Journal of Knot Theory and Its Ramifications

Article	Citations
On the complexity of meander-like diagrams of knots	7
Connected sum and crossing numbers of flat virtual knots	5
Self-dual maps III: Projective links	5
Vertex distortion detects the unknot	5
A note on the involutive invariants of certain pretzel knots	4
New superbridge index calculations from non-minimal realizations	4
Linking in tree-manifolds	4
A Polynomial Invariant of Virtual Links Using Jager Formula	4
Virtual index cocycles and invariants of virtual links	4
Twisted Alexander invariants for the braid group associated with the Tong–Yang–Ma representation	4
The non-orientable 4-genus of 11 crossing non-alternating knots	4
Embedding tangles in links and Gaussian integers	3
Multivariate Alexander quandles, IV. The medial quandle of a link	3
A combinatorial description of the LOSS Legendrian knot invariant	3
Conversion to almost classical virtual links and pseudo Goeritz matrices	3
Limits of the Tristram–Levine signature function	3
A spectrum connecting the bridge index and the braid index	3
Invariants of spatial graphs coming from maximal trees	2
A construction of multiple group racks	2
Classifying links and spatial graphs with finite N-quandles	2
Some polynomial invariants of virtual doodles	2
Group-valued invariant of knots in the full torus	2
Generalization of arc shift for twisted knots	2
On the geometry and bounded cohomology of racks and quandles	2
Some experimental results on knots and links constructed from elements of Thompson’s group F à la Jones	2

Matrix representation for some generalized braid-like groups	2
Gauss diagram formulae for Vassiliev invariants from Kauffman polynomial	2
On annulus presentations, dualizable patterns and RGB-diagrams	2
Intersecting subgroups and symmetric commutator subgroups in virtual link groups	2
Quantum invariants of links and 3-manifolds with boundary defined via virtual links	2
Cyclic sets from ribbon string links	2
Decomposability of minimal defect branched coverings over the projective plane	2
Pentagon equations, Delaunay triangulations and pure braid group invariant	2
Bi-Legendrian rack colorings of Legendrian knots	2
The Rohlin invariant and ℤ/2-valued invariants of homology spheres	2
Knots with properties of a trefoil knot concerning unknotting operations	2
Algebra, topology and the discoveries of Vaughan Jones	2
Thistlethwaite theorems for knotoids and linkoids	2
Embedding tangles and the Kauffman bracket polynomials	2
On linear resolvability of universal quantum dimensions	2
The F-polynomial invariant for knotoids	2
Quandle action quivers	2
On some new oriented Singquandles and their shadows	2
A polynomial invariant of Kauffman type for knotoids	2
Periods of continued fractions and volumes of modular knots complements	2
Regular isotopy classes of link diagrams from Thompson’s groups	2
Memories of Vaughan Jones	2
Remembering Vaughan Jones	2
Extremal Khovanov homology and the girth of a knot	2
A groupoid rack and spatial surfaces	2
A new invariant of planar knotoids and finite-type invariants	2
One conjecture on cut points of virtual links and the arrow polynomial of twisted links	2
Preface for Special Issue for Vaughan Jones	2
A visit in Valparaíso	2
Heegaard presentations and Milnor pairings of some knots	2
A multivariable polynomial invariant of virtual knots	2
A note on Murasugi sum of trivially extendable relative trisections	2
A class of index polynomial invariants for virtual knots using flat virtual knots invariants	1
Relationship of the Hennings and Witten–Reshetikhan–Turaev invariants for higher rank quantum groups	1
Computations of HOMFLY homology	1
Counting the number of connected components of multi-curves through corresponding permutations	1
Link-homotopy classes of 4-component links, claspers and the Habegger–Lin algorithm	1
Representations of flat virtual braids which do not preserve the forbidden relations	1
Multivariate Alexander quandles, V. Constructing the medial quandle of a link	1
In Memory of Vaughan Jones (Renzo L. Ricca)	1
Knot cobordism and Lee’s perturbation of Khovanov homology	1
Region colorings of surfaces in 4-space	1
Trisection embeddings of non-orientable 4-manifolds	1
Author index Volume 32	1
Reducible surgery in lens spaces and seiferters	1
From integrals to combinatorial formulas of finite type invariants — A case study	1
Octahedral developing of knot complement II: Ptolemy coordinates and applications	1
Enhanced index polynomials for virtual knots	1
Dynamics of quandle orders	1
A Seifert algorithm for integral homology spheres	1

A combinatorial proof of invariance of double-point enhanced grid homology	1
Some generalizations of Satoh’s Tube map	1
Tri-plane diagrams for simple surfaces in S4	1
Simple braids tend toward positive entropy	1
Shade quandle presentations for oriented links	1
Torus knots and links in V1 that are invariant under the ℤm × ℤl-actions on V1 that form the quotient orbifold (A0,k)	1
Linking number for graph-links and some classification of graph-links	1
Multi-virtual knot theory	1
Properties of minimal charts and their applications VIII: Charts of type (7)	1
KBSM for the family of small Seifert fibered 3-manifolds with multiplicity two exceptional fibers	1
Symmetry groups of hyperbolic links and their complements	1
Characterizing slopes for torus knots, II	1
B-type Catalan states of lattice crossing	1
Erratum: Milnor’s triple linking number and Gauss diagram formulas of 3-bouquet graphs	1
A universal algebraic approach to rack coverings	1
Origins of the Temperley–Lieb algebra: Early history	1
The H(n)-move is an unknotting operation for virtual and welded links	1
Computational complexity of graded knot invariant	1
Garside groups and geometry: Some thoughts for Patrick Dehornoy	1
Lefschetz open book decompositions of 4-manifolds	1
Embedding Alexander quandles into groups	1
Classification of doubly periodic untwisted (p,q)-weaves by their crossing number and matrices	1
An algorithm to calculate generalized Seifert matrices	1
Fibered 3-manifolds with unique incompressible surfaces	1
Trisections induced by the Gluck surgery along certain spun knots	1
On pretzel links which are concordant to the trivial link	1
Khovanov–Lipshitz–Sarkar homotopy type for links in thickened surfaces	1
On homogeneous quasipositive links	1
Jones rational coincidences	1
Finite involutory quandles of two-bridge links with an axis	1
Alexander and Markov theorems for generalized knots, II generalized braids	1
Left orderability for surgeries on the [1,1,2,2,2j] two-bridge knots	1
Special Issue in Memory of Patrick Dehornoy	1
Families of curly knots	1
Generalized knots–quivers correspondence	1
The one-row-colored ????????3 Jones polynomials for pretzel links	1
Invariants of annular links, cobordisms and transverse links from combinatorial link Floer complex	1
Signed heights of knotoids	1
A note on Rivin’s interpretation of McShane’s identity as identities for closed geodesics with one self-intersection	1
Regular projections of the link L6n1	1
The special shadow-complexity of #k(S1 × S3)	1
The intersection polynomials of a virtual knot IV: Crossing change and supporting genus	1
Memories of Vaughan from his student days and after	1
Crossing numbers and rotation numbers of cycles in a plane immersed graph	1
A Torres-type formula for the Alexander polynomial of spatial graphs	1
On invariants of surfaces in the 3-sphere	1
Carric mat and the further research on bipartite knots	1
Personal recollection of Vaughan F. R. Jones (1952–2020)	1
Orbits by the up–down action of braid diagrams	1
Positive braids minimize ascending number	1
An improvement of the lower bound for the minimum number of link colorings by quandles	1
Two-bridge links and stable maps into the plane	1
On the swap move of letters in words and the forbidden moves in virtual diagrams	1
Colorings of Symmetric Unions and Partial Knots	1
On the braid index of a two-bridge knot	1
Non-slice 3-stranded pretzel knots	0
Torus knots obtained by negatively twisting torus knots	0
On the nonorientable 4-genus of double twist knots	0
Infinitely many virtual knots with any given sequence of n-writhes	0
Groups generated by Dehn twists along fillings of surfaces	0
The smooth 4-genus of (the rest of) the prime knots through 12 crossings	0
Quantum enhancement polynomials associated with the canonical two-element tribracket	0
The average genus of oriented rational links with a given crossing number	0
Determinant of the OU matrix of a braid diagram	0
Local knots and the prime factorization of links	0
Framed Thompson groups	0
On a commuting graph of tiny braids	0
Basis for KBSM of fibered torus with multiplicity two exceptional fiber	0
The Story Behind the Photo at the Isaac Newton Institute	0
Quantum invariant congruence for periodic links	0
Coloring torus knots by conjugation quandles	0
The tightest knot is not necessarily the smallest	0
Gröbner–Shirshov bases for Seifert manifolds	0
Projectors in the virtual Temperley–Lieb algebra	0
On invariants for surface-links in entropic magmas via marked graph diagrams	0
Coefficients of Catalan states of lattice crossing II: Applications of ΘA-state expansions	0
Parity functors	0
Non-Orientable 4-Genus of Torus Knots with Braid Index 5 or 6	0
A new Gram determinant from the Möbius band	0
Algebraic concordance order of almost classical knots	0

The Gordian complexes of knots given by 4-move	0
Self-intersecting filling curves on surfaces	0
Maps on random hypergraphs and random simplicial complexes	0
Entropic Niebrzydowski tribrackets	0
Three-page indices for rational links and pretzel links	0
A numerical invariant of oriented links	0
Narrowing the gap between combinatorial and hyperbolic knot invariants via deep learning	0
Minimal grid diagrams of the prime knots with crossing number 14 and arc index 13, 14	0
On the triple point number of surface-links in Yoshikawa’s table	0
Group object quandles and their endomorphism nearrings	0
Index polynomial invariants of virtual knots using invariants for flat virtual knots	0
Remembering Patrick Dehornoy	0
Knot quandle decomposition along a torus	0
All prime knots through 10 crossings have superbridge index ≤ 5	0
A new bound on odd multicrossing numbers of knots and 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
Equivariant annular Khovanov homology	0
A note on closed 3-braid knot shadows	0
On the algebraic structure of the set of long flat virtual knot diagrams with the connected sum operation	0
New examples of topologically slice links	0
On the axioms of singquandles	0
Hyperbolicity of augmented links in the thickened torus	0
Twisted virtual bikeigebras and twisted virtual handlebody-knots	0
Classification of small links in the unmarked solid torus	0
On Heegaard splittings of mapping torus and induced by open book decompositions	0
Vaughan Jones at IHES	0
An Alexander-type invariant for doodles	0
The coefficients of the Jones polynomial	0
Annular Khovanov homology and meridional disks	0
The unrestricted virtual braid groups UV Bn	0
Some computations on instanton knot homology	0
Parity on based matrices	0
Flat-virtual knot: Introduction and some invariants	0
The intersection polynomials of a virtual knot II: Connected sums	0
A type DA structure in Khovanov homology	0
Erratum — On twist positive braids with the 2-variable link invariant: 3-braids of width 2	0
Decompositions of functions defined on finite sets in ℝd	0
Over then under tangles	0
Modified symmetrized integral in G-coalgebras	0
Preface for Special Issue for Vaughan Jones	0
The genus one complex quantum Chern–Simons representation of the mapping class group	0
Links in the spherical 3-manifold obtained from the quaternion group and their lifts	0
Generalizing the relation between the Kauffman bracket and Jones polynomial	0
On twist positive braids with the 2-variable link invariant: 3-braids of width 2	0
Biracks and switch braid quivers	0
Finiteness and dimension of stated skein modules over Frobenius	0
4-Move distance of knots	0
Legendrian satellites and decomposable cobordisms	0
The braid indices of pretzel links: A comprehensive study, Part I	0
Strict inequalities for the n-crossing number	0
Quandle coloring quivers of (p,q)-torus links	0
On torsion in linearized Legendrian contact homology	0
Lescop invariants of both the Brieskorn–Hamm manifolds and 3-manifolds obtained by Dehn surgeries on knots	0
Random hypergraphs, random simplicial complexes and their Künneth-type formulae	0
Concordances of sums of alternating torus knots and their mirrors to L-space knots	0
Knot invariants for rail knotoids	0
The rack congruence condition and half congruences in racks	0
Minimal generating sets of moves for diagrams of isotopic knots and spatial trivalent graphs	0
The virtual spectrum of linkoids and open curves in 3-space	0
A bracket polynomial for virtual links	0
The non-orientable 4-genus for knots with 10 crossings	0
Remembrance of Vaughan Jones	0
Preface	0
A robot that unknots knots	0
Δ-tribrackets and link homotopy	0
An introduction to Thompson knot theory and to Jones subgroups	0
A meeting with Patrick DeHornoy	0
Generators of the mapping class group of a nonorientable punctured surface	0
Behind maths: Federating research(ers)	0
HOMFLY-PT polynomials of open links	0
Universal weight systems from a minimal ℤ22-graded lie algebra	0
Linking number and folded ribbon unknots	0
On the generalized virtual Goeritz matrix for virtual knots	0
Morse complexes and M-torsions of digraphs	0
Determinants of twisted generalized hybrid weaving knots	0
Folded ribbonlength of 2-bridge knots	0
Some properties of grid homology for MOY graphs	0
Tangle number of virtual rational tangles	0
Equivalence of field theories: Crane-Yetter and the shadow	0
An example of a non-extendable isotopy of a knot	0
Non-diffeomorphic minimal genus relative trisections of the same 4-manifold	0
Braids act on configurations of lines	0
CWR sequence of invariants of alternating links and its properties	0
Geography of Legendrian knot mosaics	0
Psyquandle coloring quivers	0
Heegaard Floer invariants for cyclic 3-orbifolds	0
Closure of knitted surfaces and surface-links	0
Good involutions of generalized Alexander quandles	0
On universal parity on free two-dimensional knots	0
An alternate approach to Habiro and Lê’s universal invariant of homology three-spheres	0
3-Bridgeness under adding crossings to alternating 3-bridge knots in a 3-bridge representation	0
Intersection formulas for parities on virtual knots	0
Lower bounds for the warping degree of a knot projection	0
On long knots in the full torus	0
A new Garside structure on torus knot groups and some complex braid groups	0