An upper bound of arc index of links
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Publication:4761329
DOI10.1017/S0305004100004576zbMath0966.57009OpenAlexW2106403010MaRDI QIDQ4761329
Publication date: 12 August 2001
Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s0305004100004576
open bookalternating linksKauffmann polynomialarc presentations of linksminimal crossing number of a linkwheel diagrams of links
Related Items (33)
PRIME KNOTS WHOSE ARC INDEX IS SMALLER THAN THE CROSSING NUMBER ⋮ ARC INDEX OF NON-ALTERNATING LINKS ⋮ Minimal grid diagrams of the prime alternating knots with 12 crossings ⋮ Equilateral stick number of knots ⋮ Minimum lattice length and ropelength of knots ⋮ Arc index via the alternating tangle decomposition ⋮ Rectangular Seifert circles and arcs system ⋮ Bisected vertex leveling of plane graphs: Braid index, arc index and delta diagrams ⋮ Lattice stick number of spatial graphs ⋮ CUBE NUMBER CAN DETECT CHIRALITY AND LEGENDRIAN TYPE OF KNOTS ⋮ ON ARC INDEX AND MAXIMAL THURSTON–BENNEQUIN NUMBER ⋮ STICK INDEX OF KNOTS AND LINKS IN THE CUBIC LATTICE ⋮ An introduction to knot Floer homology ⋮ Stick number of spatial graphs ⋮ Mutation invariance of the arc index for some montesinos knots ⋮ Upper bounds for ropelength as a function of crossing number. ⋮ On the arc index of Kanenobu knots ⋮ An infinite family of Legendrian torus knots distinguished by cube number ⋮ AN UPPER BOUND ON STICK NUMBER OF KNOTS ⋮ Arc presentations of Montesinos links ⋮ Mosaic number of knots ⋮ PRIME KNOTS WITH ARC INDEX UP TO 11 AND AN UPPER BOUND OF ARC INDEX FOR NON-ALTERNATING KNOTS ⋮ Arc index of pretzel knots of type (-𝑝,𝑞,𝑟) ⋮ Minimal grid diagrams of 11 crossing prime alternating knots ⋮ Stick numbers of 2-bridge knots and links ⋮ Flat plumbing basket and contact structure ⋮ Stick numbers of Montesinos knots ⋮ A TABULATION OF PRIME KNOTS UP TO ARC INDEX 11 ⋮ Upper bound on lattice stick number of knots ⋮ A circular embedding of a graph in Euclidean 3-space ⋮ Ribbonlength and crossing number for folded ribbon knots ⋮ Knot projections with a single multi-crossing ⋮ ON THE PRESENTATION OF A LINK AS A SUM OF TWO DESCENDING TANGLE DIAGRAMS
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