Journal of Knot Theory and Its Ramifications

Papers
(The TQCC of Journal of Knot Theory and Its Ramifications is 1. 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 2021-07-01 to 2025-07-01.)
ArticleCitations
Twisted Alexander invariants for the braid group associated with the Tong–Yang–Ma representation7
A Polynomial Invariant of Virtual Links Using Jager Formula7
A note on the involutive invariants of certain pretzel knots7
Self-dual maps III: Projective links6
Connected sum and crossing numbers of flat virtual knots5
The non-orientable 4-genus of 11 crossing non-alternating knots5
Linking in tree-manifolds4
Virtual index cocycles and invariants of virtual links4
Vertex distortion detects the unknot4
A Spectrum Connecting the Bridge Index and the Braid Index4
New superbridge index calculations from non-minimal realizations4
Limits of the Tristram–Levine signature function3
Integral geometric orbifolds3
Embedding tangles in links and Gaussian integers3
Multivariate Alexander quandles, IV. The medial quandle of a link3
A combinatorial description of the LOSS Legendrian knot invariant3
A visit in Valparaíso3
Quantum invariants of links and 3-manifolds with boundary defined via virtual links2
Regular isotopy classes of link diagrams from Thompson’s groups2
Generalization of arc shift for twisted knots2
A note on Murasugi sum of trivially extendable relative trisections2
A groupoid rack and spatial surfaces2
Invariants of spatial graphs coming from maximal trees2
Forty years in mathematics: Personal perspective (Part I)2
The F-polynomial invariant for knotoids2
On linear resolvability of universal quantum dimensions2
Heegaard presentations and Milnor pairings of some knots2
On annulus presentations, dualizable patterns and RGB-diagrams2
Embedding tangles and the Kauffman bracket polynomials2
Pentagon equations, Delaunay triangulations and pure braid group invariant2
Bi-Legendrian rack colorings of Legendrian knots2
A new invariant of planar knotoids and finite-type invariants2
A polynomial invariant of Kauffman type for knotoids2
Quandle action quivers2
Algebra, topology and the discoveries of Vaughan Jones2
Preface2
On some new oriented Singquandles and their shadows2
Gauss diagram formulae for Vassiliev invariants from Kauffman polynomial2
A multivariable polynomial invariant of virtual knots2
A diagrammatic presentation and its characterization of non-split compact surfaces in the 3-sphere2
Group-valued invariant of knots in the full torus2
Preface for Special Issue for Vaughan Jones2
Extremal Khovanov homology and the girth of a knot2
Intersecting subgroups and symmetric commutator subgroups in virtual link groups2
On the geometry and bounded cohomology of racks and quandles2
One conjecture on cut points of virtual links and the arrow polynomial of twisted links2
Remembering Vaughan Jones2
Conversion to almost classical virtual links and pseudo Goeritz matrices2
The Rohlin invariant and ℤ/2-valued invariants of homology spheres2
Knots with properties of a trefoil knot concerning unknotting operations2
Local-moves on knots and products of knots II2
A Torres-type formula for the Alexander polynomial of spatial graphs1
Connected sum of virtual knots and F-polynomials1
Linking number for graph-links and some classification of graph-links1
Properties of minimal charts and their applications VIII: Charts of type (7)1
Alexander and Markov theorems for generalized knots, II generalized braids1
Families of curly knots1
Special Issue in Memory of Patrick Dehornoy1
An algorithm to calculate generalized Seifert matrices1
In Memory of Vaughan Jones (Renzo L. Ricca)1
Simple braids tend toward positive entropy1
Finite involutory quandles of two-bridge links with an axis1
Link-homotopy classes of 4-component links, claspers and the Habegger–Lin algorithm1
Memories of Vaughan from his student days and after1
Regular projections of the link L6n11
Memories of Vaughan Jones1
Biquandle brackets and knotoids1
Characterizing slopes for torus knots, II1
Crossing numbers and rotation numbers of cycles in a plane immersed graph1
The special shadow-complexity of #k(S1 × S3)1
A combinatorial proof of invariance of double-point enhanced grid homology1
Multivariate Alexander quandles, V. Constructing the medial quandle of a link1
On the swap move of letters in words and the forbidden moves in virtual diagrams1
The H(n)-move is an unknotting operation for virtual and welded links1
B-type Catalan states of lattice crossing1
Generalized knots-quivers correspondence1
Carric mat and the further research on bipatite knots1
Counting the number of connected components of multi-curves through corresponding permutations1
Tri-plane diagrams for simple surfaces in S41
Two-bridge links and stable maps into the plane1
Multi-virtual knot theory1
Symmetry groups of hyperbolic links and their complements1
Fibered 3-manifolds with unique incompressible surfaces1
Shade quandle presentations for oriented links1
Representations of flat virtual braids which do not preserve the forbidden relations1
Jones rational coincidences1
Embedding Alexander quandles into groups1
On homogeneous quasipositive links1
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
Orbits by the up–down action of braid diagrams1
Personal recollection of Vaughan F. R. Jones (1952–2020)1
Knot cobordism and Lee’s perturbation of Khovanov homology1
The photography method: Solving pentagon equation1
A class of index polynomial invariants for virtual knots using flat virtual knots invariants1
Twisted cohomology pairings of knots II; to some Blanchfield pairings1
A note on Rivin’s interpretation of McShane’s identity as identities for closed geodesics with one self-intersection1
Author index Volume 321
Reducible surgery in lens spaces and seiferters1
Garside groups and geometry: Some thoughts for Patrick Dehornoy1
The one-row-colored ????????3 Jones polynomials for pretzel links1
Octahedral developing of knot complement II: Ptolemy coordinates and applications1
Invariants of annular links, cobordisms and transverse links from combinatorial link Floer complex1
Some generalizations of Satoh’s Tube map1
Relationship of the Hennings and Witten–Reshetikhan–Turaev invariants for higher rank quantum groups1
A universal algebraic approach to rack coverings1
Left orderability for surgeries on the [1,1,2,2,2j] two-bridge knots1
The Jones polynomials of three-bridge knots via Chebyshev knots and billiard table diagrams1
On pretzel links which are concordant to the trivial link1
Signed heights of knotoids1
Coefficients of catalan states without nesting and maximal number of returns1
Torus knots and links in V1 that are invariant under the ℤm × ℤl-actions on V1 that form the quotient orbifold (A0,k)1
On the braid index of a two-bridge knot1
A complete list of minimal diagrams of an oriented alternating knot1
On hyperelliptic Euclidean 3-manifolds1
Trisections induced by the Gluck surgery along certain spun knots1
Erratum: Milnor’s triple linking number and Gauss diagram formulas of 3-bouquet graphs1
On invariants of surfaces in the 3-sphere1
Classification of doubly periodic untwisted (p,q)-weaves by their crossing number and matrices1
Lefschetz open book decompositions of 4-manifolds1
Some polynomial invariants of virtual doodles1
The intersection polynomials of a virtual knot IV: Crossing change and supporting genus1
Cyclic sets from ribbon string links1
A Seifert algorithm for integral homology spheres1
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