scientific article; zbMATH DE number 791397
From MaRDI portal
zbMath0840.57001MaRDI QIDQ4844975
Publication date: 28 August 1995
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
knots3-manifoldsplanar graphsDehn surgeryAlexander polynomiallinksDNAcrossing numberJones polynomialstatistical mechanicsgenusKauffman polynomialtorus knotsSeifert surfaceHOMFLY polynomialtanglesbridge numberunknotting numberhyperbolic knotssatellite knotsArtin's braid grouptricolorability
Related Items
Linking number and folded ribbon unknots, The average genus of oriented rational links with a given crossing number, EVERY LINK IS A BOUNDARY OF A COMPLETE BIPARTITE GRAPH K2,n, Some invariants of Pretzel links, Encyclopedia of Knot Theory, Hamming Distance Kernelisation via Topological Quantum Computation, Unnamed Item, 2-Adjacency between some special links and pretzel links, The minimum number of coloring of knots, Topological transition and helicity conversion of vortex knots and links, THE THEORY OF PSEUDOKNOTS, BANDED SURFACES, BANDED LINKS, BAND INDICES AND GENERA OF LINKS, INHERENT FEATURES OF FRACTAL SETS AND KEY ATTRIBUTES OF FRACTAL MODELS, Turning Knots into Flowers and Related Undergraduate Research, Unnamed Item, Quandle coloring quivers of (p,3)-torus links, THE 2-BRIDGE KNOTS OF UP TO 16 CROSSINGS, WHERE THE LINKS–GOULD INVARIANT FIRST FAILS TO DISTINGUISH NONMUTANT PRIME KNOTS, Six Proofs of the Fáry–Milnor Theorem, Topological elementary equivalence of regular semi‐algebraic sets in three‐dimensional space, Computing a link diagram from its exterior, Knots, Diagrams and Kids’ Shoelaces. On Space and their Forms, On an alternative stratification of knots, Unknottability of spatial graphs by region crossing changes, Statics and dynamics of DNA knotting, NONALTERNATING KNOTS AND JONES POLYNOMIALS, Translocation of links through a pore: effects of link complexity and size, CLASSIFYING POLYGONAL CHAINS OF SIX SEGMENTS, SOME RESULTS ON INTRINSICALLY KNOTTED GRAPHS, INTRINSICALLY LINKED GRAPHS AND THE SATO–LEVINE INVARIANT, CLASP MOVES AND STICK NUMBER, Unnamed Item, The closure of a random braid is a hyperbolic link, A SEQUENCE OF DEGREE ONE VASSILIEV INVARIANTS FOR VIRTUAL KNOTS, LATTICE STICK NUMBERS OF SMALL KNOTS, THE ADDITIVITY OF CROSSING NUMBERS, TOPOLOGICAL HELICITY FOR FRAMED LINKS, Links and cycles in Dehn quandle homology I: Torus links, The Jones polynomial, genus and weak genus of a knot, ‘CHASING’ THE DIAGRAM—THE USE OF VISUALIZATIONS IN ALGEBRAIC REASONING, The Alexander polynomial of a rational link, ON AN INEQUALITY BETWEEN UNKNOTTING NUMBER AND CROSSING NUMBER OF LINKS, Geometry of Călugăreanu's theorem, THE LOWER BOUNDS OF THE LENGTHS OF THICK KNOTS, Natural classification of knots, On the unknotting number of minimal diagrams, Polygonal chains cannot lock in 4D, The granny and the square tangle and the unknotting number, A GEOMETRIC CHARACTERIZATION OF THE UPPER BOUND FOR THE SPAN OF THE JONES POLYNOMIAL, The almost alternating diagrams of the trivial knot, A PARTIAL ORDERING OF KNOTS AND LINKS THROUGH DIAGRAMMATIC UNKNOTTING, NON-ABELIAN REIDEMEISTER TORSION FOR TWIST KNOTS, A Survey of the Impact of Thurston’s Work on Knot Theory, A bridge between Conway–Coxeter friezes and rational tangles through the Kauffman bracket polynomials, New presentations of a link and virtual link, THE GEOMETRY OF THE DEHN COMPLEX FOR A SPATIAL GRAPH, UNKNOTTING NUMBERS OF DIAGRAMS OF A GIVEN NONTRIVIAL KNOT ARE UNBOUNDED, 2-Adjacency between some special knots and pretzel knot, ON n-PUNCTURED BALL TANGLES, Ribbonlength and crossing number for folded ribbon knots, Enhancement of the coloring invariant for folded molecular chains, Writhe-like invariants of alternating links, Lernaean knots and band surgery, The number of oriented rational links with a given deficiency number, Uncolorable Brunnian Links are Linked, Observations on BPS observables in 6D, Analysis of trapped entanglements in polymer networks., The HOMFLY polynomial of links in closed braid form, GRAVITY-ASSISTED SOLUTION OF THE MASS GAP PROBLEM FOR PURE YANG–MILLS FIELDS, On the HOMFLY polynomial of 4-plat presentations of knots, Linkless symmetric drawings of series parallel digraphs, On configurations of solid balls in 3-space: chromatic numbers and knotted cycles, The architecture of platonic polyhedral links, \(\mathrm{SU}(2)/\mathrm{SL}(2)\) knot invariants and Kontsevich-Soibelman monodromies, Invariants of random knots and links, A combinatorial representation of links by quasitoric braids, Knot Theory, From Conway Notation to LinKnot, Statistical topology and knotting of fluctuating filaments, On polynomials and surfaces of variously positive links, Topological chirality and achirality of links, Tilings of space by knotted tiles, Generating family invariants for Legendrian links of unknots, Models of random knots, Petal projections, knot colorings and determinants, A personal account of the discovery of hyperbolic structures on some knot complements, A classification of spanning surfaces for alternating links, A knot polynomial invariant for analysis of topology of RNA stems and protein disulfide bonds, Generating functions, Fibonacci numbers and rational knots, Nonlinear classical dynamics and knot invariants, A note on the subtle mean in physics., Quantum groups and Hamiltonian sets on a nuclear spacetime Cantorian manifold, A note on the Penrose-Mackay tiling, Hirzebruch signature of \(M^4\) and knots in \(\mathcal E^{(\infty)}\) space, On the \(26\)-dimensional Leech lattice and \({\mathcal E}^{(\infty)}\) nuclear space., The link component number of suspended trees, Specification of chirality for links and knots, Configuration of DNA polyhedra of truncated tetrahedron, cuboctahedron, truncated octahedron, Generating infinite links as periodic tilings of the da Vinci-Dürer knots, On triangulating three-dimensional polygons, TRIANGLE-Y EXCHANGES ON INTRINSIC KNOTTING OF ALMOST COMPLETE AND COMPLETE PARTITE GRAPHS, Interlocked open and closed linkages with few joints., Ribbonlength of families of folded ribbon knots, Asymptotics of classical spin networks. With an appendix by Don Zagier, Topological transformations of three-dimensional dissipative solitons in the framework of the generalized Ginzburg-Landau equation, Topological analysis of enzymatic actions on DNA polyhedral links, Knot theory realizations in nematic colloids, Jones diameter and crossing number of knots, A lower bound on unknotting number, Generating function polynomials for Legendrian links, The number of Reidemeister moves needed for unknotting, Enumerating reflexible 2-cell embeddings of connected graphs, The complexity of Platonic and Archimedean polyhedral links, The architecture of polyhedral links and their HOMFLY polynomials, Hamiltonian knot projections and lengths of thick knots., On the analytic complexity of discriminants, Cabling procedure for the colored HOMFLY polynomials, Pseudo-likelihood equations for Potts model on higher-order neighborhood systems: a quantitative approach for parameter estimation in image analysis, Knots of genus one or on the number of alternating knots of given genus, Knot theory based on the minimal braid in Lorenz system, On realizabilty of Gauss diagrams and constructions of meanders, On corners of objects built from parallelepiped bricks, Hydrocarbon links in an octet truss, Protein knots and fold complexity: some new twists, Molecular design of DNA polyhedra based on genus, Forms and roles of diagrams in knot theory, Can a convex polyhedron have a developable face-cycle?, Strict achirality of prime links up to 11-crossing, Rational tangles, PLANAR AND SPHERICAL STICK INDICES OF KNOTS, AN UPPER BOUND ON STICK NUMBER OF KNOTS, Menger curvature as a knot energy, Stable knots and links in electromagnetic fields, Uniqueness theorem for 5-dimensional black holes with two axial Killing fields, A graph-theoretic approach to a partial order of knots and links, Design tools for reporter strands and DNA origami scaffold strands, Knot theory in understanding proteins, Polymers with spatial or topological constraints: theoretical and computational results, Virtual knots and infinite-dimensional Lie algebras, Some applications of Tristram-Levine signatures and relation to Vassiliev invariants, Average crossing number of Gaussian and equilateral chains with and without excluded volume, Knot invariants from topological recursion on augmentation varieties, A tree distinguishing polynomial, THE INVARIANT OF n-PUNCTURED BALL TANGLES, ON CONJECTURES ABOUT POSITIVE BRAID KNOTS AND ALMOST ALTERNATING TORUS KNOTS, Independence polynomials and Alexander-Conway polynomials of plumbing links, Khovanov homology of torus links, Computing HOMFLY polynomials of 2-bridge links from 4-plat representation, HAMILTONIAN CYCLES AND ROPE LENGTHS OF CONWAY ALGEBRAIC KNOTS, Hyperbolic structures on knot complements, Knot theory in \(\mathbb{R}^4\) and the Hausdorff dimension of a quantum path in \({\mathcal E}^{(\infty)}\), Knot complement with a three sphere volume as a model for \({\mathcal E}^{(\infty)}\) spacetime, Asymptotics of intersection local time for diffusion processes, Fast algorithms for computing Jones polynomials of certain links, Unknotting and maximum unknotting numbers, Semiclassical dimensions, quantum groups and the Cantorian manifold., Upper bound on lattice stick number of knots, A note on the differential forms of \(\varepsilon^{(\infty)}\) space., On alternation numbers of links, The Jones polynomial of pretzel knots and links, Globally optimal geodesic active contours, Universal quantum computing and three-manifolds, Adsorption of lattice polymers with quenched topologies, Invariants of spin three-manifolds from Chern-Simons theory and finite-dimensional Hopf algebras, ON 2-ADJACENCY OF CLASSICAL PRETZEL KNOTS, On stick number of knots and links, On the crossing number of positive knots and braids and braid index criteria of Jones and Morton-Williams-Franks