UNKNOTTING VIRTUAL KNOTS WITH GAUSS DIAGRAM FORBIDDEN MOVES
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Publication:4541053
DOI10.1142/S0218216501001244zbMath0997.57016arXivmath/0007015OpenAlexW2159435424MaRDI QIDQ4541053
Publication date: 30 July 2002
Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0007015
Related Items (51)
Unknotting twisted knots with Gauss diagram forbidden moves ⋮ JONES POLYNOMIAL INVARIANTS ⋮ Derivatives of Jones polynomials detect delta moves in virtual knots ⋮ Unrestricted virtual braids, fused links and other quotients of virtual braid groups ⋮ An affine index polynomial invariant and the forbidden move of virtual knots ⋮ TWIN GROUPS OF VIRTUAL 2-BRIDGE KNOTS AND ALMOST CLASSICAL KNOTS ⋮ VIRTUAL ARC PRESENTATIONS AND HC-MOVES OF RIBBON 2-KNOTS ⋮ Alexander and writhe polynomials for virtual knots ⋮ Virtual links in arbitrary dimensions ⋮ Arc shift number and region arc shift number for virtual knots ⋮ The pass move is an unknotting operation for welded knots ⋮ New invariants of knotoids ⋮ Delta moves and Kauffman polynomials of virtual knots ⋮ Alexander and Markov theorems for generalized knots, I ⋮ Alexander and Markov theorems for generalized knots, II generalized braids ⋮ Forbidden detour number on virtual knot ⋮ Virtual multicrossings and petal diagrams for virtual knots and links ⋮ On the swap move of letters in words and the forbidden moves in virtual diagrams ⋮ The H(n)-move is an unknotting operation for virtual and welded links ⋮ Delta Moves and Arrow Polynomials of Virtual Knots ⋮ Virtual unknotting numbers of certain virtual torus knots ⋮ Linking invariants of even virtual links ⋮ Two definitions of the bridge index of a welded knot ⋮ Classification of 2-component virtual links up to ${\varXi }$-moves ⋮ PERMUTATION AND ITS PARTIAL TRANSPOSE ⋮ On the unknotting number of a welded knot ⋮ Parity in knot theory and graph-links ⋮ Unnamed Item ⋮ Nonplanar graphs derived from Gauss codes of virtual knots and links ⋮ Reidemeister moves in Gauss diagrams ⋮ CLASSICAL AND VIRTUAL PSEUDODIAGRAM THEORY AND NEW BOUNDS ON UNKNOTTING NUMBERS AND GENUS ⋮ Twisted link theory ⋮ VIRTUAL CROSSING REALIZATION ⋮ RIBBON TORUS KNOTS PRESENTED BY VIRTUAL KNOTS WITH UP TO FOUR CROSSINGS ⋮ On groups Gnk and Γnk: A study of manifolds, dynamics, and invariants ⋮ AN ESTIMATE OF THE UNKNOTTING NUMBERS FOR VIRTUAL KNOTS BY FORBIDDEN MOVES ⋮ Generalized virtualization on welded links ⋮ Unnamed Item ⋮ BIQUANDLES OF SMALL SIZE AND SOME INVARIANTS OF VIRTUAL AND WELDED KNOTS ⋮ A family of polynomial invariants for virtual knots ⋮ Planar diagrams for local invariants of graphs in surfaces ⋮ Enumeration of ribbon 2-knots presented by virtual arcs with up to four crossings ⋮ An unknotting invariant for welded knots ⋮ Higher-order finite type invariants of classical and virtual knots and unknotting operations ⋮ VIRTUAL BRAIDS AND THE L-MOVE ⋮ A LOWER BOUND FOR THE NUMBER OF FORBIDDEN MOVES TO UNKNOT A LONG VIRTUAL KNOT ⋮ Classification of virtual string links up to cobordism ⋮ THE GORDIAN COMPLEX OF VIRTUAL KNOTS BY FORBIDDEN MOVES ⋮ ON A LOCAL MOVE FOR VIRTUAL KNOTS AND LINKS ⋮ Alexander invariants for virtual knots ⋮ Virtual knots and links
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