Benjamin A. Burton

Orcid: 0000-0002-3478-3301

According to our database1, Benjamin A. Burton authored at least 53 papers between 2004 and 2023.

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Bibliography

2023
Finding Large Counterexamples by Selectively Exploring the Pachner Graph.
Proceedings of the 39th International Symposium on Computational Geometry, 2023

2022
Embeddings of 3-Manifolds in <i>S</i><sup>4</sup> from the Point of View of the 11-Tetrahedron Census.
Exp. Math., 2022

Flip Graphs of Stacked and Flag Triangulations of the 2-Sphere.
Electron. J. Comb., 2022

2021
On the hardness of finding normal surfaces.
J. Appl. Comput. Topol., 2021

2020
Connecting 3-manifold triangulations with monotonic sequences of bistellar flips.
CoRR, 2020

Knot Diagrams of Treewidth Two.
Proceedings of the Graph-Theoretic Concepts in Computer Science, 2020

The Next 350 Million Knots.
Proceedings of the 36th International Symposium on Computational Geometry, 2020

2019
The Parameterized Complexity of Finding a 2-Sphere in a Simplicial Complex.
SIAM J. Discret. Math., 2019

2018
Algorithms and complexity for Turaev-Viro invariants.
J. Appl. Comput. Topol., 2018

A Construction Principle for Tight and Minimal Triangulations of Manifolds.
Exp. Math., 2018

The HOMFLY-PT Polynomial is Fixed-Parameter Tractable.
Proceedings of the 34th International Symposium on Computational Geometry, 2018

2017
Courcelle's theorem for triangulations.
J. Comb. Theory, Ser. A, 2017

Finding Non-orientable Surfaces in 3-Manifolds.
Discret. Comput. Geom., 2017

Applications of Topology to the Analysis of 1-Dimensional Objects (Dagstuhl Seminar 17072).
Dagstuhl Reports, 2017

Randomness testing and comparison of classical and quantum bit generators.
Proceedings of the 2017 IEEE Symposium on Computers and Communications, 2017

Computing Optimal Homotopies over a Spiked Plane with Polygonal Boundary.
Proceedings of the 25th Annual European Symposium on Algorithms, 2017

2016
Parameterized Complexity of Discrete Morse Theory.
ACM Trans. Math. Softw., 2016

2-manifold recognition is in logspace.
J. Comput. Geom., 2016

Efficient Algorithms to Decide Tightness.
Proceedings of the 32nd International Symposium on Computational Geometry, 2016

2015
Separation index of graphs and stacked 2-spheres.
J. Comb. Theory, Ser. A, 2015

An Edge-Based Framework for Enumerating 3-Manifold Triangulations.
Proceedings of the 31st International Symposium on Computational Geometry, 2015

2014
Knot theory: Algorithms, complexity and computation (NII Shonan Meeting 2014-4).
NII Shonan Meet. Rep., 2014

Multi-Objective Integer Programming: An Improved Recursive Algorithm.
J. Optim. Theory Appl., 2014

A Duplicate Pair in the SnapPea Census.
Exp. Math., 2014

A New Approach to Crushing 3-Manifold Triangulations.
Discret. Comput. Geom., 2014

Collection of abstracts of the Workshop on Triangulations in Geometry and Topology at CG Week 2014 in Kyoto.
CoRR, 2014

On the Complexity of Immersed Normal Surfaces.
CoRR, 2014

The cusped hyperbolic census is complete.
CoRR, 2014

Fixed Parameter Tractable Algorithms in Combinatorial Topology.
Proceedings of the Computing and Combinatorics - 20th International Conference, 2014

Enumerating fundamental normal surfaces: Algorithms, experiments and invariants.
Proceedings of the 2014 Proceedings of the Sixteenth Workshop on Algorithm Engineering and Experiments, 2014

2013
Locating Regions in a Sequence under Density Constraints.
SIAM J. Comput., 2013

Optimising a nonlinear utility function in multi-objective integer programming.
J. Glob. Optim., 2013

A Tree Traversal Algorithm for Decision Problems in Knot Theory and 3-Manifold Topology.
Algorithmica, 2013

The complexity of detecting taut angle structures on triangulations.
Proceedings of the Twenty-Fourth Annual ACM-SIAM Symposium on Discrete Algorithms, 2013

Computing closed essential surfaces in knot complements.
Proceedings of the Symposium on Computational Geometry 2013, 2013

Computational topology and normal surfaces: Theoretical and experimental complexity bounds.
Proceedings of the 15th Meeting on Algorithm Engineering and Experiments, 2013

2012
Computing the Crosscap Number of a Knot Using Integer Programming and Normal Surfaces.
ACM Trans. Math. Softw., 2012

A fast branching algorithm for unknot recognition with experimental polynomial-time behaviour
CoRR, 2012

Computational topology with Regina: Algorithms, heuristics and implementations
CoRR, 2012

Complementary Vertices and Adjacency Testing in Polytopes.
Proceedings of the Computing and Combinatorics - 18th Annual International Conference, 2012

2011
Maximal admissible faces and asymptotic bounds for the normal surface solution space.
J. Comb. Theory, Ser. A, 2011

Fundamental normal surfaces and the enumeration of Hilbert bases
CoRR, 2011

Simplification paths in the Pachner graphs of closed orientable 3-manifold triangulations
CoRR, 2011

Searching a Bitstream in Linear Time for the Longest Substring of Any Given Density.
Algorithmica, 2011

Detecting genus in vertex links for the fast enumeration of 3-manifold triangulations.
Proceedings of the Symbolic and Algebraic Computation, International Symposium, 2011

The pachner graph and the simplification of 3-sphere triangulations.
Proceedings of the 27th ACM Symposium on Computational Geometry, 2011

2010
Optimizing the double description method for normal surface enumeration.
Math. Comput., 2010

Quadrilateral-Octagon Coordinates for Almost Normal Surfaces.
Exp. Math., 2010

The complexity of the normal surface solution space.
Proceedings of the 26th ACM Symposium on Computational Geometry, 2010

2008
Informatics olympiads: challenges in programming and algorithm design.
Proceedings of the Computer Science 2008, 2008

2007
Observations from the 8-Tetrahedron Nonorientable Census.
Exp. Math., 2007

Enumeration of Non-Orientable 3-Manifolds Using Face-Pairing Graphs and Union-Find.
Discret. Comput. Geom., 2007

2004
Introducing Regina, The 3-Manifold Topology Software.
Exp. Math., 2004


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