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On Algebraic Knots II : An upper bound on their ropelength(Knots and soft-matter physics: Topology of polymers and related topics in physics, mathematics and biology)

open access: yesOn Algebraic Knots II : An upper bound on their ropelength(Knots and soft-matter physics: Topology of polymers and related topics in physics, mathematics and biology)
We prove that given a Conway algebraic link diagram D with n crossings then D can be embedded on the cubic lattice with a length bounded above by cn, where c is a positive constant independent of D and n. This implies that the ropelength of alternating Conway algebraic knots growths at most linear with their crossing number ...
openaire  

Machine learning predictions from unpredictable chaos. [PDF]

open access: yesJ R Soc Interface
Jiang J   +9 more
europepmc   +1 more source

Analytical evaluations using neural network-based method for wave solutions of combined Kairat-II-X differential equation in fluid mechanics. [PDF]

open access: yesSci Rep
Zhou P   +8 more
europepmc   +1 more source

Topological and entropic characterization of nitrogenated holey graphene. [PDF]

open access: yesSci Rep
Prabhu S   +3 more
europepmc   +1 more source

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