4-colored graphs and knot/link complements

DOI10.1007/s00025-017-0686-4zbMath1376.57006arXiv1609.02357OpenAlexW2519894100MaRDI QIDQ2406997

Paola Cristofori, Michele Mulazzani, Vladimir Tarkaev, Evgeny Fominykh

Publication date: 4 October 2017

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.02357

zbMATH Keywords

3-manifoldscolored graphsknot/link complements

Mathematics Subject Classification ID

Related Items (7)

Crystallizations of compact 4-manifolds minimizing combinatorially defined PL-invariants ⋮ Compact 3-manifolds via 4-colored graphs ⋮ G-degree for singular manifolds ⋮ Minimal 4-colored graphs representing an infinite family of hyperbolic 3-manifolds ⋮ Kirby diagrams and 5-colored graphs representing compact 4-manifolds ⋮ Classifying compact 4-manifolds via generalized regular genus and \(G\)-degree ⋮ Combinatorial properties of the G-degree

Uses Software

• SnapPea
• SnapPy

Cites Work

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• NON-ORIENTABLE 3-MANIFOLDS ADMITTING COLORED TRIANGULATIONS WITH AT MOST 30 TETRAHEDRA
• A census of cusped hyperbolic 3-manifolds
• The pachner graph and the simplification of 3-sphere triangulations
• A Census of Tetrahedral Hyperbolic Manifolds
• Algorithmic topology and classification of 3-manifolds

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