THE GEOMETRY OF THE DEHN COMPLEX FOR A SPATIAL GRAPH

DOI10.1142/S0218216509007488zbMath1180.57010OpenAlexW2133975006MaRDI QIDQ3644377

Kevin Penderghest, D. Glasser, Mary Vacha, John Meier, Lori McDonnell

Publication date: 4 November 2009

Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218216509007488

zbMATH Keywords

spatial graphalternatingbiautomatic group\(\text{CAT}(0)\) complexDehn complex

Mathematics Subject Classification ID

Geometric group theory (20F65) Planar graphs; geometric and topological aspects of graph theory (05C10) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Relations of low-dimensional topology with graph theory (57M15) Hyperbolic groups and nonpositively curved groups (20F67)

Cites Work

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• The geometry of cube complexes and the complexity of their fundamental groups
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• CAT(0) is an algorithmic property
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• COLORING SPATIAL GRAPHS
• Curvature Testing in 3-Dimensional Metric Polyhedral Complexes