hard.
Zeković Ana
doaj   +1 more source

Knot topology of exceptional point and non-Hermitian no-go theorem

open access: yesPhysical Review Research, 2022
Exceptional points (EPs) are peculiar band singularities and play a vital role in a rich array of unusual optical phenomena and non-Hermitian band theory.
Haiping Hu, Shikang Sun, Shu Chen
doaj   +1 more source

Introduction to disoriented knot theory

open access: yesOpen Mathematics, 2018
This paper is an introduction to disoriented knot theory, which is a generalization of the oriented knot and link diagrams and an exposition of new ideas and constructions, including the basic definitions and concepts such as disoriented knot ...
Altıntaş İsmet
doaj   +1 more source

Metal–peptide rings form highly entangled topologically inequivalent frameworks with the same ring- and crossing-numbers

open access: yesNature Communications, 2019
For interlocking ring structures, knot theory predicts that the number of topologically different links increases with ring and crossing number. Here, the authors use a peptide folding-and-assembly strategy to selectively realize two highly entangled ...
Tomohisa Sawada   +5 more
doaj   +1 more source

The strength of surgical knots involves a critical interplay between friction and elastoplasticity. [PDF]

open access: yesSci Adv, 2023
Johanns P   +5 more
europepmc   +1 more source

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