Bibliography

[Ago11] Ian Agol. Ideal triangulations of pseudo-Anosov mapping tori. Topology and Geometry in Dimension Three. vol. 560 of Contemp. Math.. pp. 1–17. Amer. Math. Soc.. Providence, RI. 2011.

[Bud08] Ryan Budney. Embeddings of 3-manifolds in S⁴ from the point of view of the 11-tetrahedron census. Preprint. arXiv:0810.2346. October 2008.

[Bur03] Benjamin A. Burton. Minimal triangulations and normal surfaces. PhD Thesis. University of Melbourne. May 2003. Available from the Regina website.

[Bur04] Benjamin A. Burton. Face pairing graphs and 3-manifold enumeration. J. Knot Theory Ramifications. vol. 13. no. 8. pp. 1057–1101. 2004.

[Bur07a] Benjamin A. Burton. Enumeration of non-orientable 3-manifolds using face-pairing graphs and union-find. Discrete Comput. Geom.. vol. 38. no. 3. pp. 527–571. 2007.

[Bur07b] Benjamin A. Burton. Observations from the 8-tetrahedron nonorientable census. Experiment. Math.. vol. 16. no. 2. pp. 129–144. 2007.

[Bur07c] Benjamin A. Burton. Structures of small closed non-orientable 3-manifold triangulations. J. Knot Theory Ramifications. vol. 16. no. 5. pp. 545–574. 2007.

[Bur08a] Benjamin A. Burton. Building minimal triangulations of graph manifolds using saturated blocks. In preparation. 2008.

[Bur09a] Benjamin A. Burton. Converting between quadrilateral and standard solution sets in normal surface theory. Algebr. Geom. Topol.. vol. 9. no. 4. pp. 2121–2174. 2009.

[Bur10a] Benjamin A. Burton. Optimizing the double description method for normal surface enumeration. Math. Comp.. vol. 79. no. 269. pp. 453–484. 2010.

[Bur10b] Benjamin A. Burton. Quadrilateral-octagon coordinates for almost normal surfaces. Experiment. Math.. vol. 19. no. 3. pp. 285–315. 2010.

[Bur11a] Benjamin A. Burton. 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] Benjamin A. Burton. 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] Benjamin A. Burton. Simplification paths in the Pachner graphs of closed orientable 3-manifold triangulations. Preprint. arXiv:1110.6080. October 2011.

[Bur13] Benjamin A. Burton. Computational topology with Regina: Algorithms, heuristics and implementations. Geometry and Topology Down Under. vol. 597 of Contemp. Math.. pp. 195–224. Amer. Math. Soc.. Providence, RI. 2013.

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