Edit Profile (opens in new tab) Rubinstein, J. Hyam Co-Author Distance Author ID: rubinstein.j-hyam Published as: Rubinstein, J. H.; Rubinstein, J. Hyam; Rubinstein, Hyam; Rubinstein, Joachim Hyam; Rubinstein, H.; Rubinstein, Joachim H.; Rubinstein, J. Hyam.; Hyam Rubinstein, J.; Rubinstein, J. more...less Homepage: http://www.ms.unimelb.edu.au/~rubin/ External Links: Celebratio Mathematica · MGP · ORCID · Wikidata · ResearchGate · dblp · GND · IdRef Documents Indexed: 165 Publications since 1972, including 1 Book and 15 Additional arXiv Preprints 2 Contributions as Editor Biographic References: 2 Publications Co-Authors: 67 Co-Authors with 143 Joint Publications 1,597 Co-Co-Authors all top 5 Co-Authors 21 single-authored 33 Thomas, Doreen Anne 24 Brazil, Marcus N. 18 Jaco, William H. 16 Tillmann, Stephan 14 Aitchison, Iain Roderick 12 Grossman, Peter Alexander 11 Weng, Jia Feng 9 Wormald, Nicholas Charles 8 Hass, Joel 6 Hodgson, Craig D. 6 Kang, Ensil 5 Ayala, José L. 5 Pitts, Jon T. 5 Segerman, Henry 5 Spreer, Jonathan 4 Kirszenblat, David 4 Rubinstein, Benjamin I. P. 4 Scharlemann, Martin G. 4 Sirinanda, K. G. 4 Whittle, David 3 Bartlett, Peter L. 3 Bartolini, Loretta 3 Chang, Alan J. 3 Garoufalidis, Stavros 3 McCullough, Darryl 3 Ozawa, Makoto 3 Sageev, Michah 3 Wang, Shi Cheng 2 Cole, Tim J. 2 Foozwell, Bell 2 Hong, Sungbok 2 Ichihara, Kazuhiro 2 Johnson, Jesse Edward 2 Leviton, P. R. A. 2 Norbury, Paul T. 2 Scott, G. Peter 2 Thompson, Abigail A. 2 Yarmuch, Juan L. 1 Ay, Cafer 1 Bajorski, Peter 1 Bell, Mark Christopher 1 Birman, Joan S. 1 Boileau, Michel Charles 1 Bryant, Birch 1 Burton, Benjamin A. 1 Coffey, James 1 Culler, Marc 1 Du, Ding-Zhu 1 Dunfield, Nathan M. 1 Hall, Peter Gavin 1 Hoffman, Neil R. 1 Kalliongis, John E. 1 Lee, David H. 1 Letscher, David 1 Li, Wei Ping 1 Lumsden, E. 1 Luo, Feng 1 Maher, Joseph 1 Matsumotoi, S. 1 Moriah, Yoav 1 Richard, Jean-Marc 1 Rieck, Yo’av 1 Sedgwick, Eric 1 Sinclair, Robert 1 Sirinanda, Kashyapa 1 Smith, James MacGregor 1 Vannini, Walter all top 5 Serials 8 Journal of Global Optimization 7 Algebraic & Geometric Topology 6 Proceedings of the American Mathematical Society 5 Communications in Analysis and Geometry 4 Journal of Combinatorial Theory. Series A 4 Journal of Differential Geometry 4 Michigan Mathematical Journal 4 Topology 4 Transactions of the American Mathematical Society 3 Geometriae Dedicata 3 Journal of Knot Theory and its Ramifications 3 Geometry & Topology 3 Optimization and Engineering 3 Journal of Topology 2 Advances in Mathematics 2 Bulletin of the London Mathematical Society 2 Commentarii Mathematici Helvetici 2 Illinois Journal of Mathematics 2 Inventiones Mathematicae 2 Journal of Computer and System Sciences 2 Mathematische Annalen 2 Networks 2 Pacific Journal of Mathematics 2 Proceedings of the London Mathematical Society. Third Series 2 Topology and its Applications 2 Discrete & Computational Geometry 2 Computers & Operations Research 2 Proceedings of the National Academy of Sciences of the United States of America 2 Bulletin of the American Mathematical Society. New Series 2 Experimental Mathematics 2 Turkish Journal of Mathematics 2 International Transactions in Operational Research 2 The Asian Journal of Mathematics 1 Discrete Mathematics 1 Israel Journal of Mathematics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Compositio Mathematica 1 Indiana University Mathematics Journal 1 Journal of Optimization Theory and Applications 1 Proceedings of the Japan Academy. Series A 1 Algorithmica 1 SIAM Journal on Discrete Mathematics 1 Annals of Operations Research 1 International Journal of Computational Geometry & Applications 1 L’Enseignement Mathématique. 2e Série 1 European Journal of Operational Research 1 Journal of the Australian Mathematical Society. Series A 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Statistica Sinica 1 Journal of Combinatorial Optimization 1 The ANZIAM Journal 1 Journal of the Australian Mathematical Society 1 Journal of Machine Learning Research (JMLR) 1 Contemporary Mathematics 1 Lecture Notes in Mathematics 1 Combinatorial Optimization all top 5 Fields 107 Manifolds and cell complexes (57-XX) 27 Operations research, mathematical programming (90-XX) 24 Differential geometry (53-XX) 15 Combinatorics (05-XX) 10 Computer science (68-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 6 Convex and discrete geometry (52-XX) 4 Numerical analysis (65-XX) 3 Geometry (51-XX) 3 Algebraic topology (55-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 General and overarching topics; collections (00-XX) 2 Group theory and generalizations (20-XX) 2 General topology (54-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Algebraic geometry (14-XX) 1 Functional analysis (46-XX) 1 Statistics (62-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 123 Publications have been cited 999 times in 662 Documents Cited by ▼ Year ▼ 0-efficient triangulations of 3-manifolds. Zbl 1068.57023 Jaco, William; Rubinstein, J. Hyam 67 2003 Comparing Heegaard splittings of non-Haken 3-manifolds. Zbl 0858.57020 Rubinstein, Hyam; Scharlemann, Martin 41 1996 An algorithm to recognize the 3-sphere. Zbl 0864.57009 Rubinstein, Joachim H. 33 1995 Involutions and isotopies of lens spaces. Zbl 0605.57022 Hodgson, Craig; Rubinstein, J. H. 33 1985 Heegaard structures of negatively curved 3-manifolds. Zbl 0890.57025 Moriah, Yoav; Rubinstein, Hyam 30 1997 Minimal triangulations for an infinite family of lens spaces. Zbl 1227.57026 Jaco, William; Rubinstein, Hyam; Tillmann, Stephan 29 2009 Polyhedral minimal surfaces, Heegaard splittings and decision problems for 3-dimensional manifolds. Zbl 0889.57021 Rubinstein, J. H. 27 1997 PL minimal surfaces in 3-manifolds. Zbl 0652.57005 Jaco, William; Rubinstein, J. Hyam 25 1988 \(\pi_1\)-injective surfaces in graph manifolds. Zbl 0916.57001 Rubinstein, J. Hyam; Wang, Shicheng 24 1998 A variational approach to the Steiner network problem. Zbl 0734.05040 Rubinstein, J. H.; Thomas, D. A. 24 1991 Incompressible surfaces in once-punctured torus bundles. Zbl 0515.57002 Culler, M.; Jaco, W.; Rubinstein, H. 21 1982 On 3-manifolds that have finite fundamental group and contain Klein bottles. Zbl 0414.57005 Rubinstein, J. H. 21 1979 1-efficient triangulations and the index of a cusped hyperbolic 3-manifold. Zbl 1330.57029 Garoufalidis, Stavros; Hodgson, Craig D.; Rubinstein, J. Hyam; Segerman, Henry 21 2015 PL equivariant surgery and invariant decompositions of 3-manifolds. Zbl 0682.57005 Jaco, William; Rubinstein, J. Hyam 19 1989 Combinatorial cubings, cusps, and the dodecahedral knots. Zbl 0773.57010 Aitchison, I. R.; Rubinstein, J. H. 17 1992 Coverings and minimal triangulations of 3-manifolds. Zbl 1229.57010 Jaco, William; Rubinstein, J. Hyam; Tillmann, Stephan 17 2011 Equivariant minimax and minimal surfaces in geometric three-manifolds. Zbl 0665.49034 Pitts, Jon T.; Rubinstein, J. H. 16 1988 Veering triangulations admit strict angle structures. Zbl 1246.57034 Hodgson, Craig D.; Rubinstein, J. Hyam; Segerman, Henry; Tillmann, Stephan 16 2011 The Steiner ratio conjecture for six points. Zbl 0739.05034 Rubinstein, J. H.; Thomas, D. A. 16 1991 One-sided Heegaard splittings of 3-manifolds. Zbl 0394.57013 Rubinstein, J. H. 16 1978 Ideal triangulations of 3–manifolds I: spun normal surface theory. Zbl 1085.57016 Kang, Ensil; Rubinstein, J. Hyam 15 2004 Diffeomorphisms of elliptic 3-manifolds. Zbl 1262.57001 Hong, Sungbok; Kalliongis, John; McCullough, Darryl; Rubinstein, J. Hyam 15 2012 Gradient-constrained minimum networks. I: Fundamentals. Zbl 1068.90605 Brazil, M.; Rubinstein, J. H.; Thomas, D. A.; Weng, J. F.; Wormald, N. C. 13 2001 Advances in Steiner trees. Zbl 0932.00010 12 2000 Minimal surfaces in geometric 3-manifolds. Zbl 1119.53042 Rubinstein, J. Hyam 12 2005 Applications of minimax to minimal surfaces and the topology of 3- manifolds. Zbl 0639.49030 Pitts, Jon T.; Rubinstein, J. H. 11 1987 Morse theory for min-type functions. Zbl 0921.58006 Gershkovich, V.; Rubinstein, H. 11 1997 An introduction to polyhedral metrics of non-positive curvature on 3- manifolds. Zbl 0735.57005 Aitchison, I. R.; Rubinstein, J. H. 11 1990 A geometric approach to sample compression. Zbl 1283.68301 Rubinstein, Benjamin I. P.; Rubinstein, J. Hyam 11 2012 Algorithms for essential surfaces in 3-manifolds. Zbl 1012.57029 Jaco, William; Letscher, David; Rubinstein, J. Hyam 10 2002 Visualizing Ricci flow of manifolds of revolution. Zbl 1081.53055 Rubinstein, J. Hyam; Sinclair, Robert 10 2005 Steiner trees for terminals constrained to curves. Zbl 0869.05023 Rubinstein, J. H.; Thomas, D. A.; Wormald, N. C. 10 1997 Triangulations of hyperbolic 3-manifolds admitting strict angle structures. Zbl 1262.57018 Hodgson, Craig D.; Rubinstein, J. Hyam; Segerman, Henry 10 2012 Boundary slopes of immersed surfaces in 3-manifolds. Zbl 0978.57016 Hass, Joel; Rubinstein, J. Hyam; Wang, Shicheng 9 1999 Ideal triangulations of 3-manifolds II; taut and angle structures. Zbl 1096.57018 Kang, Ensil; Rubinstein, J. Hyam 9 2005 Graham’s problem on shortest networks for points on a circle. Zbl 0748.05051 Rubinstein, J. H.; Thomas, D. A. 9 1992 Cusp structures of alternating links. Zbl 0810.57010 Aitchison, I. R.; Lumsden, E.; Rubinstein, J. H. 9 1992 Minimum networks for four points in space. Zbl 1009.05042 Rubinstein, J. H.; Thomas, D. A.; Weng, J. 9 2002 One-sided Heegaard splittings and homeotopy groups of some 3-manifolds. Zbl 0527.57003 Rubinstein, J. H.; Birman, J. S. 8 1984 Introduction to the theory of Haken \(n\)-manifolds. Zbl 1335.57038 Foozwell, Bell; Rubinstein, Hyam 8 2011 The 3D-index and normal surfaces. Zbl 1378.57030 Garoufalidis, Stavros; Hodgson, Craig D.; Hoffman, Neil R.; Rubinstein, J. Hyam 8 2016 Multisections of piecewise linear manifolds. Zbl 1460.57031 Rubinstein, J.; Tillmann, Stephan 8 2020 \(\mathbb Z_2\)-Thurston norm and complexity of 3-manifolds. Zbl 1277.57021 Jaco, William; Rubinstein, J. Hyam; Tillmann, Stephan 8 2013 Genus two Heegaard splittings of orientable three-manifolds. Zbl 0962.57013 Rubinstein, Hyam; Scharlemann, Martin 7 1999 The Weber-Seifert dodecahedral space is non-Haken. Zbl 1250.57033 Burton, Benjamin A.; Rubinstein, J. Hyam; Tillmann, Stephan 7 2012 Fibered knots and involutions on homotopy spheres. Zbl 0567.57015 Aitchison, I. R.; Rubinstein, J. H. 7 1984 Mapping class groups of Heegaard splittings. Zbl 1278.57029 Johnson, Jesse; Rubinstein, Hyam 7 2013 Problems around 3-manifolds. Zbl 1139.57019 Rubinstein, J. H. 6 2007 Immersed surfaces in cubed manifolds. Zbl 0935.57033 Aitchison, I. R.; Matsumotoi, S.; Rubinstein, J. H. 6 1997 Shifting: one-inclusion mistake bounds and sample compression. Zbl 1158.68452 Rubinstein, Benjamin I. P.; Bartlett, Peter L.; Rubinstein, J. Hyam 6 2009 The Steiner ratio conjecture for cocircular points. Zbl 0774.05031 Rubinstein, J. H.; Thomas, D. A. 6 1992 Minimal Steiner trees for rectangular arrays of lattice points. Zbl 0883.05038 Brazil, M.; Rubinstein, J. H.; Thomas, D. A.; Weng, J. F.; Wormald, N. C. 6 1997 Free actions of some finite groups on \(S^3\). I. Zbl 0382.57019 Rubinstein, J. H. 6 1979 The classification of homotopy classes of bounded curvature paths. Zbl 1354.53007 Ayala, José; Rubinstein, Hyam 6 2016 Curvature-constrained directional-cost paths in the plane. Zbl 1259.49068 Chang, Alan J.; Brazil, Marcus; Rubinstein, J. Hyam; Thomas, Doreen A. 6 2012 Minimal Steiner trees for \(2^ k \times 2^ k\) square lattices. Zbl 0844.05036 Brazil, M.; Cole, T.; Rubinstein, J. H.; Thomas, D. A.; Weng, J. F.; Wormald, N. C. 5 1996 Compactifying coverings of closed 3-manifolds. Zbl 0693.57011 Hass, Joel; Rubinstein, Hyam; Scott, Peter 5 1989 Degree-five Steiner points cannot reduce network costs for planar sets. Zbl 0774.05032 Rubinstein, J. H.; Thomas, D. A.; Weng, J. F. 5 1992 Dehn’s lemma and handle decompositions of some 4-manifolds. Zbl 0446.57025 Rubinstein, J. H. 5 1980 Maximizing the net present value of a Steiner tree. Zbl 1338.90434 Sirinanda, K. G.; Brazil, M.; Grossman, P. A.; Rubinstein, J. H.; Thomas, D. A. 5 2015 On the Neuwirth conjecture for knots. Zbl 1280.57008 Ozawa, Makoto; Rubinstein, Joachim Hyam 5 2013 Computing trisections of 4-manifolds. Zbl 1420.57057 Bell, Mark; Hass, Joel; Rubinstein, Joachim Hyam; Tillmann, Stephan 5 2018 Polyhedral metrics and 3-manifolds which are virtual bundles. Zbl 0930.57015 Aitchison, I. R.; Rubinstein, J. H. 4 1999 Compression theorems and Steiner ratios on spheres. Zbl 0895.90173 Rubinstein, J. H.; Weng, J. F. 4 1997 Period three actions on the three-sphere. Zbl 1037.57012 Maher, J.; Rubinstein, J. Hyam 4 2003 Minimal spheres of arbitrarily high Morse index. Zbl 1104.53055 Hass, Joel; Norbury, Paul; Rubinstein, J. Hyam 4 2003 Existence of minimal surfaces of bounded topological type in three- manifolds. Zbl 0602.49028 Pitts, Jon T.; Rubinstein, J. H. 4 1986 Comparing Heegaard splittings – the bounded case. Zbl 0892.57009 Rubinstein, Hyam; Scharlemann, Martin 4 1998 On Scott’s core theorem. Zbl 0709.57012 Rubinstein, J. H.; Swarup, G. A. 4 1990 Intersection patterns of essential surfaces in 3-manifolds. Zbl 0924.57023 Rubinstein, Hyam; Sageev, Michah 4 1999 Canonical surgery on alternating link diagrams. Zbl 0765.57005 Aitchison, I. R.; Rubinstein, J. H. 4 1992 Inflations of ideal triangulations. Zbl 1304.57034 Jaco, William; Rubinstein, J. Hyam 4 2014 Note on spun normal surfaces in 1-efficient ideal triangulations. Zbl 1347.57024 Kang, Ensil; Rubinstein, Joachim Hyam 4 2015 Bounding embeddings of VC classes into maximum classes. Zbl 1357.68182 Rubinstein, J. Hyam; Rubinstein, Benjamin I. P.; Bartlett, Peter L. 4 2015 Triangulations of \(3\)-manifolds with essential edges. Zbl 1379.57031 Hodgson, Craig D.; Rubinstein, J. Hyam; Segerman, Henry; Tillmann, Stephan 4 2015 Finiteness of 3-manifolds associated with non-zero degree mappings. Zbl 1290.57001 Boileau, Michel; Rubinstein, J. Hyam; Wang, Shicheng 4 2014 Generalized trisections in all dimensions. Zbl 1421.57032 Rubinstein, J. Hyam; Tillmann, Stephan 4 2018 Approximations and lower bounds for the length of minimal Euclidean Steiner trees. Zbl 1133.90408 Rubinstein, J. H.; Weng, J.; Wormald, N. 3 2006 Finding planar surfaces in knot- and link-manifolds. Zbl 1176.57024 Jaco, William; Rubinstein, J. Hyam; Sedgwick, Eric 3 2009 Optimally locating a junction point for an underground mine to maximise the net present value. Zbl 1386.90037 Sirinanda, Kashyapa; Brazil, Marcus; Grossman, Peter; Rubinstein, Hyam; Thomas, Doreen 3 2013 A polynomial algorithm for a constrained traveling salesman problem. Zbl 0990.90102 Rubinstein, J. H.; Thomas, D. A.; Wormald, N. C. 3 2001 Surfaces in the figure-8 knot complement. Zbl 0924.57018 Aitchison, I. R.; Matsumoto, S.; Rubinstein, J. H. 3 1998 One-sided closed geodesics on surfaces. Zbl 0614.53035 Hass, Joel; Rubinstein, J. H. 3 1986 Full minimal Steiner trees on lattice sets. Zbl 0874.05018 Brazil, M.; Rubinstein, J. H.; Thomas, D. A.; Weng, J. F.; Wormald, N. C. 3 1997 Transverse Heegaard splittings. Zbl 0907.57013 Rubinstein, Hyam; Scharlemann, Martin 3 1997 Incompressible surfaces and the topology of 3-dimensional manifolds. Zbl 0813.57017 Aitchison, Iain R.; Rubinstein, J. Hyam 3 1993 An algorithm to recognise small Seifert fiber spaces. Zbl 1061.57023 Rubinstein, J. Hyam 2 2004 Geodesic surfaces in knot complements. Zbl 0891.57017 Aitchison, Iain R.; Rubinstein, J. Hyam 2 1997 Covering spaces of 3-manifolds. Zbl 0624.57016 Hass, Joel; Rubinstein, Hyam; Scott, Peter 2 1987 Even triangulations of \(n\)-dimensional pseudo-manifolds. Zbl 1346.57014 Rubinstein, J. Hyam; Tillmann, Stephan 2 2015 Gradient-constrained discounted Steiner trees. I: Optimal tree configurations. Zbl 1346.90792 Sirinanda, K. G.; Brazil, M.; Grossman, P. A.; Rubinstein, J. H.; Thomas, D. A. 2 2016 Four-dimensional Haken cobordism theory. Zbl 1375.57027 Foozwell, Bell; Rubinstein, Hyam 2 2016 Comparing open book and Heegaard decompositions of 3-manifolds. Zbl 1045.57008 Rubinstein, J. Hyam 2 2003 Optimum ramp design in open pit mines. Zbl 1458.90678 Yarmuch, Juan L.; Brazil, Marcus; Rubinstein, Hyam; Thomas, Doreen A. 2 2020 A geometric approach to shortest bounded curvature paths. Zbl 1401.49060 Ayala, José; Kirszenblat, David; Rubinstein, Hyam 2 2018 Counting essential surfaces in \(3\)-manifolds. Zbl 1490.57017 Dunfield, Nathan M.; Garoufalidis, Stavros; Rubinstein, J. Hyam 2 2022 Invariant Heegaard surfaces in manifolds with involutions and the Heegaard genus of double covers. Zbl 1222.57014 Rieck, Yo’av; Rubinstein, J. Hyam 2 2009 \(\mathbb{Z}_2\)-Thurston norm and complexity of 3-manifolds. II. Zbl 1443.57013 Jaco, William; Rubinstein, Hyam; Spreer, Jonathan; Tillmann, Stephan 2 2020 On minimal ideal triangulations of cusped hyperbolic 3-manifolds. Zbl 1444.57018 Jaco, William; Rubinstein, Hyam; Spreer, Jonathan; Tillmann, Stephan 2 2020 Traversing three-manifold triangulations and spines. Zbl 1448.57031 Rubinstein, J. Hyam; Segerman, Henry; Tillmann, Stephan 2 2019 A model for open-pit pushback design with operational constraints. Zbl 1519.90132 Yarmuch, Juan L.; Brazil, Marcus; Rubinstein, Hyam; Thomas, Doreen A. 1 2023 Counting essential surfaces in \(3\)-manifolds. Zbl 1490.57017 Dunfield, Nathan M.; Garoufalidis, Stavros; Rubinstein, J. Hyam 2 2022 Solving the prize-collecting Euclidean Steiner tree problem. Zbl 07771166 Whittle, David; Brazil, Marcus; Grossman, Peter A.; Rubinstein, J. Hyam; Thomas, Doreen A. 1 2022 Spun normal surfaces in 3-manifolds. III: Boundary slopes. Zbl 1497.57022 Kang, E.; Rubinstein, J. H. 1 2022 Multisections of piecewise linear manifolds. Zbl 1460.57031 Rubinstein, J.; Tillmann, Stephan 8 2020 Optimum ramp design in open pit mines. Zbl 1458.90678 Yarmuch, Juan L.; Brazil, Marcus; Rubinstein, Hyam; Thomas, Doreen A. 2 2020 \(\mathbb{Z}_2\)-Thurston norm and complexity of 3-manifolds. II. Zbl 1443.57013 Jaco, William; Rubinstein, Hyam; Spreer, Jonathan; Tillmann, Stephan 2 2020 On minimal ideal triangulations of cusped hyperbolic 3-manifolds. Zbl 1444.57018 Jaco, William; Rubinstein, Hyam; Spreer, Jonathan; Tillmann, Stephan 2 2020 Traversing three-manifold triangulations and spines. Zbl 1448.57031 Rubinstein, J. Hyam; Segerman, Henry; Tillmann, Stephan 2 2019 Decomposing Heegaard splittings along separating incompressible surfaces in 3-manifolds. Zbl 1422.57054 Ichihara, Kazuhiro; Ozawa, Makoto; Hyam Rubinstein, J. 1 2019 Computing trisections of 4-manifolds. Zbl 1420.57057 Bell, Mark; Hass, Joel; Rubinstein, Joachim Hyam; Tillmann, Stephan 5 2018 Generalized trisections in all dimensions. Zbl 1421.57032 Rubinstein, J. Hyam; Tillmann, Stephan 4 2018 A geometric approach to shortest bounded curvature paths. Zbl 1401.49060 Ayala, José; Kirszenblat, David; Rubinstein, Hyam 2 2018 Essential normal and spun normal surfaces in 3-manifolds. Zbl 1405.57029 Kang, Ensil; Rubinstein, J. Hyam 2 2018 The 3D-index and normal surfaces. Zbl 1378.57030 Garoufalidis, Stavros; Hodgson, Craig D.; Hoffman, Neil R.; Rubinstein, J. Hyam 8 2016 The classification of homotopy classes of bounded curvature paths. Zbl 1354.53007 Ayala, José; Rubinstein, Hyam 6 2016 Gradient-constrained discounted Steiner trees. I: Optimal tree configurations. Zbl 1346.90792 Sirinanda, K. G.; Brazil, M.; Grossman, P. A.; Rubinstein, J. H.; Thomas, D. A. 2 2016 Four-dimensional Haken cobordism theory. Zbl 1375.57027 Foozwell, Bell; Rubinstein, Hyam 2 2016 Gradient-constrained discounted Steiner trees. II: Optimally locating a discounted Steiner point. Zbl 1336.90099 Sirinanda, K. G.; Brazil, M.; Grossman, P. A.; Rubinstein, J. H.; Thomas, D. A. 1 2016 1-efficient triangulations and the index of a cusped hyperbolic 3-manifold. Zbl 1330.57029 Garoufalidis, Stavros; Hodgson, Craig D.; Rubinstein, J. Hyam; Segerman, Henry 21 2015 Maximizing the net present value of a Steiner tree. Zbl 1338.90434 Sirinanda, K. G.; Brazil, M.; Grossman, P. A.; Rubinstein, J. H.; Thomas, D. A. 5 2015 Note on spun normal surfaces in 1-efficient ideal triangulations. Zbl 1347.57024 Kang, Ensil; Rubinstein, Joachim Hyam 4 2015 Bounding embeddings of VC classes into maximum classes. Zbl 1357.68182 Rubinstein, J. Hyam; Rubinstein, Benjamin I. P.; Bartlett, Peter L. 4 2015 Triangulations of \(3\)-manifolds with essential edges. Zbl 1379.57031 Hodgson, Craig D.; Rubinstein, J. Hyam; Segerman, Henry; Tillmann, Stephan 4 2015 Even triangulations of \(n\)-dimensional pseudo-manifolds. Zbl 1346.57014 Rubinstein, J. Hyam; Tillmann, Stephan 2 2015 Optimal curvature and gradient-constrained directional cost paths in 3-space. Zbl 1347.90077 Chang, Alan J.; Brazil, Marcus; Rubinstein, J. Hyam; Thomas, Doreen A. 1 2015 Inflations of ideal triangulations. Zbl 1304.57034 Jaco, William; Rubinstein, J. Hyam 4 2014 Finiteness of 3-manifolds associated with non-zero degree mappings. Zbl 1290.57001 Boileau, Michel; Rubinstein, J. Hyam; Wang, Shicheng 4 2014 \(\mathbb Z_2\)-Thurston norm and complexity of 3-manifolds. Zbl 1277.57021 Jaco, William; Rubinstein, J. Hyam; Tillmann, Stephan 8 2013 Mapping class groups of Heegaard splittings. Zbl 1278.57029 Johnson, Jesse; Rubinstein, Hyam 7 2013 On the Neuwirth conjecture for knots. Zbl 1280.57008 Ozawa, Makoto; Rubinstein, Joachim Hyam 5 2013 Optimally locating a junction point for an underground mine to maximise the net present value. Zbl 1386.90037 Sirinanda, Kashyapa; Brazil, Marcus; Grossman, Peter; Rubinstein, Hyam; Thomas, Doreen 3 2013 Optimal curvature-constrained paths for general directional-cost functions. Zbl 1294.90016 Chang, Alan J.; Brazil, Marcus; Rubinstein, J. Hyam; Thomas, Doreen A. 1 2013 3-manifolds with Heegaard splittings of distance two. Zbl 1282.57026 Rubinstein, J. Hyam; Thompson, Abigail 1 2013 Diffeomorphisms of elliptic 3-manifolds. Zbl 1262.57001 Hong, Sungbok; Kalliongis, John; McCullough, Darryl; Rubinstein, J. Hyam 15 2012 A geometric approach to sample compression. Zbl 1283.68301 Rubinstein, Benjamin I. P.; Rubinstein, J. Hyam 11 2012 Triangulations of hyperbolic 3-manifolds admitting strict angle structures. Zbl 1262.57018 Hodgson, Craig D.; Rubinstein, J. Hyam; Segerman, Henry 10 2012 The Weber-Seifert dodecahedral space is non-Haken. Zbl 1250.57033 Burton, Benjamin A.; Rubinstein, J. Hyam; Tillmann, Stephan 7 2012 Curvature-constrained directional-cost paths in the plane. Zbl 1259.49068 Chang, Alan J.; Brazil, Marcus; Rubinstein, J. Hyam; Thomas, Doreen A. 6 2012 Coverings and minimal triangulations of 3-manifolds. Zbl 1229.57010 Jaco, William; Rubinstein, J. Hyam; Tillmann, Stephan 17 2011 Veering triangulations admit strict angle structures. Zbl 1246.57034 Hodgson, Craig D.; Rubinstein, J. Hyam; Segerman, Henry; Tillmann, Stephan 16 2011 Introduction to the theory of Haken \(n\)-manifolds. Zbl 1335.57038 Foozwell, Bell; Rubinstein, Hyam 8 2011 Topology and geometry in dimension three. Triangulations, invariants, and geometric structures. Conference in honor of William Jaco’s 70th birthday, Stillwater, OK, USA, June 4–6, 2010. Zbl 1231.57001 1 2011 Minimal triangulations for an infinite family of lens spaces. Zbl 1227.57026 Jaco, William; Rubinstein, Hyam; Tillmann, Stephan 29 2009 Shifting: one-inclusion mistake bounds and sample compression. Zbl 1158.68452 Rubinstein, Benjamin I. P.; Bartlett, Peter L.; Rubinstein, J. Hyam 6 2009 Finding planar surfaces in knot- and link-manifolds. Zbl 1176.57024 Jaco, William; Rubinstein, J. Hyam; Sedgwick, Eric 3 2009 Invariant Heegaard surfaces in manifolds with involutions and the Heegaard genus of double covers. Zbl 1222.57014 Rieck, Yo’av; Rubinstein, J. Hyam 2 2009 Knots and \(k\)-width. Zbl 1189.57005 Hass, Joel; Rubinstein, J. Hyam; Thompson, Abigail 1 2009 Problems around 3-manifolds. Zbl 1139.57019 Rubinstein, J. H. 6 2007 Approximations and lower bounds for the length of minimal Euclidean Steiner trees. Zbl 1133.90408 Rubinstein, J. H.; Weng, J.; Wormald, N. 3 2006 One-sided Heegaard splittings of \(\mathbb R{\text P}^3\). Zbl 1133.57005 Bartolini, Loretta; Rubinstein, J. Hyam 1 2006 Minimal surfaces in geometric 3-manifolds. Zbl 1119.53042 Rubinstein, J. Hyam 12 2005 Visualizing Ricci flow of manifolds of revolution. Zbl 1081.53055 Rubinstein, J. Hyam; Sinclair, Robert 10 2005 Ideal triangulations of 3-manifolds II; taut and angle structures. Zbl 1096.57018 Kang, Ensil; Rubinstein, J. Hyam 9 2005 Cost optimisation for underground mining networks. Zbl 1093.90067 Brazil, Marcus; Thomas, Doreen A.; Weng, Jia F.; Rubinstein, J. Hyam; Lee, David H. 1 2005 Ideal triangulations of 3–manifolds I: spun normal surface theory. Zbl 1085.57016 Kang, Ensil; Rubinstein, J. Hyam 15 2004 An algorithm to recognise small Seifert fiber spaces. Zbl 1061.57023 Rubinstein, J. Hyam 2 2004 Localising Dehn’s lemma and the loop theorem in 3-manifolds. Zbl 1067.57009 Aitchison, I. R.; Rubinstein, J. Hyam 1 2004 0-efficient triangulations of 3-manifolds. Zbl 1068.57023 Jaco, William; Rubinstein, J. Hyam 67 2003 Period three actions on the three-sphere. Zbl 1037.57012 Maher, J.; Rubinstein, J. Hyam 4 2003 Minimal spheres of arbitrarily high Morse index. Zbl 1104.53055 Hass, Joel; Norbury, Paul; Rubinstein, J. Hyam 4 2003 Comparing open book and Heegaard decompositions of 3-manifolds. Zbl 1045.57008 Rubinstein, J. Hyam 2 2003 Triangulations of 3-manifolds. Zbl 1047.57011 Rubinstein, J. Hyam 1 2003 Algorithms for essential surfaces in 3-manifolds. Zbl 1012.57029 Jaco, William; Letscher, David; Rubinstein, J. Hyam 10 2002 Minimum networks for four points in space. Zbl 1009.05042 Rubinstein, J. H.; Thomas, D. A.; Weng, J. 9 2002 Gradient-constrained minimum networks. I: Fundamentals. Zbl 1068.90605 Brazil, M.; Rubinstein, J. H.; Thomas, D. A.; Weng, J. F.; Wormald, N. C. 13 2001 A polynomial algorithm for a constrained traveling salesman problem. Zbl 0990.90102 Rubinstein, J. H.; Thomas, D. A.; Wormald, N. C. 3 2001 Advances in Steiner trees. Zbl 0932.00010 12 2000 Boundary slopes of immersed surfaces in 3-manifolds. Zbl 0978.57016 Hass, Joel; Rubinstein, J. Hyam; Wang, Shicheng 9 1999 Genus two Heegaard splittings of orientable three-manifolds. Zbl 0962.57013 Rubinstein, Hyam; Scharlemann, Martin 7 1999 Polyhedral metrics and 3-manifolds which are virtual bundles. Zbl 0930.57015 Aitchison, I. R.; Rubinstein, J. H. 4 1999 Intersection patterns of essential surfaces in 3-manifolds. Zbl 0924.57023 Rubinstein, Hyam; Sageev, Michah 4 1999 \(\pi_1\)-injective surfaces in graph manifolds. Zbl 0916.57001 Rubinstein, J. Hyam; Wang, Shicheng 24 1998 Comparing Heegaard splittings – the bounded case. Zbl 0892.57009 Rubinstein, Hyam; Scharlemann, Martin 4 1998 Surfaces in the figure-8 knot complement. Zbl 0924.57018 Aitchison, I. R.; Matsumoto, S.; Rubinstein, J. H. 3 1998 Shortest networks on spheres. Zbl 0915.05043 Brazil, M.; Rubinstein, J. H.; Thomas, D. A.; Weng, J. F.; Wormald, N. C. 1 1998 Heegaard structures of negatively curved 3-manifolds. Zbl 0890.57025 Moriah, Yoav; Rubinstein, Hyam 30 1997 Polyhedral minimal surfaces, Heegaard splittings and decision problems for 3-dimensional manifolds. Zbl 0889.57021 Rubinstein, J. H. 27 1997 Morse theory for min-type functions. Zbl 0921.58006 Gershkovich, V.; Rubinstein, H. 11 1997 Steiner trees for terminals constrained to curves. Zbl 0869.05023 Rubinstein, J. H.; Thomas, D. A.; Wormald, N. C. 10 1997 Immersed surfaces in cubed manifolds. Zbl 0935.57033 Aitchison, I. R.; Matsumotoi, S.; Rubinstein, J. H. 6 1997 Minimal Steiner trees for rectangular arrays of lattice points. Zbl 0883.05038 Brazil, M.; Rubinstein, J. H.; Thomas, D. A.; Weng, J. F.; Wormald, N. C. 6 1997 Compression theorems and Steiner ratios on spheres. Zbl 0895.90173 Rubinstein, J. H.; Weng, J. F. 4 1997 Full minimal Steiner trees on lattice sets. Zbl 0874.05018 Brazil, M.; Rubinstein, J. H.; Thomas, D. A.; Weng, J. F.; Wormald, N. C. 3 1997 Transverse Heegaard splittings. Zbl 0907.57013 Rubinstein, Hyam; Scharlemann, Martin 3 1997 Geodesic surfaces in knot complements. Zbl 0891.57017 Aitchison, Iain R.; Rubinstein, J. Hyam 2 1997 Comparing Heegaard splittings of non-Haken 3-manifolds. Zbl 0858.57020 Rubinstein, Hyam; Scharlemann, Martin 41 1996 Minimal Steiner trees for \(2^ k \times 2^ k\) square lattices. Zbl 0844.05036 Brazil, M.; Cole, T.; Rubinstein, J. H.; Thomas, D. A.; Weng, J. F.; Wormald, N. C. 5 1996 An algorithm to recognize the 3-sphere. Zbl 0864.57009 Rubinstein, Joachim H. 33 1995 The topology of minimal surfaces in Seifert fiber spaces. Zbl 0866.57011 Pitts, Jon T.; Rubinstein, J. H. 1 1995 Incompressible surfaces and the topology of 3-dimensional manifolds. Zbl 0813.57017 Aitchison, Iain R.; Rubinstein, J. Hyam 3 1993 The Steiner minimal network for convex configurations. Zbl 0774.05033 Thomas, D. A.; Rubinstein, J. H.; Cole, T. 1 1993 Existence of unstable minimal surfaces in manifolds with homology and applications to triply periodic minimal surfaces. Zbl 0798.53009 Hass, Joel; Pitts, Jon T.; Rubinstein, J. H. 1 1993 Combinatorial cubings, cusps, and the dodecahedral knots. Zbl 0773.57010 Aitchison, I. R.; Rubinstein, J. H. 17 1992 Graham’s problem on shortest networks for points on a circle. Zbl 0748.05051 Rubinstein, J. H.; Thomas, D. A. 9 1992 Cusp structures of alternating links. Zbl 0810.57010 Aitchison, I. R.; Lumsden, E.; Rubinstein, J. H. 9 1992 The Steiner ratio conjecture for cocircular points. Zbl 0774.05031 Rubinstein, J. H.; Thomas, D. A. 6 1992 Degree-five Steiner points cannot reduce network costs for planar sets. Zbl 0774.05032 Rubinstein, J. H.; Thomas, D. A.; Weng, J. F. 5 1992 Canonical surgery on alternating link diagrams. Zbl 0765.57005 Aitchison, I. R.; Rubinstein, J. H. 4 1992 A variational approach to the Steiner network problem. Zbl 0734.05040 Rubinstein, J. H.; Thomas, D. A. 24 1991 ...and 23 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 669 Authors 51 Rubinstein, J. Hyam 36 Thomas, Doreen Anne 24 Brazil, Marcus N. 14 Tillmann, Stephan 13 Burton, Benjamin A. 13 Garoufalidis, Stavros 12 Weng, Jia Feng 11 Bachman, David 10 Hass, Joel 10 Li, Tao 9 Fominykh, Evgeny Anatol’evich 9 Johnson, Jesse Edward 9 Scharlemann, Martin G. 9 Tomova, Maggy 8 Grossman, Peter Alexander 8 Kang, Ensil 8 Reid, Alan W. 8 Taylor, Scott A. 8 Vesnin, Andrei Yu. 7 Agol, Ian 7 Bobrowski, Omer 7 Dimofte, Tudor Dan 7 Du, Ding-Zhu 7 Jaco, William H. 7 Minsky, Yair N. 7 Moriah, Yoav 7 Purcell, Jessica Shepherd 7 Segerman, Henry 7 Spreer, Jonathan 6 Lackenby, Marc 6 Sedgwick, Eric 5 Baker, Mark D. 5 Blair, Ryan C. 5 Boileau, Michel Charles 5 Chepoi, Victor D. 5 Cooper, Daryl 5 Dunfield, Nathan M. 5 Hillman, Jonathan Arthur 5 Liu, Yi 5 Luo, Feng 5 Moran, Shay 5 Niblo, Graham A. 5 Schleimer, Saul 5 Taylor, Samuel Joseph 5 Thurston, William Paul 5 Wise, Daniel T. 5 Wormald, Nicholas Charles 4 Boyer, Steven 4 Cole, Tim J. 4 Derby-Talbot, Ryan 4 Friedl, Stefan 4 Futer, David 4 Gordon, Cameron McA. 4 Hodgson, Craig D. 4 Hoffman, Neil R. 4 Huang, Zheng 4 Koda, Yuya 4 Ozawa, Makoto 4 Rieck, Yo’av 4 Saeki, Osamu 4 Sirinanda, K. G. 4 Walsh, Genevieve S. 4 Wang, Shi Cheng 3 Aitchison, Iain Roderick 3 Amendola, Gennaro 3 Baker, Kenneth L. 3 Casali, Maria Rita 3 Cristofori, Paola 3 Gang, Dongmin 3 Grebenev, Vladimir N. 3 Guéritaud, François 3 Gukov, Sergei 3 Howie, Joshua Andrew 3 Ichihara, Kazuhiro 3 Islambouli, Gabriel 3 Kalelkar, Tejas 3 Kobayashi, Tsuyoshi 3 Kwasik, Sławomir 3 Landry, Michael P. 3 Lee, Christine Ruey Shan 3 Maher, Joseph 3 Mulazzani, Michele 3 Nguyen, Hoang Thanh 3 Oberlack, Martin 3 Paoluzzi, Luisa 3 Ras, Charl J. 3 Sakuma, Makoto 3 Scott, G. Peter 3 Takao, Kazuto 3 Thompson, Abigail A. 3 Wagner, Uli 3 Wang, Biao 3 Wang, Tongrui 3 Warmuth, Manfred K. 3 Whittle, David 3 Worden, William 3 Zilles, Sandra 3 Zimmermann, Bruno P. 3 Zou, Yanqing 2 Abu-Affash, A. Karim ...and 569 more Authors all top 5 Cited in 172 Serials 61 Algebraic & Geometric Topology 50 Topology and its Applications 36 Geometry & Topology 35 Transactions of the American Mathematical Society 31 Journal of Knot Theory and its Ramifications 25 Proceedings of the American Mathematical Society 23 Geometriae Dedicata 13 Inventiones Mathematicae 12 Journal of Topology 11 Mathematische Annalen 10 Discrete & Computational Geometry 9 Algorithmica 9 Journal of the American Mathematical Society 9 Experimental Mathematics 8 Advances in Mathematics 8 Bulletin of the American Mathematical Society. New Series 8 Journal of High Energy Physics 7 Duke Mathematical Journal 7 Journal of Combinatorial Theory. Series A 7 Journal of Global Optimization 7 International Transactions in Operational Research 6 Networks 6 Annales de la Faculté des Sciences de Toulouse. Mathématiques. 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Zeitschrift für angewandte Mathematik und Physik 1 Mathematics of Computation 1 ACM Transactions on Mathematical Software ...and 72 more Serials all top 5 Cited in 41 Fields 471 Manifolds and cell complexes (57-XX) 78 Combinatorics (05-XX) 73 Differential geometry (53-XX) 53 Operations research, mathematical programming (90-XX) 51 Group theory and generalizations (20-XX) 46 Computer science (68-XX) 25 Algebraic topology (55-XX) 24 Global analysis, analysis on manifolds (58-XX) 19 Convex and discrete geometry (52-XX) 18 Quantum theory (81-XX) 11 Geometry (51-XX) 10 Probability theory and stochastic processes (60-XX) 9 Algebraic geometry (14-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 8 Functions of a complex variable (30-XX) 6 Number theory (11-XX) 5 Partial differential equations (35-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Numerical analysis (65-XX) 4 History and biography (01-XX) 4 Topological groups, Lie groups (22-XX) 4 Several complex variables and analytic spaces (32-XX) 4 General topology (54-XX) 4 Relativity and gravitational theory (83-XX) 3 General and overarching topics; collections (00-XX) 3 Functional analysis (46-XX) 3 Statistics (62-XX) 3 Mechanics of particles and systems (70-XX) 3 Fluid mechanics (76-XX) 3 Information and communication theory, circuits (94-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Abstract harmonic analysis (43-XX) 2 Systems theory; control (93-XX) 1 Mathematical logic and foundations (03-XX) 1 Commutative algebra (13-XX) 1 \(K\)-theory (19-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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