Journal of Knot Theory and Its Ramifications

Article	Citations
Large color R-matrix for knot complements and strange identities	10
A diagrammatic approach for determining the braid index of alternating links	6
Fixing the functoriality of Khovanov homology: A simple approach	6
Persistent homology for hypergraphs and computational tools — A survey for users	5
Parity, virtual closure and minimality of knotoids	5
Polynomial invariants of singular knots and links	5
On multiplying curves in the Kauffman bracket skein algebra of the thickened four-holed sphere	5
On two-bridge knots and a conjecture of Hirasawa–Murasugi	4
Kauffman skein algebras and quantum Teichmüller spaces via factorization homology	3
Torsion in Khovanov homology of homologically thin knots	3
Knots with equal bridge index and braid index	3
Torus knots obtained by negatively twisting torus knots	3
Quandle coloring quivers of (p,2)-torus links	3
Rectangular knot diagrams classification with deep learning	3
Verification of the Jones unknot conjecture up to 24 crossings	3
Classification of doubly periodic untwisted (p,q)-weaves by their crossing number and matrices	3
Weakly reducible H′-splittings of 3-manifolds	3
The second Yang–Baxter homology for the HOMFLYPT polynomial	3
Ribbonlength and crossing number for folded ribbon knots	3
New computations of the superbridge index	3
An Alexander-type invariant for doodles	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
Legendrian satellites and decomposable cobordisms	2
Determinants of twisted generalized hybrid weaving knots	2
Coefficients of catalan states without nesting and maximal number of returns	2

Polynomial invariants, knot homologies, and higher twist numbers of weaving knots W(3,n)	2
Goussarov–Polyak–Viro conjecture for degree three case	2
A polyhedral approach to the arithmetic and geometry of hyperbolic link complements	2
The non-orientable 4-genus for knots with 10 crossings	2
Arrow diagrams on spherical curves and computations	2
Multivariate Alexander quandles, II. The involutory medial quandle of a link (corrected)	2
Peripheral elements in reduced Alexander modules	2
Ribbonlength of twisted torus knots	2
Twisted cohomology pairings of knots II; to some Blanchfield pairings	2
A lower bound on critical points of the electric potential of a knot	2
The tightest knot is not necessarily the smallest	2
A diagrammatic presentation and its characterization of non-split compact surfaces in the 3-sphere	2
Quandle coloring quivers of links using dihedral quandles	2
Tied links in the solid torus	2
Singquandles, psyquandles, and singular knots: A survey	2
Big data approaches to knot theory: Understanding the structure of the Jones polynomial	2
Arithmetic Chern–Simons theory with real places	2
From chord parity to chord index	2
Anomaly-free TQFTs from the super Lie algebra ??(2|1)	2
Characterizing slopes for torus knots, II	2
Homology of relative trisection and its applications	2
Virtual concordance and the generalized Alexander polynomial	2
Multiflypes of rectangular diagrams of links	2
Decompositions of the 3-sphere and lens spaces with three handlebodies	2
Quandle coloring quivers of (p,3)-torus links	2
Determining the doubly slice genera of prime knots with up to 12 crossings	2
Tied links in various topological settings	2
The colored Jones polynomial and Kontsevich–Zagier series for double twist knots	2
All prime knots through 10 crossings have superbridge index ≤ 5	2
Superbridge and bridge indices for knots	2
On the virtual singular braid monoid	2
Diquandles and invariants for oriented dichromatic links	2
Periods of continued fractions and volumes of modular knots complements	1
Integral geometric orbifolds	1
On equivalence of symmetric union presentations for ribbon knots	1
The knot invariant Υ using grid homologies	1
Virtual multicrossings and petal diagrams for virtual knots and links	1
The disk complex and topologically minimal surfaces in the 3-sphere	1
The embedded homology of hypergraph pairs	1
Personal recollection of Vaughan F. R. Jones (1952–2020)	1
Explicit volume formula for a hyperbolic tetrahedron in terms of edge lengths	1
Some computations on instanton knot homology	1
Virtual index cocycles and invariants of virtual links	1
Bieberbach groups and flat manifolds with finite abelian holonomy from Artin braid groups	1
Narrowing the gap between combinatorial and hyperbolic knot invariants via deep learning	1
Twist moves and the affine index polynomials of virtual knots	1
On the potential functions for a link diagram	1
Virtual mosaic knot theory	1
Describing realizable Gauss diagrams using the concepts of parity or bipartite graphs	1
Group presentations for links in thickened surfaces	1

2-knot homology and Roseman move	1
Petal number of torus knots of type (r,r + 2)	1
Capturing links in spatial complete graphs	1
The minimum number of coloring of knots	1
On the periodic non-orientable 4-genus a knot	1
The complement problem for linklessly embeddable graphs	1
Cohomological invariants of representations of 3-manifold groups	1
Palettes of Dehn colorings for spatial graphs and the classification of vertex conditions	1
Maps on random hypergraphs and random simplicial complexes	1
The Rohlin invariant and ℤ/2-valued invariants of homology spheres	1
Writhe-like invariants of alternating links	1
On arrow polynomials of checkerboard colorable virtual links	1
Non-slice 3-stranded pretzel knots	1
Symmetric union presentations for 2-bridge ribbon knots	1
Knot invariants for rail knotoids	1
Khovanov–Lipshitz–Sarkar homotopy type for links in thickened higher genus surfaces	1
Petal number of torus knots using superbridge indices	1
Linking numbers, quandles and groups	1
Alternating odd pretzel knots and chirally cosmetic surgeries	1
Unknotting twisted knots with Gauss diagram forbidden moves	1
The reduced Dijkgraaf–Witten invariant of twist knots in the Bloch group of a finite field	1
Extremal Khovanov homology and the girth of a knot	1
Canonical sphere bases for simplicial and cubical complexes	1
Regular projections of the link L6n1	1
The unrestricted virtual braid groups UV Bn	1
B-type Catalan states of lattice crossing	1
3-Manifolds with nilpotent embeddings in S4	1
The smooth 4-genus of (the rest of) the prime knots through 12 crossings	1
Fundamental heap for framed links and ribbon cocycle invariants	1
Structures of homomorphisms induced by arc selection game and arc freeze selection game	1
Vertex distortion of lattice knots	1
Parity on based matrices	1
Topological symmetry groups of the Petersen graph	1
Alexander and Markov theorems for generalized knots, II generalized braids	1
Parity functors	1
A categorification of the Vandermonde determinant	1
Equivariant annular Khovanov homology	1
On universal parity on free two-dimensional knots	1
A note on closed 3-braid knot shadows	1
Lefschetz open book decompositions of 4-manifolds	1
Connected sum of virtual knots and F-polynomials	1
Hyperbolicity of augmented links in the thickened torus	1
Non-hyperbolic solutions to tangle equations involving composite links	1
Biquandle brackets and knotoids	1
On long knots in the full torus	1
Most graphs are knotted	1
Almost all strongly quasipositive braid closures are fibered	1
Thesaurus racks: Categorizing rack objects	1
A Möbius invariant discretization of O’Hara’s Möbius energy	1
Unknotting operations on knots and links	1
The number of oriented rational links with a given deficiency number	1
Bounds in simple hexagonal lattice and classification of 11-stick knots	0
Odd annular Bar-Natan category and ??(1|1)	0
Infinitely many arithmetic alternating links: Class number greater than one	0
A two-variable polynomial invariant of virtual knots	0
Connected sum and crossing numbers of flat virtual knots	0
On hyperelliptic Euclidean 3-manifolds	0
A new polynomial criterion for periodic knots	0
Lescop invariants of both the Brieskorn-Hamm manifolds and 3-manifolds obtained by Dehn surgeries on knots	0
The homological arrow polynomial for virtual links	0
Families of curly knots	0
A class of locally indicable LOT groups	0
Good involutions of generalized Alexander quandles	0
Legendrian negative torus knots in universally tight lens spaces	0
More 1-cocycles for classical knots	0
HOMFLYPT homology over ℤ2 detects unlinks	0
Minimal generating sets of moves for surfaces immersed in the four-space	0
Knot quandle decomposition along a torus	0
Satellite constructions and geometric classification of Brunnian links	0
Bilinear enhancements of quandle invariants	0
A free-group valued invariant of free knots	0
Derivatives of Jones polynomials detect delta moves in virtual knots	0
Embedding Alexander quandles into groups	0
Doodles and commutator identities	0
Quandle coloring quivers of surface-links	0
Annular Khovanov homology and meridional disks	0
Octahedral developing of knot complement II: Ptolemy coordinates and applications	0
The Gordian complex of theta-curves	0
Arc crossing change is an unknotting operation	0
On the uniqueness of Sarkar-Seed-Szabo construction	0

Spatial graph as connected sum of a planar graph and a braid	0
Welded extensions and ribbon restrictions of diagrammatical moves	0
A visit in Valparaíso	0
Peripheral elements in reduced Alexander modules: An addendum	0
4-Move distance of knots	0
The one-row-colored ??3 Jones polynomials for pretzel links	0
Ordering braids: In memory of Patrick Dehornoy	0
Concordance invariant Υ for balanced spatial graphs using grid homology	0
Some generalizations of Satoh’s Tube map	0
The Ma–Qiu index and the Nakanishi index for a fibered knot are equal, and ω-solvability	0
Braids for unoriented Pretzel links	0
Link-homotopy classes of 4-component links, claspers and the Habegger–Lin algorithm	0
One more proof of Vassiliev’s conjecture	0
Notes on multiplier Hopf algebras and invariants of framed links and 3-manifolds	0
Tangles in affine Hecke algebras	0
On inequalities between unknotting numbers and crossing numbers of spatial embeddings of trivializable graphs and handlebody-knots	0
Jones rational coincidences	0
The Non-Orientable 4-Genus of 11 Crossing Non-Alternating Knots	0
Studying complex manifolds by using groups Gnk and Γnk	0
Arc presentations of Montesinos links	0
Author index Volume 29	0
A Class of Index Polynomial Invariants for Virtual Knots Using Flat Virtual Knots Invariants	0
Span of the Jones polynomials of certain v-adequate virtual links	0
Crosscap number three alternating knots	0
The computational complexity of classical knot recognition	0
Quandle coloring quivers of (p,q)-torus links	0
Twisted Alexander invariants for the braid group associated with the Tong–Yang–Ma representation	0
Conversion to almost classical virtual links and pseudo Goeritz matrices	0
Identifying non-pseudo-alternating knots by using the free factor property of minimal genus Seifert surfaces	0
Self-dual maps III: Projective links	0
Group object quandles and their endomorphism nearrings	0
Erratum: Decompositions of the 3-sphere and lens spaces with three handlebodies	0
A relation between the crossing number and the height of a knotoid	0
Quotients of the Gordian and H(2)-Gordian graphs	0
Reducible surgery in lens spaces and seiferters	0
Cyclic coverings of the 3-sphere branched over wild knots of dynamically defined type	0
Garside groups and geometry: Some thoughts for Patrick Dehornoy	0
On generalized configuration space and its homotopy groups	0
A combinatorial description of the LOSS Legendrian knot invariant	0
On alternating closed braids	0
Combinatorial knot theory and the Jones polynomial	0
Author index Volume 30	0
Region crossing change, bicolored diagram and Arf invariant	0
Integral left-orderable surgeries on genus one fibered knots	0
Homflypt skein theory, string topology and 2-categories	0
From colored triangulations to framed link presentations of 3-manifolds by a polynomial algorithm	0
A bracket polynomial for virtual links	0
A numerical invariant of oriented links	0
The coefficients of the Jones polynomial	0
Shrinking braids and left distributive monoid	0
A new Garside structure on torus knot groups and some complex braid groups	0
The homomorphism defect of an extended Levine–Tristram signature via twisted homology	0
New criteria and constructions of Brunnian links	0
Almost all 2-bridge knots are curly	0
Fibered 3-manifolds with unique incompressible surfaces	0
The stick number of rail arcs	0
On pretzel links which are concordant to the trivial link	0
Generating links that are both quasi-alternating and almost alternating	0
A short proof of a theorem of Tanaka on composite knots with symmetric union presentations	0
On the braid index of a two-bridge knot	0
A prime decomposition theorem for string links in a thickened surface	0
Distinguishing some genus one knots using finite quotients	0
n-Bridge braids and the braid index	0
Local-move identities for the ℤ[t,t−1]-Alexander polynomials of 2-links, the alinking number, and high-dimensional analogues	0
On the 3-loop polynomial of genus 1 knots with trivial Alexander polynomial	0
Linking in tree-manifolds	0
Multivariate Alexander quandles, IV. The medial quandle of a link	0
3-Bridgeness under adding crossings to alternating 3-bridge knots in a 3-bridge representation	0
On the geometry of two state models for the colored Jones polynomial	0
New superbridge index calculations from non-minimal realizations	0
Heegaard distance of the link complements in S3	0
Torus knots and links in V1 that are invariant under the ℤm × ℤl-actions on V1 that form the quotient orbifold (A0,k)	0
Cable knots obtained by positively twisting torus knots	0
Memories of Vaughan from his student days and after	0
Vertex distortion detects the unknot	0
Properties of minimal charts and their applications VIII: Charts of type (7)	0
A spinning construction for virtual 1-knots and 2-knots, and the fiberwise and welded equivalence of virtual 1-knots	0
Twisted virtual bikeigebras and twisted virtual handlebody-knots	0
Remembering Patrick Dehornoy	0
Heegaard presentations and Milnor pairings of some knots	0
Bikei module invariants of unoriented surface-links	0
On classification of genus g knots which admit a (1,1)-decomposition	0
A short remembrance of Vaughan	0
On Heegaard splittings of mapping torus and induced by open book decompositions	0
A note on the involutive invariants of certain pretzel knots	0
On the basic properties of GCn sets	0
Remarks relating to the ascending number and geometrical invariants of a knot	0
Special Issue in Memory of Patrick Dehornoy	0
Distinguishing surface-links described by 4-charts with two crossings and eight black vertices	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
Relationship of the Hennings and Witten–Reshetikhan–Turaev invariants for higher rank quantum groups	0
Vaughan Jones at IHES	0
Some congruence of the generalized Alexander invariant for periodic virtual links	0
Simple braids tend toward positive entropy	0
Limits of the Tristram–Levine signature function	0