FACE PAIRING GRAPHS AND 3-MANIFOLD ENUMERATION

DOI10.1142/S0218216504003627zbMath1080.57024arXivmath/0307382OpenAlexW3103181239MaRDI QIDQ4653062

Benjamin A. Burton

Publication date: 28 February 2005

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

Full work available at URL: https://arxiv.org/abs/math/0307382

zbMATH Keywords

minimal triangulationenumeration algorithmtriangulated 3-manifolds

Mathematics Subject Classification ID

Enumeration in graph theory (05C30) Triangulating manifolds (57Q15) Relations of low-dimensional topology with graph theory (57M15)

Related Items

Knotted 4-regular graphs: Polynomial invariants and the Pachner moves ⋮ STRUCTURES OF SMALL CLOSED NON-ORIENTABLE 3-MANIFOLD TRIANGULATIONS ⋮ Maximal admissible faces and asymptotic bounds for the normal surface solution space ⋮ A CATALOGUE OF ORIENTABLE 3-MANIFOLDS TRIANGULATED BY 30 COLORED TETRAHEDRA ⋮ Inflations of ideal triangulations ⋮ A new approach to crushing 3-manifold triangulations ⋮ The Weber-Seifert dodecahedral space is non-Haken

Uses Software

• SnapPea

Cites Work

• Non-orientable 3-manifolds of small complexity
• A census of cusped hyperbolic 3-manifolds
• Three-Manifolds Having Complexity At Most 9
• Symmetries, Isometries and Length Spectra of Closed Hyperbolic Three-Manifolds