Journal of Knot Theory and Its Ramifications

Article	Citations
Large color R-matrix for knot complements and strange identities	9
A note on representations of welded braid groups	6
Gordian complexes of knots and virtual knots given by region crossing changes and arc shift moves	6
A neural network approach to predicting and computing knot invariants	6
F-polynomials of tabulated virtual knots	5
Some remarks on twin groups	5
Polynomial invariants of singular knots and links	5
Fixing the functoriality of Khovanov homology: A simple approach	5
Knots with exactly 10 sticks	4
A diagrammatic approach for determining the braid index of alternating links	4
Generalized torsion elements and hyperbolic links	4
On Bennequin-type inequalities for links in tight contact 3-manifolds	4
Persistent homology for hypergraphs and computational tools — A survey for users	4
Torus knots obtained by negatively twisting torus knots	3
Twisted torus knots T(p,q,p − kq,−1) which are torus knots	3
The second Yang–Baxter homology for the HOMFLYPT polynomial	3
A multiple group rack and oriented spatial surfaces	3
Kauffman skein algebras and quantum Teichmüller spaces via factorization homology	3
Comparing nonorientable three genus and nonorientable four genus of torus knots	3
Knots with equal bridge index and braid index	3
On fertility of knot shadows	3
Twisted spectral correspondence and torus knots	3
Parity, virtual closure and minimality of knotoids	3
Ribbonlength and crossing number for folded ribbon knots	3
Tied links in the solid torus	2

All prime knots through 10 crossings have superbridge index ≤ 5	2
Superbridge and bridge indices for knots	2
An Alexander-type invariant for doodles	2
Multistring based matrices	2
Presentation of a ribbon 2-knot	2
Twisted torus knots T(mn + m + 1,mn + 1,mn + m + 2,−1) and T(n + 1,n,2n − 1,−1) are torus knots	2
Braid index bounds ropelength from below	2
Some remarks on the chord index	2
Determining the doubly slice genera of prime knots with up to 12 crossings	2
Rectangular knot diagrams classification with deep learning	2
Tied links in various topological settings	2
The non-orientable 4-genus for knots with 10 crossings	2
Multivariate Alexander quandles, II. The involutory medial quandle of a link (corrected)	2
String-net models for nonspherical pivotal fusion categories	2
A description of Rasmussen’s invariant from the divisibility of Lee’s canonical class	2
Multivariate Alexander quandles, I. The module sequence of a link	2
A lower bound on critical points of the electric potential of a knot	2
A diagrammatic presentation and its characterization of non-split compact surfaces in the 3-sphere	2
On two-bridge knots and a conjecture of Hirasawa–Murasugi	2
Ozsváth-Szabó d-invariants of almost simple linear graphs	2
Verification of the Jones unknot conjecture up to 24 crossings	2
Tau invariants for balanced spatial graphs	2
Functoriality of Khovanov homology	2
Genera of knots in the complex projective plane	2
??n-webs, categorification and Khovanov–Rozansky homologies	2
New computations of the superbridge index	2
Interior polynomial for signed bipartite graphs and the HOMFLY polynomial	2
DNA origami and unknotted A-trails in torus graphs	2
Decompositions of the 3-sphere and lens spaces with three handlebodies	2
Torsion in Khovanov homology of homologically thin knots	2
On realizabilty of Gauss diagrams and constructions of meanders	2
Variational formulae and estimates of O’Hara’s knot energies	2
Big data approaches to knot theory: Understanding the structure of the Jones polynomial	1
The knot invariant Υ using grid homologies	1
Black holes and topological surgery	1
Virtual mosaic knot theory	1
On knot groups acting on trees	1
The number of oriented rational links with a given deficiency number	1
Most graphs are knotted	1
The disk complex and topologically minimal surfaces in the 3-sphere	1
Legendrian satellites and decomposable cobordisms	1
Suciu’s ribbon 2-knots with isomorphic group	1
Extending quasi-alternating links	1
Palettes of Dehn colorings for spatial graphs and the classification of vertex conditions	1
Prime alternating knots of minimal warping degree two	1
Parity on based matrices	1
Knotting probability of an arc diagram	1
Integral geometric orbifolds	1
Refined Chern–Simons theory in genus two	1
Twisted cohomology pairings of knots II; to some Blanchfield pairings	1

On multiplying curves in the Kauffman bracket skein algebra of the thickened four-holed sphere	1
On arrow polynomials of checkerboard colorable virtual links	1
Multiflypes of rectangular diagrams of links	1
Explicit volume formula for a hyperbolic tetrahedron in terms of edge lengths	1
Homology of relative trisection and its applications	1
Virtual concordance and the generalized Alexander polynomial	1
A polyhedral approach to the arithmetic and geometry of hyperbolic link complements	1
The minimum number of coloring of knots	1
Hyperbolicity of augmented links in the thickened torus	1
Singquandles, psyquandles, and singular knots: A survey	1
On the lower central series of some virtual knot groups	1
On long knots in the full torus	1
Knot-theoretic flocks	1
Vertex distortion of lattice knots	1
Determinants of twisted generalized hybrid weaving knots	1
Arithmetic Chern–Simons theory with real places	1
Maps on random hypergraphs and random simplicial complexes	1
Capturing links in spatial complete graphs	1
The reduced Dijkgraaf–Witten invariant of twist knots in the Bloch group of a finite field	1
Topological symmetry groups of the Petersen graph	1
The structure of biquandle brackets	1
Anomaly-free TQFTs from the super Lie algebra ??(2|1)	1
Integral metaplectic modular categories	1
Multivariate Alexander quandles, II. The involutory medial quandle of a link	1
Raising crosscap number while lowering unknotting number	1
Fundamental heap for framed links and ribbon cocycle invariants	1
Crossing change on Khovanov homology and a categorified Vassiliev skein relation	1
Coefficients of catalan states without nesting and maximal number of returns	1
Quandle coloring quivers of links using dihedral quandles	1
Extremal Khovanov homology and the girth of a knot	1
Cuspidal edges with the same first fundamental forms along a knot	1
The knot Floer cube of resolutions and the composition product	1
Biquandle brackets and knotoids	1
The special rank of virtual knot groups	1
Refined large N duality for knots	1
Edge-preserving maps of the nonseparating curve graphs, curve graphs and rectangle preserving maps of the Hatcher–Thurston graphs	1
Diquandles and invariants for oriented dichromatic links	1
Linking numbers, quandles and groups	1
Twist moves and the affine index polynomials of virtual knots	1
Ribbonlength of twisted torus knots	1
On the potential functions for a link diagram	1
Bieberbach groups and flat manifolds with finite abelian holonomy from Artin braid groups	1
The smooth 4-genus of (the rest of) the prime knots through 12 crossings	1
Shake slice and shake concordant links	1
Connected sum of virtual knots and F-polynomials	1
From chord parity to chord index	1
Thesaurus racks: Categorizing rack objects	1
Alternating odd pretzel knots and chirally cosmetic surgeries	1
Peripheral elements in reduced Alexander modules	1
3-Manifolds with nilpotent embeddings in S4	1
Multivariate Alexander quandles, II. The involutory medial quandle of a link	1
Arrow diagrams on spherical curves and computations	1
On equivalence of symmetric union presentations for ribbon knots	1
Writhe-like invariants of alternating links	1
Weakly reducible H′-splittings of 3-manifolds	1
Torsion calculations in Khovanov cohomology	1
Mapping class group representations from Drinfeld doubles of finite groups	1
The Rohlin invariant and ℤ/2-valued invariants of homology spheres	1
State sum invariants for flat virtual links from the chord index	1
The embedded homology of hypergraph pairs	1
Non-slice 3-stranded pretzel knots	1
Restrictions on Homflypt and Kauffman polynomials arising from local moves	1
Polynomial invariants, knot homologies, and higher twist numbers of weaving knots W(3,n)	1
Equivariant annular Khovanov homology	1
A categorification of the Vandermonde determinant	1
Modified Turaev-Viro invariants from quantum ??(2|1)	1
Positive knots and weak (1, 3) homotopy	1
Non-hyperbolic solutions to tangle equations involving composite links	1
On the virtual singular braid monoid	1
Minimal grid diagrams of 11 crossing prime alternating knots	1
Goussarov–Polyak–Viro conjecture for degree three case	1
A Möbius invariant discretization of O’Hara’s Möbius energy	1
Quandle coloring quivers of (p,2)-torus links	1
The colored Jones polynomial and Kontsevich–Zagier series for double twist knots	1
Cohomological invariants of representations of 3-manifold groups	1
Canonical sphere bases for simplicial and cubical complexes	1
Torus knots and links in V1 that are invariant under the ℤm × ℤl-actions on V1 that form the quotient orbifold (A0,k)	0
Self-dual maps III: Projective links	0
Linking in tree-manifolds	0
A spinning construction for virtual 1-knots and 2-knots, and the fiberwise and welded equivalence of virtual 1-knots	0

Combinatorial knot theory and the Jones polynomial	0
On universal parity on free two-dimensional knots	0
On the uniqueness of Sarkar-Seed-Szabo construction	0
Cable knots obtained by positively twisting torus knots	0
Erratum: Decompositions of the 3-sphere and lens spaces with three handlebodies	0
Shrinking braids and left distributive monoid	0
Twisted virtual bikeigebras and twisted virtual handlebody-knots	0
Garside groups and geometry: Some thoughts for Patrick Dehornoy	0
Hyperbolic tunnel-number-one knots with Seifert-fibered Dehn surgeries	0
On classification of genus g knots which admit a (1,1)-decomposition	0
A short remembrance of Vaughan	0
Some new examples of links with the same polynomials	0
Spatial graph as connected sum of a planar graph and a braid	0
On the basic properties of GCn sets	0
Bikei module invariants of unoriented surface-links	0
One more proof of Vassiliev’s conjecture	0
Some congruence of the generalized Alexander invariant for periodic virtual links	0
A numerical invariant of oriented links	0
Jones rational coincidences	0
Petal number of torus knots using superbridge indices	0
A new polynomial criterion for periodic knots	0
Tangles in affine Hecke algebras	0
Satellite knots and trivializing bands	0
Special Issue in Memory of Patrick Dehornoy	0
Bounds in simple hexagonal lattice and classification of 11-stick knots	0
On hyperelliptic Euclidean 3-manifolds	0
Local-move identities for the ℤ[t,t−1]-Alexander polynomials of 2-links, the alinking number, and high-dimensional analogues	0
A new Garside structure on torus knot groups and some complex braid groups	0
The homological arrow polynomial for virtual links	0
Identifying non-pseudo-alternating knots by using the free factor property of minimal genus Seifert surfaces	0
3-Bridgeness under adding crossings to alternating 3-bridge knots in a 3-bridge representation	0
A free-group valued invariant of free knots	0
Group object quandles and their endomorphism nearrings	0
More 1-cocycles for classical knots	0
Annular Khovanov homology and meridional disks	0
A note on closed 3-braid knot shadows	0
New superbridge index calculations from non-minimal realizations	0
Region crossing change, bicolored diagram and Arf invariant	0
Derivatives of Jones polynomials detect delta moves in virtual knots	0
Vertex distortion detects the unknot	0
Symmetric union presentations for 2-bridge ribbon knots	0
Octahedral developing of knot complement II: Ptolemy coordinates and applications	0
Remembering Patrick Dehornoy	0
The Ma–Qiu index and the Nakanishi index for a fibered knot are equal, and ω-solvability	0
Virtual index cocycles and invariants of virtual links	0
Welded extensions and ribbon restrictions of diagrammatical moves	0
A classification of (1,1)-positions	0
Integral left-orderable surgeries on genus one fibered knots	0
Finite groups acting on hyperelliptic 3-manifolds	0
On pretzel links which are concordant to the trivial link	0
The stick number of rail arcs	0
Braids for unoriented Pretzel links	0
The action of the Kauffman bracket skein algebra of the torus on the Kauffman bracket skein module of the 3-twist knot complement	0
Multivariate Alexander quandles, IV. The medial quandle of a link	0
On inequalities between unknotting numbers and crossing numbers of spatial embeddings of trivializable graphs and handlebody-knots	0
Author index Volume 29	0
A note on the orderability of Dehn fillings of the manifold v2503	0
Alexander and Markov theorems for generalized knots, II generalized braids	0
Distinguishing surface-links described by 4-charts with two crossings and eight black vertices	0
Studying complex manifolds by using groups Gnk and Γnk	0
A class of locally indicable LOT groups	0
Good involutions of generalized Alexander quandles	0
Span of the Jones polynomials of certain v-adequate virtual links	0
On virtual cabling and a structure of 4-strand virtual pure braid group	0
Minimal generating sets of moves for surfaces immersed in the four-space	0
Quotients of the Gordian and H(2)-Gordian graphs	0
Memories of Vaughan from his student days and after	0
Twisted Alexander invariants for the braid group associated with the Tong–Yang–Ma representation	0
A combinatorial description of the LOSS Legendrian knot invariant	0
Embedding Alexander quandles into groups	0
Satellite constructions and geometric classification of Brunnian links	0
Twisted Alexander polynomials of torus links	0
Reducible surgery in lens spaces and seiferters	0
Doodles and commutator identities	0
Vaughan Jones at IHES	0
On alternating closed braids	0
The Gordian complex of theta-curves	0
New criteria and constructions of Brunnian links	0
Khovanov–Lipshitz–Sarkar homotopy type for links in thickened higher genus surfaces	0
Homflypt skein theory, string topology and 2-categories	0
Limits of the Tristram–Levine signature function	0
A note on the involutive invariants of certain pretzel knots	0
4-Move distance of knots	0
A two-variable polynomial invariant of virtual knots	0
Almost all 2-bridge knots are curly	0
HOMFLYPT homology over ℤ2 detects unlinks	0
Link-homotopy classes of 4-component links, claspers and the Habegger–Lin algorithm	0
A short proof of a theorem of Tanaka on composite knots with symmetric union presentations	0
Virtual rational tangles	0
Generating links that are both quasi-alternating and almost alternating	0
Ordering braids: In memory of Patrick Dehornoy	0
Concordance invariant Υ for balanced spatial graphs using grid homology	0
Distinguishing some genus one knots using finite quotients	0
Crosscap number three alternating knots	0
The computational complexity of classical knot recognition	0