Results 11 to 20 of about 96,216 (303)
Knots and Knot-Hyperpaths in Hypergraphs [PDF]
Mathematics, 2022 This paper deals with some theoretical aspects of hypergraphs related to hyperpaths and hypertrees. In ordinary graph theory, the intersecting or adjacent edges contain exactly one vertex; however, in the case of hypergraph theory, the adjacent or ...
Saifur Rahman +3 more
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FIBERED KNOTS AND VIRTUAL KNOTS [PDF]
Journal of Knot Theory and Its Ramifications, 2013 We introduce a new technique for studying classical knots with the methods of virtual knot theory. Let K be a knot and J be a knot in the complement of K with lk (J, K) = 0. Suppose there is covering space [Formula: see text], where V(J) is a regular neighborhood of J satisfying V(J) ∩ im (K) = ∅ and Σ is a connected compact orientable 2-manifold.
Chrisman M.W., Manturov V.O.
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Subknots in ideal knots, random knots and knotted proteins [PDF]
Scientific Reports, 2015 AbstractWe introduce disk matrices which encode the knotting of all subchains in circular knot configurations. The disk matrices allow us to dissect circular knots into their subknots, i.e. knot types formed by subchains of the global knot. The identification of subknots is based on the study of linear chains in which a knot type is associated to the ...
Rawdon, Eric J. +2 more
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New Directions in Geometric and Applied Knot Theory [PDF]
, 2022 The aim of this book is to present recent results in both theoretical and applied knot theory—which are at the same time stimulating for leading researchers in the field as well as accessible to non-experts.
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Knot direction in a khipu/alphabetic text from the Central Andes [PDF]
, 2014 Khipus are knotted-string devices that were used in the Inka Empire for communication and for recording information. We recently analyzed the names and associated khipu cords in a newly discovered hybrid khipu/alphabetic text from the Central Andes ...
Hyland, Sabine Patricia +2 more
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To Knot or Not to Knot? Sutureless Haemostasis Compared to the Surgeon's Knot [PDF]
The Annals of The Royal College of Surgeons of England, 2007 INTRODUCTION The aim of this study was to carry out an independent evaluation of the efficacy and security of a number of vessel ligation devices and ligatures. MATERIALS AND METHODS A vascular ligation model was devised using fresh, ex vivo porcine internal carotid arteries of varying external diameters.
K, Rajbabu +3 more
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Efficacy of Pseudomonas chlororaphis subsp. aureofaciens SH2 and Pseudomonas fluorescens RH43 isolates against root-knot nematodes (Meloidogyne spp.) in kiwifruit [PDF]
, 2015 The Root-knot nematodes, Meloidogyne spp., are parasites of many crops and orchards, including kiwifruit trees. The Islamic Republic of Iran is among the leading kiwifruit producers in the world and M.
Golmohammadi, Morteza +6 more
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More knots in knots: A study of classical knot diagrams [PDF]
Journal of Knot Theory and Its Ramifications, 2017 The structure of classical minimal prime knot presentations suggests that there are often, perhaps always, subsegments that present either the trefoil or the figure-eight knot. A comprehensive study of the subknots of the minimal prime knot presentations through 15 crossings shows that this is always the case for these knot presentations.
Millett, Kenneth C, Rich, Alex
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Knotting trivial knots and resulting knot types [PDF]
Pacific Journal of Mathematics, 1993 Let \((V,K)\) be a pattern (i.e. \(V\) is a standardly embedded solid torus in oriented \(S^ 3\) and \(K\) a knot in \(V\)) and \(f\) an orientation preserving embedding from \(V\) into \(S^ 3\) such that \(f(V)\) is knotted. Answers to the following questions are given depending upon whether the winding number of \(K_ 2\) in \(V\) is zero or not.
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Diameter Bounds on the Complex of Minimal Genus Seifert Surfaces for Hyperbolic Knot [PDF]
, 2007 Given a link L in the 3-sphere, one can build simplicial complexes MS(L) and IS(L), called the Kakimizu complexes. These complexes have isotopy classes of minimal genus and incompressible Seifert surfaces for L as their vertex sets and have simplicial ...
Pelayo, Roberto Carlos
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