Invariants of Graphs in Three-Space
From MaRDI portal
Publication:3825762
DOI10.2307/2001147zbMath0672.57008OpenAlexW4254021853MaRDI QIDQ3825762
Publication date: 1989
Full work available at URL: https://doi.org/10.2307/2001147
linkJones polynomialisotopy classes of finite graphs embedded in 3-dimensional spacerigid vertex graphssurgering vertices
Related Items
Spatial graph as connected sum of a planar graph and a braid, Towards \(\mathcal{R}\)-matrix construction of Khovanov-Rozansky polynomials I. Primary \(T\)-deformation of HOMFLY, Knotted 4-regular graphs: Polynomial invariants and the Pachner moves, Minimal generating sets of moves for diagrams of isotopic knots and spatial trivalent graphs, Introduction to Khovanov homologies. I. Unreduced Jones superpolynomial, Framings of spatial graphs, Knot Theory, Knot Theory for Spatial Graphs Attached to a Surface, A table of n-component handlebody links of genus n+1 up to six crossings, 2-d physics and 3-d topology, Involutory biquandles and singular knots and links, Homology classification of spatial embeddings of a graph, Computing Vassiliev's invariants, Bridge index for theta curves in the 3-sphere, Heegaard Floer homology of spatial graphs, On the strong Hanani-Tutte theorem, On Kauffmann invariants for 6-valent graphs, A knot polynomial invariant for analysis of topology of RNA stems and protein disulfide bonds, Gauss diagrams, unknotting numbers and trivializing numbers of spatial graphs, Simple Smale flows and their templates on \(S^3\), Pseudo diagrams of knots, links and spatial graphs, Graph invariants of Vassiliev type and application to 4D quantum gravity, The topology of Helmholtz domains, Invariants of multi-linkoids, Planar Legendrian Θ ${\rm{\Theta }}$‐graphs, Milnor invariants and edge-homotopy classification of clover links, Concordance of spatial graphs, Yamada polynomial and associated link of \(\theta \)-curves, Finite type invariants of order 3 for a spatial handcuff graph, Classification of book representations of K6, Polynomial invariants for virtual marked graphs and virtual surface-link theory I, Spatial graphoids, Singular knots and involutive quandles, Unknottability of spatial graphs by region crossing changes, Minimal generating sets of moves for surfaces immersed in the four-space, Knot theory for proteins: Gauss codes, quandles and bondles, Homology classification of spatial graphs by linking numbers and Simon invariants, Tabulating knot polynomials for arborescent knots, On Legendrian graphs, Niebrzydowski algebras and trivalent spatial graphs, The Yamada polynomial of spatial graphs obtained by edge replacements, Invariants for trivalent tangles and handlebody-tangles, Alexander- and Markov-type theorems for virtual trivalent braids, A note on regular isotopy of singular links, Knotting of replication intermediates is narrowly restricted, The generalized Yamada polynomials of virtual spatial graphs, A chord graph constructed from a ribbon surface-link, Tangle insertion invariants for pseudoknots, singular knots, and rigid vertex spatial graphs, Grid diagram for singular links, Finite type invariants for knotoids, Intrinsic linking and knotting in virtual spatial graphs, All 2-dimensional links in 4-space live inside a universal 3-dimensional polyhedron, Moves and invariants for knotted handlebodies, Isotopy Invariants of Graphs, Coverings, correspondences, and noncommutative geometry, Quadrisecants give new lower bounds for the ropelength of a knot, Density of roots of the Yamada polynomial of spatial graphs, Singular Hecke algebras, Markov traces, and HOMFLY-type invariants, Knotted Symmetric Graphs, Unnamed Item, Singular link Floer homology, Invariants of theta-curves and other graphs in 3-space, The \(L\)-move and Markov theorems for trivalent braids, Rail knotoids, The Gordian complex of theta-curves, Minimal generating set of planar moves for surfaces embedded in the four-space, Labeled singular knots, Any knot is inevitable in a regular projection of a planar graph, Qualgebras and knotted 3-valent graphs, Category theoretic representations of knotted graphs in \(S^ 3\), Alternating graphs, Levels of knotting of spatial handlebodies, Tait's flyping conjecture for 4-regular graphs, A study of projections of 2-bouquet graphs
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A polynomial invariant for unoriented knots and links
- A spanning tree expansion of the Jones polynomial
- State models and the Jones polynomial
- Jones polynomials and classical conjectures in knot theory
- Embedding of 2-dimensional cell complexes in \(S^ 3\) determined by their 1-skeletons
- Topological chirality of certain molecules
- Knots and links in spatial graphs
- A polynomial invariant for knots via von Neumann algebras
- A new polynomial invariant of knots and links
- On Knots. (AM-115)
- New Invariants in the Theory of Knots
- LINK POLYNOMIALS AND A GRAPHICAL CALCULUS
- An Invariant of Regular Isotopy
- An invariant of spatial graphs