## Bibliography |

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[Ago11] *Ideal triangulations of pseudo-Anosov mapping tori*. Topology and Geometry in Dimension Three. pp. 1–17. Amer. Math. Soc.. Providence, RI. 2011.

[Bud08] *Embeddings of 3-manifolds in
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`S`

^{4}
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[Bur04] *Face pairing graphs and 3-manifold enumeration*. J. Knot Theory Ramifications. no. 8. pp. 1057–1101. 2004.

[Bur07a] *Enumeration of non-orientable 3-manifolds using face-pairing
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[Bur07b] *Observations from the 8-tetrahedron nonorientable census*. Experiment. Math.. no. 2. pp. 129–144. 2007.

[Bur07c] *Structures of small closed non-orientable 3-manifold
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[Bur08a] *Building minimal triangulations of graph manifolds using
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[Bur09a] *Converting between quadrilateral and standard solution sets
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[Bur10a] *Optimizing the double description method for normal surface
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[Bur10b] *Quadrilateral-octagon coordinates for almost normal surfaces*. Experiment. Math.. no. 3. pp. 285–315. 2010.

[Bur11a] *Detecting genus in vertex links for the fast enumeration of
3-manifold triangulations*. ISSAC 2011: Proceedings of the 36th International Symposium on
Symbolic and Algebraic Computation. pp. 59–66. ACM. 2011.

[Bur11b] *The Pachner graph and the simplification of 3-sphere
triangulations*. SCG '11: Proceedings of the Twenty-Seventh Annual Symposium
on Computational Geometry. pp. 153–162. ACM. 2011.

[Bur11c] *Simplification paths in the Pachner graphs of
closed orientable 3-manifold triangulations*. Preprint. arXiv:1110.6080. October 2011.

[Bur13] *Computational topology with Regina: Algorithms, heuristics and
implementations*. Geometry and Topology Down Under. pp. 195–224. Amer. Math. Soc.. Providence, RI. 2013.

[Bur14a] *Enumerating fundamental normal surfaces:
Algorithms, experiments and invariants*. ALENEX 2014: Proceedings of the Meeting on
Algorithm Engineering & Experiments. pp. 112–124. SIAM. 2014.

[Bur14b] *A new approach to crushing 3-manifold triangulations*. Discrete Comput. Geom.. no. 1. pp. 116–139. 2014.

[BO12] *A fast branching algorithm for unknot recognition with experimental
polynomial-time behaviour*. Preprint. arXiv:1211.1079. November 2012.

[BO13] *A tree traversal algorithm for decision problems in knot theory
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[BRT12] *The Weber-Seifert dodecahedral space is non-Haken*. Trans. Amer. Math. Soc.. 2. pp. 911–932. 2012.

[FG11] *From angled triangulations to hyperbolic structures*. Interactions Between Hyperbolic Geometry, Quantum Topology
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[GAP02] *GAP — Groups, Algorithms and Programming*. Version 4.3. 2002. Available from
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[HLP99] *The computational complexity of knot and link problems*. J. Assoc. Comput. Mach.. no. 2. pp. 185–211. 1999.

[HRST11] *Veering triangulations admit strict angle structures*. Geom. Topol.. no. 4. pp. 2073–2089. 2011.

[HW94] *Symmetries, isometries and length spectra of
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[JO84] *An algorithm to decide if a 3-manifold is a Haken manifold*. Topology. no. 2. pp. 195–209. 1984.

[KR05] *Ideal triangulations of 3-manifolds II;
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[KK80] *Algebraic classification of linking pairings on 3-manifolds*. Math. Ann.. no. 1. pp. 29–42. 1980.

[Mat98] *Tables of 3-manifolds up to complexity 6*. Max-Planck-Institut für Mathematik Preprint Series. 1998. Available from http://www.mpim-bonn.mpg.de/html/preprints/preprints.html.

[Riv94] *Euclidean structures on simplicial surfaces and hyperbolic
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[Rub95] *An algorithm to recognize the 3-sphere*. Proceedings of the International Congress of Mathematicians
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[Rub97] *Polyhedral minimal surfaces, Heegaard splittings and
decision problems for 3-dimensional manifolds*. Geometric Topology (Athens, GA, 1993). pp. 1–20. Amer. Math. Soc.. Providence, RI. 1997.

[Tho94] *Thin position and the recognition problem
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