Homology classification of spatial graphs by linking numbers and Simon invariants

DOI10.1016/S0166-8641(03)00101-9zbMath1032.57002OpenAlexW1985375787MaRDI QIDQ1409761

Reiko Shinjo, Kouki Taniyama

Publication date: 22 October 2003

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

Full work available at URL: https://doi.org/10.1016/s0166-8641(03)00101-9

zbMATH Keywords

linking numberfinite type invariantspatial graphdelta moveSimon invariantspatial-graph-homology

Mathematics Subject Classification ID

Planar graphs; geometric and topological aspects of graph theory (05C10) Relations of low-dimensional topology with graph theory (57M15)

Related Items (5)

The topology of Helmholtz domains ⋮ A homotopy classification of two-component spatial graphs up to neighborhood equivalence ⋮ Reduced Wu and generalized Simon invariants for spatial graphs ⋮ ON NORMALIZATIONS OF A REGULAR ISOTOPY INVARIANT FOR SPATIAL GRAPHS ⋮ The van Kampen obstruction and its relatives

Cites Work

• Cobordism, homotopy and homology of graphs in \(\mathbb{R}^ 3\)
• Disk/band surfaces of spatial graphs
• Local moves on spatial graphs and finite type invariants.
• Homology classification of spatial embeddings of a graph
• Disk/band surface and spatial-graph homology
• Finite-type invariants of knots, links, and graphs
• Invariants of Graphs in Three-Space
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