50. E. I. Acuna, P. A. Grossman and J. H. Rubinstein
Application of graph theory algorithms to detect multiple recirculation paths
14th United States/North American Mine Ventilation Symposium, 2012, University of Utah Press, 2012
49. P. A. Grossman, M. Brazil, J. H. Rubinstein and D. A. Thomas
Optimal design of an underground mine decline with an associated vent raise
Proceedings of the 20th International Symposium on Mathematical Theory of Networks and Systems (MTNS 2012), MTNS2012, 2012
48. A. Chang, M. Brazil, J. H. Rubinstein and D. A. Thomas
Curvature-constrained directional-cost paths in the plane
Journal of Global Optimization, 53, 663-681, 2012
47. M. Brazil, J. H. Rubinstein, D. A. Thomas, J. F. Weng and N. Wormald
Gradient-Constrained Minimum Networks. III. Fixed Topology
Journal of Optimization Theory and Applications, 155, 336-354, 2012
46. C. Hodgson, J. H. Rubinstein and H. Segerman
Triangulations of hyperbolic 3-manifolds admitting strict angle structures
Journal of Topology, 5, 887-908, 2012
45. B. I. P. Rubinstein and J. H. Rubinstein
A Geometric Approach to Sample Compression
Journal of Machine Learning Research, 13, 1221-1261, 2012
44. S. Hong, J. Kalliongis, D. Mccullough and J. H. Rubinstein
Diffeomorphisms of Elliptic 3-Manifolds
Springer-Verlag Heidelberg, 2012
43. B. A. Burton, J. H. Rubinstein and S. Tillman
THE WEBER-SEIFERT DODECAHEDRAL SPACE IS NON-HAKEN
Transactions of the American Mathematical Society, 364, 911-932, 2012
42. B. Foozwell and J. H. Rubinstein
introduction of the haken n-manifolds
71-84, AMS Press, 2011
41. J. Ayala Hoffmann, M. Brazil, J. H. Rubinstein and D. A. Thomas
Extendibility and path components of admissible paths for the dubins problem
Proceedings of Australian Control Conference, 440-444, IEEE - Institute of Electrical and Electronic Engineers, 2011
40. C. Hodgson, J. H. Rubinstein, H. Segerman and S. Tillmann
Veering triangulations admit strict angle structures
Geometry and Topology, 15, 2073-2089, 2011
39. W. Jaco, J. H. Rubinstein and S. Tillman
coverings and minimal triangulations of 3-manifolds
Algebraic and Geometric Topology, 11, 1257-1265, 2011
38. A. J. Chang, M. Brazil, D. A. Thomas and J. H. Rubinstein
Optimal Curvature-constrained paths with Anisotropic Costs in the Plane
Proceedings of Australian Control Conference, 112-117, IEEE - Institute of Electrical and Electronic Engineers, 2011
37. B. I. P. Rubinstein, P. L. Bartlett and J. H. Rubinstein
Corrigendum to "Shifting: One-inclusion mistake bounds and sample compression"
Journal of Computer and System Sciences, 76, 278-280, 2010
36. B. I. P. Rubinstein, P. L. Bartlett and J. H. Rubinstein
Shifting: One-inclusion mistake bounds and sample compression
Journal of Computer and System Sciences, 75, 37-59, 2009
35. W. Jaco, J. H. Rubinstein and S. Tillmann
Minimal triangulations for an infinite family of lens spaces
Journal of Topology, 2, 157-180, 2009
34. J. Hass, J. H. Rubinstein and A. Thompson
Knots and k-width
Geometriae Dedicata, 143, 7-18, 2009
33. W. Jaco, J. H. Rubinstein and E. Sedgwick
Finding planar surfacesin knot-and link-manifolds
Journal of Knot Theory and Its Ramifications, 18, 397-446, 2009
32. M. Brazil, P. Grossman, D. Lee, J. H. Rubinstein, D. Thomas and N. C. Wormald
Access Optimisation Tools in Underground Mine Design
International Symposium. Orebody Modelling and Strategic Mine Planning: Old and New Dimensions in a Changing World, 237-241, Australasian Institute of Mining and Metallurgy, 2009
31. A. Cafer, J. Richard and J. H. Rubinstein
Stability of asymmetric tetraquarks in the minimal-path linear potential
Physics Letters B, 674, 227-231, 2009
30. B. I. P. Rubinstein, P. L. Bartlett and J. H. Rubinstein
Shifting: One-inclusion mistake bounds and sample compression
Journal of Computer and System Sciences, 75, 37-59, 2009
29. Y. Rieck and J. H. Rubinstein
Invariant Heegaard surfaces in manifolds with involutions and the Heegaard genus of double covers
Communications in Analysis and Geometry, 17, 851-901, 2009
28. M. Brazil, P. Grossman, D. Lee, J. H. Rubinstein, D. Thomas and N. C. Wormald
Decline design in underground mines using constrained path optimisation
Mining Technology : IMM Transactions section A, 117, 93-99, 2008
27. M. Brazil, P. Grossman, D. Lee, J. H. Rubinstein, D. Thomas and N. C. Wormald
Constrained path optimisation for underground mine layout
The World Congress on Engineering 2007 (WCE 2007): Lecture Notes in Engineering and Computer Science), II, 856-861, Newswood Limited, 2007
26. L. Bartolini and J. H. Rubinstein
One-sided Heegaard splittings of RP^3
Algebraic and Geometric Topology, 6, 1319 - 1330, 2006
25. J. H. Rubinstein, J. Weng and N. Wormald
Approximations and lower bounds for the length of minimal Euclidean Steiner Trees
Journal of Global Optimization, 35, 573-592, 2006
24. M. Brazil, L. Caccetta, J. H. Rubinstein, V. Rehbock and M. G. Volz
The gradient-constrained Fermat-Weber problem for underground mine design
Proceedings of the 18th National Conference of the Australian Society for Operations Research and the 11th Australian Optimisation Day, 16-23, Western Australian Centre of Excellence in Industrial Optimisation, 2005
23. M. Brazil, D. A. Thomas, J. F. Weng, J. H. Rubinstein and D. H. Lee
Cost optimisation for underground mining networks
Optimization and Engineering, 6, 241-256, Springer Verlag, 2005
22. P. Norbury and J. H. Rubinstein
Closed Geodesics on Incomplete Surfaces
Geometriae Dedicata, 116, 1-36, Kluwer Academic Publishers, 2005
21. E. Kang and J. H. Rubinstein
Ideal triangulations of 3-manifolds II; taut and angle structures
Algebraic and Geometric Topology, 5, 1505-1533, Geometry & Topology Publications , 2005
20. D. Hoffman and J. H. Rubinstein
Minimal Surfaces in Geometric 3-Manifolds
Clay Mathematics Proceedings, 2, 725-746, American Mathematical Society, 2005
19. D. Hoffman and J. H. Rubinstein
Shortest Networks in 2 and 3 Dimensions
Clay Mathematics Proceedings, 2, 783-790, American Mathematical Society, 2005
18. M. Brazil, R. Dimitrakopoulos, D. Lee, J. H. Rubinstein, D. A. Thomas, J. F. Weng and N. C. Wormald
Optimisation in the Design of Underground Mine Access
121-124, The Australasian Institute of Mining and Metallurgy, 2005
17. J. H. Rubinstein and R. Sinclair
Visualizing Ricci Flow of Manifolds of Revolution
Experimental Mathematics, 14, 285-298, AK Peters Ltd, 2005
16. J. H. Rubinstein
An Algorithm to Recognise Small Seifert Fiber Spaces
Turkish Journal of Mathematics, 28, 75-87, Scientific and Technical Research Council of Turkey - TUBITAK, 2004
15. E. Kang and J. H. Rubinstein
Ideal triangulations of 3-manifolds I: spun normal surface theory
Geometry & Topology Monographs, 7, 235-265, University of Warwick, Department of Mathematics, 2004
14. I. R. Aitchison and J. H. Rubinstein
Localising Dehn's lemma and the loop theorem in 3-manifolds
Mathematical Proceedings of the Cambridge Philosophical Society, 137, 281-292, Cambridge University Press, 2004
13. M. Brazil, D. Lee, M. Van Leuven, J. H. Rubinstein, D. Thomas and N. Wormald
Optimising declines in underground mines
Institution of Mining and Metallurgy Transactions - Section A: Mining Technology, 112, 164-170, 2003
12. J. Maher and J. H. Rubinstein
Period three actions on the three-sphere
Geometry and Topology, 7, 329-397, Geometry & Topology Publications , 2003
11. J. H. Rubinstein, X. Z. Zhao, S. C. Wang and B. H. Li
Polyhedral Geometry
69-73, International Press, 2003
10. J. Hass, P. Norbury and J. H. Rubinstein
Minimal spheres of arbitrarily high Morse index
Communications in Analysis and Geometry, 11, 425-439, 2003
9. J. H. Rubinstein, X. Z. Zhao, S. C. Wang and B. H. Li
Dehn's lemma and the loop theorem
61-68, International Press, 2003
8. J. H. Rubinstein
Comparing open book and Heegaard decompositions of 3-manifolds
Turkish Journal of Mathematics, 27, 189-196, Scientific and Technical Research Council of Turkey - TUBITAK, 2003
7. J. H. Rubinstein, X. Z. Zhao, S. C. Wang and B. H. Li
Triangulations of 3-manifolds in Low dimensional topology
74-77, International Press, 2003
6. M. Brazil, D. H. Lee, J. H. Rubinstein, D. A. Thomas, J. F. Weng and N. C. Wormald
A network model to optimise cost in underground mine design
The Transactions of the South African Institute of Electrical Engineers, 93, 97-103, EE Publishers, 2002
5. A. J. Berrick, W. Jaco, D. Letscher, M. C. Leung, J. H. Rubinstein and X. Xu
Algorithms for essential surfaces in 3-manifolds
Topology and Geometry - Commemorating SISTAG, 314, 107-124, American Mathematical Society, 2002
4. J. H. Rubinstein, D. A. Thomas and J. F. Weng
Minimum networks for four points in space
Geometriae Dedicata, 93, 57-70, Kluwer Academic Publishers, 2002
3. M. Brazil, J. H. Rubinstein, D. A. Thomas, J. F. Weng and N. C. Wormald
Gradient-constrained minimum networks. I. fundamentals
Journal of Global Optimization, 21, 139-155, Kluwer Academic Publishers, 2001
2. J. H. Rubinstein, D. A. Thomas and N. C. Wormald
A polynomial algorithm for a constrained traveling salesman problem
Networks, 38, 68-75, John Wiley & Sons, 2001
1. M. Brazil, J. Wang, J. H. Rubinstein, D. A. Thomas and J. F. Weng
Modelling and optimisation of a weighted network in an underground mine design
Proceedings of the 3rd International Conference on Control Theory and Applications, 564567, IEEE Press, 2001