Realization of knots and links in a spatial graph

DOI10.1016/S0166-8641(99)00228-XzbMath0968.57001OpenAlexW2000312597MaRDI QIDQ5930695

Akira Yasuhara, Kouki Taniyama

Publication date: 16 September 2001

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0166-8641(99)00228-x

zbMATH Keywords

graphknotlinkPetersen familyrealizable

Mathematics Subject Classification ID

Related Items (18)

INTRINSICALLY LINKED GRAPHS WITH KNOTTED COMPONENTS ⋮ △Y-EXCHANGES AND THE CONWAY–GORDON THEOREMS ⋮ Intrinsically knotted and 4-linked directed graphs ⋮ On the number of links in a linearly embedded K_3,3,1 ⋮ Constructions stemming from nonseparating planar graphs and their Colin de Verdière invariant ⋮ Complete minors in complements of nonseparating planar graphs ⋮ Knotting and linking in the Petersen family ⋮ Many, many more intrinsically knotted graphs ⋮ Recent developments in spatial graph theory ⋮ An Algorithm for Detecting Intrinsically Knotted Graphs ⋮ Classification of \(n\)-component Brunnian links up to \(C_{n}\)-move ⋮ A CHARACTERIZATION OF KNOTS IN A SPATIAL GRAPH II ⋮ An intrinsic nontriviality of graphs ⋮ Intrinsic linking and knotting in tournaments ⋮ A refinement of the Conway-Gordon theorems ⋮ A LARGE COMPLETE GRAPH IN A SPACE CONTAINS A LINK WITH LARGE LINK INVARIANT ⋮ ON CONWAY–GORDON TYPE THEOREMS FOR GRAPHS IN THE PETERSEN FAMILY ⋮ Knots and links in spatial graphs: a survey

Cites Work

• Vassiliev invariants of knots in a spatial graph.
• On a certain move generating link-homology
• Cobordism, homotopy and homology of graphs in \(\mathbb{R}^ 3\)
• Disk/band surfaces of spatial graphs
• Higher dimensional links in a simplicial complex embedded in a sphere
• Clasp-pass moves on knots, links and spatial graphs
• Homology classification of spatial embeddings of a graph
• Disk/band surface and spatial-graph homology
• Knots and links in certain spatial complete graphs
• Knots in spatial embeddings of the complete graph on four vertices
• Knots and links in spatial graphs
• FOUR OBSERVATIONS ON n-TRIVIALITY AND BRUNNIAN LINKS
• Linkless embeddings of graphs in 3-space
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