Journal of Knot Theory and Its Ramifications

Papers
(The median citation count of Journal of Knot Theory and Its Ramifications is 0. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2022-05-01 to 2026-05-01.)
ArticleCitations
New superbridge index calculations from non-minimal realizations7
Vertex distortion detects the unknot7
Connected sum and crossing numbers of flat virtual knots5
On the complexity of meander-like diagrams of knots4
Twisted Alexander invariants for the braid group associated with the Tong–Yang–Ma representation4
Conjugation in S n 4
The non-orientable 4-genus of 11 crossing non-alternating knots4
Self-dual maps III: Projective links4
A note on the involutive invariants of certain pretzel knots4
Linking in tree-manifolds4
A polynomial invariant of virtual links using Jager formula3
Signature and crossing number of links3
Conversion to almost classical virtual links and pseudo Goeritz matrices3
Heegaard presentations and Milnor pairings of some knots3
Limits of the Tristram–Levine signature function3
Embedding tangles in links and Gaussian integers3
A spectrum connecting the bridge index and the braid index3
Quandle action quivers3
A combinatorial description of the LOSS Legendrian knot invariant3
Invariants of flat connections on 4-manifolds from Hopf group-algebras3
Multivariate Alexander quandles, IV. The medial quandle of a link3
A multivariable polynomial invariant of virtual knots3
On annulus presentations, dualizable patterns and RGB-diagrams3
On the Upsilon invariant in grid homology2
One conjecture on cut points of virtual links and the arrow polynomial of twisted links2
Regular isotopy classes of link diagrams from Thompson’s groups2
Knots with properties of a trefoil knot concerning unknotting operations2
Gauss diagram formulae for Vassiliev invariants from Kauffman polynomial2
The Rohlin invariant and ℤ/2-valued invariants of homology spheres2
The F-polynomial invariant for knotoids2
A polynomial invariant of Kauffman type for knotoids2
Embedding tangles and the Kauffman bracket polynomials2
Classifying links and spatial graphs with finite N -quandles2
Decomposability of minimal defect branched coverings over the projective plane2
Extremal Khovanov homology and the girth of a knot2
A groupoid rack and spatial surfaces2
Kirby–Thompson invariants of distant sums of standard surfaces2
Remembering Vaughan Jones2
A note on Murasugi sum of trivially extendable relative trisections2
Thistlethwaite theorems for knotoids and linkoids2
On some new oriented Singquandles and their shadows2
Invariants of spatial graphs coming from maximal trees2
Algebra, topology and the discoveries of Vaughan Jones2
Trisection embeddings of non-orientable 4-manifolds2
Preface for Special Issue for Vaughan Jones2
Pentagon equations, Delaunay triangulations and pure braid group invariant2
Generalization of arc shift for twisted knots2
Intersecting subgroups and symmetric commutator subgroups in virtual link groups2
A new invariant of planar knotoids and finite-type invariants2
Group-valued invariant of knots in the full torus2
On the geometry and bounded cohomology of racks and quandles2
Matrix representation for some generalized braid-like groups2
A visit in Valparaíso2
An ????????2 action on link homology of T(2,k) torus links2
Some experimental results on knots and links constructed from elements of Thompson’s group F à la Jones2
Bi-Legendrian rack colorings of Legendrian knots2
Quantum invariants of links and 3-manifolds with boundary defined via virtual links2
Memories of Vaughan Jones2
Jones rational coincidences1
Khovanov–Lipshitz–Sarkar homotopy type for links in thickened surfaces1
Author index Volume 321
Regular projections of the link L6n11
Two-bridge links and stable maps into the plane1
A Seifert algorithm for integral homology spheres1
Special Issue in Memory of Patrick Dehornoy1
Richard A. Litherland: A brief biography1
Cyclic sets from ribbon string links1
From integrals to combinatorial formulas of finite type invariants — A case study1
Periods of continued fractions and volumes of modular knots complements1
An improvement of the lower bound for the minimum number of link colorings by quandles1
Invariants of annular links, cobordisms and transverse links from combinatorial link Floer complex1
An invariant of free knots valued in non-abelian groups1
A Torres-type formula for the Alexander polynomial of spatial graphs1
Congruence subgroups of the virtual braid group1
A construction of multiple group racks1
A class of index polynomial invariants for virtual knots using flat virtual knots invariants1
Some generalizations of Satoh’s Tube map1
On characterization of a multivariable polynomial invariant of twisted links1
Carric mat and the further research on bipartite knots1
Symmetry groups of hyperbolic links and their complements1
The special shadow-complexity of #k(S1 × S3)1
Link-homotopy classes of 4-component links, claspers and the Habegger–Lin algorithm1
An algorithm to calculate generalized Seifert matrices1
Alexander and Markov theorems for generalized knots, II generalized braids1
Orbits by the up–down action of braid diagrams1
On the swap move of letters in words and the forbidden moves in virtual diagrams1
Origins of the Temperley–Lieb algebra: Early history1
Simple braids tend toward positive entropy1
Fibered 3-manifolds with unique incompressible surfaces1
Region colorings of surfaces in 4-space1
On homogeneous quasipositive links1
Garside groups and geometry: Some thoughts for Patrick Dehornoy1
A combinatorial proof of invariance of double-point enhanced grid homology1
Some polynomial invariants of virtual doodles1
Computational complexity of graded knot invariant1
Multivariate Alexander quandles, V. Constructing the medial quandle of a link1
Colorings of symmetric unions and partial knots1
A note on Rivin’s interpretation of McShane’s identity as identities for closed geodesics with one self-intersection1
Linking number for graph-links and some classification of graph-links1
The H(n)-move is an unknotting operation for virtual and welded links1
Computations of HOMFLY homology1
Counting the number of connected components of multi-curves through corresponding permutations1
Memories of Vaughan from his student days and after1
Octahedral developing of knot complement II: Ptolemy coordinates and applications1
The one-row-colored ????????3 Jones polynomials for pretzel links1
Torus knots and links in V1 that are invariant under the ℤm × ℤl-actions on V1 that form the quotient orbifold (A0,k)1
Positive braids minimize ascending number1
Tri-plane diagrams for simple surfaces in S41
Trisections induced by the Gluck surgery along certain spun knots1
On pretzel links which are concordant to the trivial link1
Shade quandle presentations for oriented links1
The intersection polynomials of a virtual knot IV: Crossing change and supporting genus1
A universal algebraic approach to rack coverings1
Generalized knots–quivers correspondence1
Integer inequalities between knot invariants, skein tree depth and delta-crossing numbers1
Crossing numbers and rotation numbers of cycles in a plane immersed graph1
On the braid index of a two-bridge knot1
In memory of Vaughan Jones1
Characterizing slopes for torus knots, II1
B-type Catalan states of lattice crossing1
Erratum: Milnor’s triple linking number and Gauss diagram formulas of 3-bouquet graphs1
Multi-virtual knot theory1
KBSM for the family of small Seifert fibered 3-manifolds with multiplicity two exceptional fibers1
Left orderability for surgeries on the [1,1,2,2,2j] two-bridge knots1
Classification of doubly periodic untwisted (p,q)-weaves by their crossing number and matrices1
Dynamics of quandle orders1
Families of curly knots1
Reducible surgery in lens spaces and seiferters1
Embedding Alexander quandles into groups1
Representations of flat virtual braids which do not preserve the forbidden relations1
Relationship of the Hennings and Witten–Reshetikhan–Turaev invariants for higher rank quantum groups1
Unsolvability of certain transcendental equations and the corresponding braid monodromy0
Invariants of n-colored links in the solid torus S1 × D2 associated with n-multibiquandles0
On universal parity on free two-dimensional knots0
Finiteness and dimension of stated skein modules over Frobenius0
Folded ribbonlength of 2-bridge knots0
Doodles and commutator identities0
The tightest knot is not necessarily the smallest0
Algebraic concordance order of almost classical knots0
Knot invariants for rail knotoids0
Vaughan Jones at IHES0
Remembrance of Vaughan Jones0
Quantum invariants arising from Uh????????(2|1) are q-holonomic0
Equivariant annular Khovanov homology0
The Gordian complexes of knots given by 4-move0
Quantum enhancement polynomials associated with the canonical two-element tribracket0
A robot that unknots knots0
Segment number of knots0
Δ-tribrackets and link homotopy0
Determinant of the OU matrix of a braid diagram0
A short remembrance of Vaughan0
Classification of small links in the unmarked solid torus0
Gröbner–Shirshov bases for Seifert manifolds0
Minimal grid diagrams of the prime knots with crossing number 14 and arc index 13, 140
Links in the spherical 3-manifold obtained from the quaternion group and their lifts0
On the generalized virtual Goeritz matrix for virtual knots0
Linking number and folded ribbon unknots0
Basis for KBSM of fibered torus with multiplicity two exceptional fiber0
The smooth 4-genus of (the rest of) the prime knots through 12 crossings0
Some properties of grid homology for MOY graphs0
An example of a non-extendable isotopy of a knot0
The coefficients of the Jones polynomial0
Equivalence of field theories: Crane–Yetter and the shadow0
CWR sequence of invariants of alternating links and its properties0
On invariants for surface-links in entropic magmas via marked graph diagrams0
Preface for Special Issue for Vaughan Jones0
Heegaard Floer invariants for cyclic 3-orbifolds0
A meeting with Patrick DeHornoy0
Index polynomial invariants of virtual knots using invariants for flat virtual knots0
Coloring torus knots by conjugation quandles0
Psyquandle coloring quivers0
The genus one complex quantum Chern–Simons representation of the mapping class group0
The forbidden quiver of a link0
Group object quandles and their endomorphism nearrings0
Distinguishing some genus one knots using finite quotients0
Minimal generating sets of moves for diagrams of isotopic knots and spatial trivalent graphs0
Knot quandle decomposition along a torus0
A note on closed 3-braid knot shadows0
Intersection formulas for parities on virtual knots0
An alternate approach to Habiro and Lê’s universal invariant of homology three-spheres0
Remembering Patrick Dehornoy0
Braids act on configurations of lines0
On the slice genus of generalized algebraic knots0
Determinants of simple theta curves and symmetric graphs0
Groups generated by Dehn twists along fillings of surfaces0
The braid indices of pretzel links: A comprehensive study, Part I0
New examples of topologically slice links0
Projectors in the virtual Temperley–Lieb algebra0
Framed Thompson groups0
Preface0
The rack congruence condition and half congruences in racks0
An introduction to Thompson knot theory and to Jones subgroups0
Disingquandles and invariants of dichromatic singular links0
Closure of knitted surfaces and surface-links0
Annular Khovanov homology and meridional disks0
Non-diffeomorphic minimal genus relative trisections of the same 4-manifold0
The story behind the photo at the Isaac Newton institute0
On Heegaard splittings of mapping torus and induced by open book decompositions0
Generalizing the relation between the Kauffman bracket and Jones polynomial0
Modified symmetrized integral in G-coalgebras0
Parity functors0
Morse complexes and M -torsions of digraphs0
Concordances of sums of alternating torus knots and their mirrors to L-space knots0
Entropic Niebrzydowski tribrackets0
Erratum — On twist positive braids with the 2-variable link invariant: 3-braids of width 20
Legendrian satellites and decomposable cobordisms0
Self-intersecting filling curves on surfaces0
Some computations on instanton knot homology0
Over then under tangles0
A bracket polynomial for virtual links0
The virtual spectrum of linkoids and open curves in 3-space0
Infinitely many arithmetic alternating links: Class number greater than one0
Pointed quandles of linkoids0
Multivariate Alexander quandles, VI. Metabelian groups and 2-component links0
Quandle coloring quivers of (p,q)-torus links0
Strict inequalities for the n-crossing number0
On torsion in linearized Legendrian contact homology0
3-Bridgeness under adding crossings to alternating 3-bridge knots in a 3-bridge representation0
Derivatives with MCQ alexander pairs for Handlebody-Links0
Random hypergraphs, random simplicial complexes and their Künneth-type formulae0
Minimal generating sets of moves for surfaces immersed in the four-space0
A new Garside structure on torus knot groups and some complex braid groups0
Determinants of twisted generalized hybrid weaving knots0
The distribution of braid indices of 2-bridge knots0
Local knots and the prime factorization of links0
On the non-orientable 4-genus of torus knots with braid index 5 or 60
On the axioms of singquandles0
Infinitely many virtual knots with any given sequence of n-writhes0
Universal weight systems from a minimal ℤ22-graded lie algebra0
Lower bounds for the warping degree of a knot projection0
Behind maths: Federating research(ers)0
Flat-virtual knot: Introduction and some invariants0
Lescop invariants of both the Brieskorn–Hamm manifolds and 3-manifolds obtained by Dehn surgeries on knots0
The average genus of oriented rational links with a given crossing number0
The unrestricted virtual braid groups UV Bn0
HOMFLY-PT polynomials of open links0
Biracks and switch braid quivers0
A type DA structure in Khovanov homology0
The intersection polynomials of a virtual knot II: Connected sums0
On a commuting graph of tiny braids0
Coefficients of Catalan states of lattice crossing II: Applications of ΘA-state expansions0
Quantum invariant congruence for periodic links0
On the nonorientable 4-genus of double twist knots0
Three-page indices for rational links and pretzel links0
Oriented disingquandles and invariants of oriented dichromatic singular links0
On twist positive braids with the 2-variable link invariant: 3-braids of width 20
Tangle number of virtual rational tangles0
On the algebraic structure of the set of long flat virtual knot diagrams with the connected sum operation0
Generators of the mapping class group of a nonorientable punctured surface0
A new Gram determinant from the Möbius band0
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