Edit Profile Rubinstein, J. Hyam Compute Distance To: Compute Author ID: rubinstein.j-hyam Published as: Hyam Rubinstein, J.; Rubinstein, H.; Rubinstein, Hyam; Rubinstein, J.; Rubinstein, J. H.; Rubinstein, J. Hyam; Rubinstein, J. Hyam.; Rubinstein, Joachim H.; Rubinstein, Joachim Hyam Homepage: http://www.ms.unimelb.edu.au/~rubin/ External Links: MGP · Wikidata · Celebratio Mathematica · ORCID · ResearchGate · dblp · GND Documents Indexed: 145 Publications since 1972, including 3 Books Biographic References: 2 Publications all top 5 Co-Authors 21 single-authored 28 Thomas, Doreen Anne 19 Brazil, Marcus N. 14 Aitchison, Iain Roderick 13 Jaco, William H. 13 Tillmann, Stephan 12 Weng, Jia Feng 9 Wormald, Nicholas Charles 8 Grossman, Peter Alexander 8 Hass, Joel 6 Hodgson, Craig D. 5 Pitts, Jon T. 5 Segerman, Henry 4 Kang, Ensil 4 Rubinstein, Benjamin I. P. 4 Scharlemann, Martin G. 4 Sirinanda, K. G. 3 Bartlett, Peter L. 3 Chang, Alan J. 3 Sageev, Michah 3 Wang, Shi Cheng 2 Ayala, José L. 2 Bartolini, Loretta 2 Foozwell, Bell 2 Garoufalidis, Stavros 2 Johnson, Jesse Edward 2 Kirszenblat, David 2 Leviton, P. R. A. 2 Matsumoto, Shogo 2 Norbury, Paul T. 2 Ozawa, Makoto 2 Scott, G. Peter 2 Spreer, Jonathan 2 Thompson, Abigail A. 1 Bajorski, Peter 1 Bell, Mark Christopher 1 Birman, Joan S. 1 Boileau, Michel Charles 1 Burton, Benjamin A. 1 Coffey, James 1 Cole, Tim J. 1 Cole, Timothy J. 1 Culler, Marc 1 Du, Ding-Zhu 1 Gardiner, Crispin W. 1 Gershkovich, Vladimir 1 Hall, Peter Gavin 1 Hoffman, Neil R. 1 Hong, Sungbok 1 Ichihara, Kazuhiro 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 McCullough, Darryl 1 Moriah, Yoav 1 Myers, Robert C. 1 Rieck, Yo’av 1 Sedgwick, Eric 1 Sinclair, Robert 1 Sirinanda, Kashyapa 1 Smith, Joan M. 1 Swarup, G. Ananda 1 Vannini, Walter 1 Whittle, D. 1 Yarmuch, Juan L. all top 5 Serials 8 Journal of Global Optimization 6 Algebraic & Geometric Topology 5 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 Journal of Topology 2 Advances in Mathematics 2 Bulletin of the London Mathematical Society 2 Commentarii Mathematici Helvetici 2 Illinois Journal of Mathematics 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 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 The Asian Journal of Mathematics 2 Optimization and Engineering 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 Inventiones Mathematicae 1 Journal of Optimization Theory and Applications 1 Proceedings of the Japan Academy. Series A 1 Topology and its Applications 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 93 Manifolds and cell complexes (57-XX) 23 Differential geometry (53-XX) 23 Operations research, mathematical programming (90-XX) 15 Combinatorics (05-XX) 9 Computer science (68-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 6 Convex and discrete geometry (52-XX) 4 Numerical analysis (65-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 Geometry (51-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 107 Publications have been cited 764 times in 522 Documents Cited by ▼ Year ▼ 0-efficient triangulations of 3-manifolds. Zbl 1068.57023Jaco, William; Rubinstein, J. Hyam 49 2003 Comparing Heegaard splittings of non-Haken 3-manifolds. Zbl 0858.57020Rubinstein, Hyam; Scharlemann, Martin 37 1996 An algorithm to recognize the 3-sphere. Zbl 0864.57009Rubinstein, Joachim H. 30 1995 Heegaard structures of negatively curved 3-manifolds. Zbl 0890.57025Moriah, Yoav; Rubinstein, Hyam 27 1997 Polyhedral minimal surfaces, Heegaard splittings and decision problems for 3-dimensional manifolds. Zbl 0889.57021Rubinstein, J. H. 25 1997 Involutions and isotopies of lens spaces. Zbl 0605.57022Hodgson, Craig; Rubinstein, J. H. 25 1985 \(\pi_1\)-injective surfaces in graph manifolds. Zbl 0916.57001Rubinstein, J. Hyam; Wang, Shicheng 24 1998 A variational approach to the Steiner network problem. Zbl 0734.05040Rubinstein, J. H.; Thomas, D. A. 24 1991 Minimal triangulations for an infinite family of lens spaces. Zbl 1227.57026Jaco, William; Rubinstein, Hyam; Tillmann, Stephan 23 2009 PL minimal surfaces in 3-manifolds. Zbl 0652.57005Jaco, William; Rubinstein, J. Hyam 23 1988 Incompressible surfaces in once-punctured torus bundles. Zbl 0515.57002Culler, M.; Jaco, W.; Rubinstein, H. 19 1982 PL equivariant surgery and invariant decompositions of 3-manifolds. Zbl 0682.57005Jaco, William; Rubinstein, J. Hyam 18 1989 On 3-manifolds that have finite fundamental group and contain Klein bottles. Zbl 0414.57005Rubinstein, J. H. 18 1979 1-efficient triangulations and the index of a cusped hyperbolic 3-manifold. Zbl 1330.57029Garoufalidis, Stavros; Hodgson, Craig D.; Rubinstein, J. Hyam; Segerman, Henry 14 2015 Coverings and minimal triangulations of 3-manifolds. Zbl 1229.57010Jaco, William; Rubinstein, J. Hyam; Tillmann, Stephan 14 2011 The Steiner ratio conjecture for six points. Zbl 0739.05034Rubinstein, J. H.; Thomas, D. A. 14 1991 Ideal triangulations of 3–manifolds I: spun normal surface theory. Zbl 1085.57016Kang, Ensil; Rubinstein, J. Hyam 13 2004 Gradient-constrained minimum networks. I: Fundamentals. Zbl 1068.90605Brazil, M.; Rubinstein, J. H.; Thomas, D. A.; Weng, J. F.; Wormald, N. C. 13 2001 Combinatorial cubings, cusps, and the dodecahedral knots. Zbl 0773.57010Aitchison, I. R.; Rubinstein, J. H. 13 1992 One-sided Heegaard splittings of 3-manifolds. Zbl 0394.57013Rubinstein, J. H. 12 1978 Minimal surfaces in geometric 3-manifolds. Zbl 1119.53042Rubinstein, J. Hyam 11 2005 An introduction to polyhedral metrics of non-positive curvature on 3- manifolds. Zbl 0735.57005Aitchison, I. R.; Rubinstein, J. H. 11 1990 Equivariant minimax and minimal surfaces in geometric three-manifolds. Zbl 0665.49034Pitts, Jon T.; Rubinstein, J. H. 10 1988 Boundary slopes of immersed surfaces in 3-manifolds. Zbl 0978.57016Hass, Joel; Rubinstein, J. Hyam; Wang, Shicheng 9 1999 A geometric approach to sample compression. Zbl 1283.68301Rubinstein, Benjamin I. P.; Rubinstein, J. Hyam 8 2012 Veering triangulations admit strict angle structures. Zbl 1246.57034Hodgson, Craig D.; Rubinstein, J. Hyam; Segerman, Henry; Tillmann, Stephan 8 2011 Algorithms for essential surfaces in 3-manifolds. Zbl 1012.57029Jaco, William; Letscher, David; Rubinstein, J. Hyam 8 2002 Minimum networks for four points in space. Zbl 1009.05042Rubinstein, J. H.; Thomas, D. A.; Weng, J. 8 2002 Visualizing Ricci flow of manifolds of revolution. Zbl 1081.53055Rubinstein, J. Hyam; Sinclair, Robert 7 2005 Advances in Steiner trees. Zbl 0932.00010Du, Ding-Zhu (ed.); Smith, J. M. (ed.); Rubinstein, J. H. (ed.) 7 2000 Graham’s problem on shortest networks for points on a circle. Zbl 0748.05051Rubinstein, J. H.; Thomas, D. A. 7 1992 Applications of minimax to minimal surfaces and the topology of 3- manifolds. Zbl 0639.49030Pitts, Jon T.; Rubinstein, J. H. 7 1987 Mapping class groups of Heegaard splittings. Zbl 1278.57029Johnson, Jesse; Rubinstein, Hyam 6 2013 Diffeomorphisms of elliptic 3-manifolds. Zbl 1262.57001Hong, Sungbok; Kalliongis, John; McCullough, Darryl; Rubinstein, J. Hyam 6 2012 Shifting: one-inclusion mistake bounds and sample compression. Zbl 1158.68452Rubinstein, Benjamin I. P.; Bartlett, Peter L.; Rubinstein, J. Hyam 6 2009 Ideal triangulations of 3-manifolds II; taut and angle structures. Zbl 1096.57018Kang, Ensil; Rubinstein, J. Hyam 6 2005 Steiner trees for terminals constrained to curves. Zbl 0869.05023Rubinstein, J. H.; Thomas, D. A.; Wormald, N. C. 6 1997 Cusp structures of alternating links. Zbl 0810.57010Aitchison, I. R.; Lumsden, E.; Rubinstein, J. H. 6 1992 Fibered knots and involutions on homotopy spheres. Zbl 0567.57015Aitchison, I. R.; Rubinstein, J. H. 6 1984 One-sided Heegaard splittings and homeotopy groups of some 3-manifolds. Zbl 0527.57003Rubinstein, J. H.; Birman, J. S. 6 1984 The 3D-index and normal surfaces. Zbl 1378.57030Garoufalidis, Stavros; Hodgson, Craig D.; Hoffman, Neil R.; Rubinstein, J. Hyam 5 2016 On the Neuwirth conjecture for knots. Zbl 1280.57008Ozawa, Makoto; Rubinstein, Joachim Hyam 5 2013 \(\mathbb Z_2\)-Thurston norm and complexity of 3-manifolds. Zbl 1277.57021Jaco, William; Rubinstein, J. Hyam; Tillmann, Stephan 5 2013 Triangulations of hyperbolic 3-manifolds admitting strict angle structures. Zbl 1262.57018Hodgson, Craig D.; Rubinstein, J. Hyam; Segerman, Henry 5 2012 Curvature-constrained directional-cost paths in the plane. Zbl 1259.49068Chang, Alan J.; Brazil, Marcus; Rubinstein, J. Hyam; Thomas, Doreen A. 5 2012 The Weber-Seifert dodecahedral space is non-Haken. Zbl 1250.57033Burton, Benjamin A.; Rubinstein, J. Hyam; Tillmann, Stephan 5 2012 Genus two Heegaard splittings of orientable three-manifolds. Zbl 0962.57013Rubinstein, Hyam; Scharlemann, Martin 5 1999 Immersed surfaces in cubed manifolds. Zbl 0935.57033Aitchison, I. R.; Matsumotoi, S.; Rubinstein, J. H. 5 1997 The Steiner ratio conjecture for cocircular points. Zbl 0774.05031Rubinstein, J. H.; Thomas, D. A. 5 1992 Compactifying coverings of closed 3-manifolds. Zbl 0693.57011Hass, Joel; Rubinstein, Hyam; Scott, Peter 5 1989 Dehn’s lemma and handle decompositions of some 4-manifolds. Zbl 0446.57025Rubinstein, J. H. 5 1980 Free actions of some finite groups on \(S^3\). I. Zbl 0382.57019Rubinstein, J. H. 5 1979 The classification of homotopy classes of bounded curvature paths. Zbl 1354.53007Ayala, José; Rubinstein, Hyam 4 2016 Introduction to the theory of Haken \(n\)-manifolds. Zbl 1335.57038Foozwell, Bell; Rubinstein, Hyam 4 2011 Problems around 3-manifolds. Zbl 1139.57019Rubinstein, J. H. 4 2007 Period three actions on the three-sphere. Zbl 1037.57012Maher, J.; Rubinstein, J. Hyam 4 2003 Polyhedral metrics and 3-manifolds which are virtual bundles. Zbl 0930.57015Aitchison, I. R.; Rubinstein, J. H. 4 1999 Compression theorems and Steiner ratios on spheres. Zbl 0895.90173Rubinstein, J. H.; Weng, J. F. 4 1997 Canonical surgery on alternating link diagrams. Zbl 0765.57005Aitchison, I. R.; Rubinstein, J. H. 4 1992 On Scott’s core theorem. Zbl 0709.57012Rubinstein, J. H.; Swarup, G. A. 4 1990 Existence of minimal surfaces of bounded topological type in three- manifolds. Zbl 0602.49028Pitts, Jon T.; Rubinstein, J. H. 4 1986 Bounding embeddings of VC classes into maximum classes. Zbl 1357.68182Rubinstein, J. Hyam; Rubinstein, Benjamin I. P.; Bartlett, Peter L. 3 2015 Maximizing the net present value of a Steiner tree. Zbl 1338.90434Sirinanda, K. G.; Brazil, M.; Grossman, P. A.; Rubinstein, J. H.; Thomas, D. A. 3 2015 Finiteness of 3-manifolds associated with non-zero degree mappings. Zbl 1290.57001Boileau, Michel; Rubinstein, J. Hyam; Wang, Shicheng 3 2014 Approximations and lower bounds for the length of minimal Euclidean Steiner trees. Zbl 1133.90408Rubinstein, J. H.; Weng, J.; Wormald, N. 3 2006 Minimal spheres of arbitrarily high Morse index. Zbl 1104.53055Hass, Joel; Norbury, Paul; Rubinstein, J. Hyam 3 2003 Intersection patterns of essential surfaces in 3-manifolds. Zbl 0924.57023Rubinstein, Hyam; Sageev, Michah 3 1999 Surfaces in the figure-8 knot complement. Zbl 0924.57018Aitchison, I. R.; Matsumoto, S.; Rubinstein, J. H. 3 1998 Comparing Heegaard splittings – the bounded case. Zbl 0892.57009Rubinstein, Hyam; Scharlemann, Martin 3 1998 Morse theory for min-type functions. Zbl 0921.58006Gershkovich, V.; Rubinstein, H. 3 1997 Minimal Steiner trees for rectangular arrays of lattice points. Zbl 0883.05038Brazil, M.; Rubinstein, J. H.; Thomas, D. A.; Weng, J. F.; Wormald, N. C. 3 1997 Transverse Heegaard splittings. Zbl 0907.57013Rubinstein, Hyam; Scharlemann, Martin 3 1997 Incompressible surfaces and the topology of 3-dimensional manifolds. Zbl 0813.57017Aitchison, Iain R.; Rubinstein, J. Hyam 3 1993 Degree-five Steiner points cannot reduce network costs for planar sets. Zbl 0774.05032Rubinstein, J. H.; Thomas, D. A.; Weng, J. F. 3 1992 One-sided closed geodesics on surfaces. Zbl 0614.53035Hass, Joel; Rubinstein, J. H. 3 1986 Gradient-constrained discounted Steiner trees. I: Optimal tree configurations. Zbl 1346.90792Sirinanda, K. G.; Brazil, M.; Grossman, P. A.; Rubinstein, J. H.; Thomas, D. A. 2 2016 Note on spun normal surfaces in 1-efficient ideal triangulations. Zbl 1347.57024Kang, Ensil; Rubinstein, Joachim Hyam 2 2015 Even triangulations of \(n\)-dimensional pseudo-manifolds. Zbl 1346.57014Rubinstein, J. Hyam; Tillmann, Stephan 2 2015 Inflations of ideal triangulations. Zbl 1304.57034Jaco, William; Rubinstein, J. Hyam 2 2014 Optimally locating a junction point for an underground mine to maximise the net present value. Zbl 1386.90037Sirinanda, Kashyapa; Brazil, Marcus; Grossman, Peter; Rubinstein, Hyam; Thomas, Doreen 2 2013 Finding planar surfaces in knot- and link-manifolds. Zbl 1176.57024Jaco, William; Rubinstein, J. Hyam; Sedgwick, Eric 2 2009 An algorithm to recognise small Seifert fiber spaces. Zbl 1061.57023Rubinstein, J. Hyam 2 2004 Geodesic surfaces in knot complements. Zbl 0891.57017Aitchison, Iain R.; Rubinstein, J. Hyam 2 1997 Minimal Steiner trees for \(2^ k \times 2^ k\) square lattices. Zbl 0844.05036Brazil, M.; Cole, T.; Rubinstein, J. H.; Thomas, D. A.; Weng, J. F.; Wormald, N. C. 2 1996 Covering spaces of 3-manifolds. Zbl 0624.57016Hass, Joel; Rubinstein, Hyam; Scott, Peter 2 1987 A geometric approach to shortest bounded curvature paths. Zbl 1401.49060Ayala, José; Kirszenblat, David; Rubinstein, Hyam 1 2018 Four-dimensional Haken cobordism theory. Zbl 1375.57027Foozwell, Bell; Rubinstein, Hyam 1 2016 Gradient-constrained discounted Steiner trees. II: Optimally locating a discounted Steiner point. Zbl 1336.90099Sirinanda, K. G.; Brazil, M.; Grossman, P. A.; Rubinstein, J. H.; Thomas, D. A. 1 2016 Triangulations of \(3\)-manifolds with essential edges. Zbl 1379.57031Hodgson, Craig D.; Rubinstein, J. Hyam; Segerman, Henry; Tillmann, Stephan 1 2015 Optimal curvature and gradient-constrained directional cost paths in 3-space. Zbl 1347.90077Chang, Alan J.; Brazil, Marcus; Rubinstein, J. Hyam; Thomas, Doreen A. 1 2015 Optimal curvature-constrained paths for general directional-cost functions. Zbl 1294.90016Chang, Alan J.; Brazil, Marcus; Rubinstein, J. Hyam; Thomas, Doreen A. 1 2013 3-manifolds with Heegaard splittings of distance two. Zbl 1282.57026Rubinstein, J. Hyam; Thompson, Abigail 1 2013 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 1231.57001Li, Weiping (ed.); Bartolini, Loretta (ed.); Johnson, Jesse (ed.); Luo, Feng (ed.); Myers, Robert (ed.); Rubinstein, J. Hyam (ed.) 1 2011 Invariant Heegaard surfaces in manifolds with involutions and the Heegaard genus of double covers. Zbl 1222.57014Rieck, Yo’av; Rubinstein, J. Hyam 1 2009 Knots and \(k\)-width. Zbl 1189.57005Hass, Joel; Rubinstein, J. Hyam; Thompson, Abigail 1 2009 One-sided Heegaard splittings of \(\mathbb R{\text P}^3\). Zbl 1133.57005Bartolini, Loretta; Rubinstein, J. Hyam 1 2006 Cost optimisation for underground mining networks. Zbl 1093.90067Brazil, Marcus; Thomas, Doreen A.; Weng, Jia F.; Rubinstein, J. Hyam; Lee, David H. 1 2005 Localising Dehn’s lemma and the loop theorem in 3-manifolds. Zbl 1067.57009Aitchison, I. R.; Rubinstein, J. Hyam 1 2004 Triangulations of 3-manifolds. Zbl 1047.57011Rubinstein, J. Hyam 1 2003 Comparing open book and Heegaard decompositions of 3-manifolds. Zbl 1045.57008Rubinstein, J. Hyam 1 2003 A geometric approach to shortest bounded curvature paths. Zbl 1401.49060Ayala, José; Kirszenblat, David; Rubinstein, Hyam 1 2018 The 3D-index and normal surfaces. Zbl 1378.57030Garoufalidis, Stavros; Hodgson, Craig D.; Hoffman, Neil R.; Rubinstein, J. Hyam 5 2016 The classification of homotopy classes of bounded curvature paths. Zbl 1354.53007Ayala, José; Rubinstein, Hyam 4 2016 Gradient-constrained discounted Steiner trees. I: Optimal tree configurations. Zbl 1346.90792Sirinanda, K. G.; Brazil, M.; Grossman, P. A.; Rubinstein, J. H.; Thomas, D. A. 2 2016 Four-dimensional Haken cobordism theory. Zbl 1375.57027Foozwell, Bell; Rubinstein, Hyam 1 2016 Gradient-constrained discounted Steiner trees. II: Optimally locating a discounted Steiner point. Zbl 1336.90099Sirinanda, 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 1330.57029Garoufalidis, Stavros; Hodgson, Craig D.; Rubinstein, J. Hyam; Segerman, Henry 14 2015 Bounding embeddings of VC classes into maximum classes. Zbl 1357.68182Rubinstein, J. Hyam; Rubinstein, Benjamin I. P.; Bartlett, Peter L. 3 2015 Maximizing the net present value of a Steiner tree. Zbl 1338.90434Sirinanda, K. G.; Brazil, M.; Grossman, P. A.; Rubinstein, J. H.; Thomas, D. A. 3 2015 Note on spun normal surfaces in 1-efficient ideal triangulations. Zbl 1347.57024Kang, Ensil; Rubinstein, Joachim Hyam 2 2015 Even triangulations of \(n\)-dimensional pseudo-manifolds. Zbl 1346.57014Rubinstein, J. Hyam; Tillmann, Stephan 2 2015 Triangulations of \(3\)-manifolds with essential edges. Zbl 1379.57031Hodgson, Craig D.; Rubinstein, J. Hyam; Segerman, Henry; Tillmann, Stephan 1 2015 Optimal curvature and gradient-constrained directional cost paths in 3-space. Zbl 1347.90077Chang, Alan J.; Brazil, Marcus; Rubinstein, J. Hyam; Thomas, Doreen A. 1 2015 Finiteness of 3-manifolds associated with non-zero degree mappings. Zbl 1290.57001Boileau, Michel; Rubinstein, J. Hyam; Wang, Shicheng 3 2014 Inflations of ideal triangulations. Zbl 1304.57034Jaco, William; Rubinstein, J. Hyam 2 2014 Mapping class groups of Heegaard splittings. Zbl 1278.57029Johnson, Jesse; Rubinstein, Hyam 6 2013 On the Neuwirth conjecture for knots. Zbl 1280.57008Ozawa, Makoto; Rubinstein, Joachim Hyam 5 2013 \(\mathbb Z_2\)-Thurston norm and complexity of 3-manifolds. Zbl 1277.57021Jaco, William; Rubinstein, J. Hyam; Tillmann, Stephan 5 2013 Optimally locating a junction point for an underground mine to maximise the net present value. Zbl 1386.90037Sirinanda, Kashyapa; Brazil, Marcus; Grossman, Peter; Rubinstein, Hyam; Thomas, Doreen 2 2013 Optimal curvature-constrained paths for general directional-cost functions. Zbl 1294.90016Chang, Alan J.; Brazil, Marcus; Rubinstein, J. Hyam; Thomas, Doreen A. 1 2013 3-manifolds with Heegaard splittings of distance two. Zbl 1282.57026Rubinstein, J. Hyam; Thompson, Abigail 1 2013 A geometric approach to sample compression. Zbl 1283.68301Rubinstein, Benjamin I. P.; Rubinstein, J. Hyam 8 2012 Diffeomorphisms of elliptic 3-manifolds. Zbl 1262.57001Hong, Sungbok; Kalliongis, John; McCullough, Darryl; Rubinstein, J. Hyam 6 2012 Triangulations of hyperbolic 3-manifolds admitting strict angle structures. Zbl 1262.57018Hodgson, Craig D.; Rubinstein, J. Hyam; Segerman, Henry 5 2012 Curvature-constrained directional-cost paths in the plane. Zbl 1259.49068Chang, Alan J.; Brazil, Marcus; Rubinstein, J. Hyam; Thomas, Doreen A. 5 2012 The Weber-Seifert dodecahedral space is non-Haken. Zbl 1250.57033Burton, Benjamin A.; Rubinstein, J. Hyam; Tillmann, Stephan 5 2012 Coverings and minimal triangulations of 3-manifolds. Zbl 1229.57010Jaco, William; Rubinstein, J. Hyam; Tillmann, Stephan 14 2011 Veering triangulations admit strict angle structures. Zbl 1246.57034Hodgson, Craig D.; Rubinstein, J. Hyam; Segerman, Henry; Tillmann, Stephan 8 2011 Introduction to the theory of Haken \(n\)-manifolds. Zbl 1335.57038Foozwell, Bell; Rubinstein, Hyam 4 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 1231.57001Li, Weiping (ed.); Bartolini, Loretta (ed.); Johnson, Jesse (ed.); Luo, Feng (ed.); Myers, Robert (ed.); Rubinstein, J. Hyam (ed.) 1 2011 Minimal triangulations for an infinite family of lens spaces. Zbl 1227.57026Jaco, William; Rubinstein, Hyam; Tillmann, Stephan 23 2009 Shifting: one-inclusion mistake bounds and sample compression. Zbl 1158.68452Rubinstein, Benjamin I. P.; Bartlett, Peter L.; Rubinstein, J. Hyam 6 2009 Finding planar surfaces in knot- and link-manifolds. Zbl 1176.57024Jaco, William; Rubinstein, J. Hyam; Sedgwick, Eric 2 2009 Invariant Heegaard surfaces in manifolds with involutions and the Heegaard genus of double covers. Zbl 1222.57014Rieck, Yo’av; Rubinstein, J. Hyam 1 2009 Knots and \(k\)-width. Zbl 1189.57005Hass, Joel; Rubinstein, J. Hyam; Thompson, Abigail 1 2009 Problems around 3-manifolds. Zbl 1139.57019Rubinstein, J. H. 4 2007 Approximations and lower bounds for the length of minimal Euclidean Steiner trees. Zbl 1133.90408Rubinstein, J. H.; Weng, J.; Wormald, N. 3 2006 One-sided Heegaard splittings of \(\mathbb R{\text P}^3\). Zbl 1133.57005Bartolini, Loretta; Rubinstein, J. Hyam 1 2006 Minimal surfaces in geometric 3-manifolds. Zbl 1119.53042Rubinstein, J. Hyam 11 2005 Visualizing Ricci flow of manifolds of revolution. Zbl 1081.53055Rubinstein, J. Hyam; Sinclair, Robert 7 2005 Ideal triangulations of 3-manifolds II; taut and angle structures. Zbl 1096.57018Kang, Ensil; Rubinstein, J. Hyam 6 2005 Cost optimisation for underground mining networks. Zbl 1093.90067Brazil, 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 1085.57016Kang, Ensil; Rubinstein, J. Hyam 13 2004 An algorithm to recognise small Seifert fiber spaces. Zbl 1061.57023Rubinstein, J. Hyam 2 2004 Localising Dehn’s lemma and the loop theorem in 3-manifolds. Zbl 1067.57009Aitchison, I. R.; Rubinstein, J. Hyam 1 2004 0-efficient triangulations of 3-manifolds. Zbl 1068.57023Jaco, William; Rubinstein, J. Hyam 49 2003 Period three actions on the three-sphere. Zbl 1037.57012Maher, J.; Rubinstein, J. Hyam 4 2003 Minimal spheres of arbitrarily high Morse index. Zbl 1104.53055Hass, Joel; Norbury, Paul; Rubinstein, J. Hyam 3 2003 Triangulations of 3-manifolds. Zbl 1047.57011Rubinstein, J. Hyam 1 2003 Comparing open book and Heegaard decompositions of 3-manifolds. Zbl 1045.57008Rubinstein, J. Hyam 1 2003 Algorithms for essential surfaces in 3-manifolds. Zbl 1012.57029Jaco, William; Letscher, David; Rubinstein, J. Hyam 8 2002 Minimum networks for four points in space. Zbl 1009.05042Rubinstein, J. H.; Thomas, D. A.; Weng, J. 8 2002 Gradient-constrained minimum networks. I: Fundamentals. Zbl 1068.90605Brazil, 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 0990.90102Rubinstein, J. H.; Thomas, D. A.; Wormald, N. C. 1 2001 Advances in Steiner trees. Zbl 0932.00010Du, Ding-Zhu (ed.); Smith, J. M. (ed.); Rubinstein, J. H. (ed.) 7 2000 Boundary slopes of immersed surfaces in 3-manifolds. Zbl 0978.57016Hass, Joel; Rubinstein, J. Hyam; Wang, Shicheng 9 1999 Genus two Heegaard splittings of orientable three-manifolds. Zbl 0962.57013Rubinstein, Hyam; Scharlemann, Martin 5 1999 Polyhedral metrics and 3-manifolds which are virtual bundles. Zbl 0930.57015Aitchison, I. R.; Rubinstein, J. H. 4 1999 Intersection patterns of essential surfaces in 3-manifolds. Zbl 0924.57023Rubinstein, Hyam; Sageev, Michah 3 1999 \(\pi_1\)-injective surfaces in graph manifolds. Zbl 0916.57001Rubinstein, J. Hyam; Wang, Shicheng 24 1998 Surfaces in the figure-8 knot complement. Zbl 0924.57018Aitchison, I. R.; Matsumoto, S.; Rubinstein, J. H. 3 1998 Comparing Heegaard splittings – the bounded case. Zbl 0892.57009Rubinstein, Hyam; Scharlemann, Martin 3 1998 Shortest networks on spheres. Zbl 0915.05043Brazil, M.; Rubinstein, J. H.; Thomas, D. A.; Weng, J. F.; Wormald, N. C. 1 1998 Heegaard structures of negatively curved 3-manifolds. Zbl 0890.57025Moriah, Yoav; Rubinstein, Hyam 27 1997 Polyhedral minimal surfaces, Heegaard splittings and decision problems for 3-dimensional manifolds. Zbl 0889.57021Rubinstein, J. H. 25 1997 Steiner trees for terminals constrained to curves. Zbl 0869.05023Rubinstein, J. H.; Thomas, D. A.; Wormald, N. C. 6 1997 Immersed surfaces in cubed manifolds. Zbl 0935.57033Aitchison, I. R.; Matsumotoi, S.; Rubinstein, J. H. 5 1997 Compression theorems and Steiner ratios on spheres. Zbl 0895.90173Rubinstein, J. H.; Weng, J. F. 4 1997 Morse theory for min-type functions. Zbl 0921.58006Gershkovich, V.; Rubinstein, H. 3 1997 Minimal Steiner trees for rectangular arrays of lattice points. Zbl 0883.05038Brazil, M.; Rubinstein, J. H.; Thomas, D. A.; Weng, J. F.; Wormald, N. C. 3 1997 Transverse Heegaard splittings. Zbl 0907.57013Rubinstein, Hyam; Scharlemann, Martin 3 1997 Geodesic surfaces in knot complements. Zbl 0891.57017Aitchison, Iain R.; Rubinstein, J. Hyam 2 1997 Comparing Heegaard splittings of non-Haken 3-manifolds. Zbl 0858.57020Rubinstein, Hyam; Scharlemann, Martin 37 1996 Minimal Steiner trees for \(2^ k \times 2^ k\) square lattices. Zbl 0844.05036Brazil, M.; Cole, T.; Rubinstein, J. H.; Thomas, D. A.; Weng, J. F.; Wormald, N. C. 2 1996 An algorithm to recognize the 3-sphere. Zbl 0864.57009Rubinstein, Joachim H. 30 1995 Incompressible surfaces and the topology of 3-dimensional manifolds. Zbl 0813.57017Aitchison, Iain R.; Rubinstein, J. Hyam 3 1993 Existence of unstable minimal surfaces in manifolds with homology and applications to triply periodic minimal surfaces. Zbl 0798.53009Hass, Joel; Pitts, Jon T.; Rubinstein, J. H. 1 1993 The Steiner minimal network for convex configurations. Zbl 0774.05033Thomas, D. A.; Rubinstein, J. H.; Cole, T. 1 1993 Combinatorial cubings, cusps, and the dodecahedral knots. Zbl 0773.57010Aitchison, I. R.; Rubinstein, J. H. 13 1992 Graham’s problem on shortest networks for points on a circle. Zbl 0748.05051Rubinstein, J. H.; Thomas, D. A. 7 1992 Cusp structures of alternating links. Zbl 0810.57010Aitchison, I. R.; Lumsden, E.; Rubinstein, J. H. 6 1992 The Steiner ratio conjecture for cocircular points. Zbl 0774.05031Rubinstein, J. H.; Thomas, D. A. 5 1992 Canonical surgery on alternating link diagrams. Zbl 0765.57005Aitchison, I. R.; Rubinstein, J. H. 4 1992 Degree-five Steiner points cannot reduce network costs for planar sets. Zbl 0774.05032Rubinstein, J. H.; Thomas, D. A.; Weng, J. F. 3 1992 A variational approach to the Steiner network problem. Zbl 0734.05040Rubinstein, J. H.; Thomas, D. A. 24 1991 The Steiner ratio conjecture for six points. Zbl 0739.05034Rubinstein, J. H.; Thomas, D. A. 14 1991 An introduction to polyhedral metrics of non-positive curvature on 3- manifolds. Zbl 0735.57005Aitchison, I. R.; Rubinstein, J. H. 11 1990 On Scott’s core theorem. Zbl 0709.57012Rubinstein, J. H.; Swarup, G. A. 4 1990 PL equivariant surgery and invariant decompositions of 3-manifolds. Zbl 0682.57005Jaco, William; Rubinstein, J. Hyam 18 1989 Compactifying coverings of closed 3-manifolds. Zbl 0693.57011Hass, Joel; Rubinstein, Hyam; Scott, Peter 5 1989 PL minimal surfaces in 3-manifolds. Zbl 0652.57005Jaco, William; Rubinstein, J. Hyam 23 1988 Equivariant minimax and minimal surfaces in geometric three-manifolds. Zbl 0665.49034Pitts, Jon T.; Rubinstein, J. H. 10 1988 Applications of minimax to minimal surfaces and the topology of 3- manifolds. Zbl 0639.49030Pitts, Jon T.; Rubinstein, J. H. 7 1987 Covering spaces of 3-manifolds. Zbl 0624.57016Hass, Joel; Rubinstein, Hyam; Scott, Peter 2 1987 Existence of minimal surfaces of bounded topological type in three- manifolds. Zbl 0602.49028Pitts, Jon T.; Rubinstein, J. H. 4 1986 One-sided closed geodesics on surfaces. Zbl 0614.53035Hass, Joel; Rubinstein, J. H. 3 1986 A piecewise linear theory of minimal surfaces in 3-manifolds. Zbl 0596.53007Jaco, William; Rubinstein, J. H. 1 1986 Involutions and isotopies of lens spaces. Zbl 0605.57022Hodgson, Craig; Rubinstein, J. H. 25 1985 Fibered knots and involutions on homotopy spheres. Zbl 0567.57015Aitchison, I. R.; Rubinstein, J. H. 6 1984 One-sided Heegaard splittings and homeotopy groups of some 3-manifolds. Zbl 0527.57003Rubinstein, J. H.; Birman, J. S. 6 1984 ...and 7 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 520 Authors 43 Rubinstein, J. Hyam 33 Thomas, Doreen Anne 21 Brazil, Marcus N. 15 Weng, Jia Feng 12 Burton, Benjamin A. 11 Bachman, David 11 Tillmann, Stephan 10 Li, Tao 9 Fominykh, Evgeny Anatol’evich 9 Garoufalidis, Stavros 9 Hass, Joel 9 Johnson, Jesse Edward 9 Scharlemann, Martin G. 8 Tomova, Maggy 8 Vesnin, Andrei Yu. 7 Agol, Ian 7 Du, Ding-Zhu 7 Segerman, Henry 6 Grossman, Peter Alexander 6 Kang, Ensil 6 Moriah, Yoav 6 Sedgwick, Eric 5 Blair, Ryan C. 5 Boileau, Michel Charles 5 Cooper, Daryl 5 Derby-Talbot, Ryan 5 Dimofte, Tudor Dan 5 Hillman, Jonathan Arthur 5 Jaco, William H. 5 Lackenby, Marc 5 Liu, Yi 5 Luo, Feng 5 Minsky, Yair N. 5 Niblo, Graham A. 5 Taylor, Scott A. 5 Thurston, William Paul 5 Wise, Daniel T. 5 Wormald, Nicholas Charles 4 Boyer, Steven 4 Hodgson, Craig D. 4 Huang, Zheng 4 Reid, Alan W. 4 Rieck, Yo’av 4 Schleimer, Saul 4 Sirinanda, K. G. 4 Walsh, Genevieve S. 4 Wang, Shi Cheng 3 Aitchison, Iain Roderick 3 Ayala, José L. 3 Baker, Kenneth L. 3 Baker, Mark D. 3 Dunfield, Nathan M. 3 Futer, David 3 Gompf, Robert E. 3 Gordon, Cameron McA. 3 Grebenev, Vladimir N. 3 Guéritaud, François 3 Gukov, Sergei 3 Ivanov, Aleksandr Olegovich 3 Kobayashi, Tsuyoshi 3 Koda, Yuya 3 Kwasik, Sławomir 3 Lee, Christine Ruey Shan 3 Maher, Joseph 3 Moran, Shay 3 Nguyen, Hoang Thanh 3 Oberlack, Martin 3 Ozawa, Makoto 3 Purcell, Jessica S. 3 Ras, Charl J. 3 Saeki, Osamu 3 Scott, G. Peter 3 Spreer, Jonathan 3 Sun, Hongbin 3 Thompson, Abigail A. 3 Wang, Biao 3 Zilles, Sandra 2 Abu-Affash, A. Karim 2 Amendola, Gennaro 2 Arroja Neves, André 2 Baldwin, John A. 2 Bartlett, Peter L. 2 Bartolini, Loretta 2 Bobrowski, Omer 2 Campisi, Marion Moore 2 Cebanu, Radu 2 Chang, Alan J. 2 Chbili, Nafaa 2 Chepoi, Victor D. 2 Cho, Sangbum 2 Coffey, James 2 Colding, Tobias Holck 2 Cole, Tim J. 2 Cole, Timothy J. 2 Cremaschi, Tommaso 2 Deblois, Jason 2 Derbez, Pierre 2 Edmonds, Allan L. 2 Erickson, Jeff 2 Eudave-Muñoz, Mario ...and 420 more Authors all top 5 Cited in 132 Serials 51 Algebraic & Geometric Topology 50 Topology and its Applications 33 Transactions of the American Mathematical Society 33 Geometry & Topology 25 Journal of Knot Theory and its Ramifications 24 Proceedings of the American Mathematical Society 19 Geometriae Dedicata 11 Inventiones Mathematicae 11 Journal of Topology 10 Mathematische Annalen 9 Algorithmica 8 Journal of the American Mathematical Society 8 Bulletin of the American Mathematical Society. New Series 7 Journal of Combinatorial Theory. Series A 7 Discrete & Computational Geometry 7 Journal of Global Optimization 7 Journal of High Energy Physics 6 Advances in Mathematics 6 Duke Mathematical Journal 6 Experimental Mathematics 5 Networks 5 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 4 Mathematische Zeitschrift 4 Theoretical Computer Science 4 Discrete Mathematics, Algorithms and Applications 3 Discrete Applied Mathematics 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Chaos, Solitons and Fractals 3 Compositio Mathematica 3 Journal of Functional Analysis 3 Journal of the Mathematical Society of Japan 3 European Journal of Combinatorics 3 Annals of Operations Research 3 Acta Mathematica Sinica. English Series 3 Proceedings of the Steklov Institute of Mathematics 3 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 2 Communications in Mathematical Physics 2 Discrete Mathematics 2 Information Processing Letters 2 Nuclear Physics. B 2 Journal of Optimization Theory and Applications 2 Memoirs of the American Mathematical Society 2 Proceedings of the Japan Academy. Series A 2 Siberian Mathematical Journal 2 Tokyo Journal of Mathematics 2 Computers & Operations Research 2 L’Enseignement Mathématique. 2e Série 2 European Journal of Operational Research 2 Indagationes Mathematicae. New Series 2 Russian Mathematics 2 Calculus of Variations and Partial Differential Equations 2 Journal of Mathematical Sciences (New York) 2 International Transactions in Operational Research 2 Doklady Mathematics 2 The Ramanujan Journal 2 Conformal Geometry and Dynamics 2 Annals of Mathematics. Second Series 2 Journal of the European Mathematical Society (JEMS) 2 Optimization and Engineering 2 Journal of the Australian Mathematical Society 2 Discrete Optimization 1 Archive for History of Exact Sciences 1 Artificial Intelligence 1 Archive for Rational Mechanics and Analysis 1 Bulletin of the Australian Mathematical Society 1 Communications on Pure and Applied Mathematics 1 International Journal of Mathematical Education in Science and Technology 1 Israel Journal of Mathematics 1 Lithuanian Mathematical Journal 1 Mathematical Notes 1 Moscow University Mathematics Bulletin 1 Russian Mathematical Surveys 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Mathematics of Computation 1 Journal of Geometry and Physics 1 ACM Transactions on Mathematical Software 1 Commentarii Mathematici Helvetici 1 Glasgow Mathematical Journal 1 Indiana University Mathematics Journal 1 Journal of Algebra 1 Journal of Computer and System Sciences 1 Journal für die Reine und Angewandte Mathematik 1 Journal of Soviet Mathematics 1 Kodai Mathematical Journal 1 Michigan Mathematical Journal 1 Notre Dame Journal of Formal Logic 1 Numerische Mathematik 1 Osaka Journal of Mathematics 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Tohoku Mathematical Journal. Second Series 1 Bulletin of the Korean Mathematical Society 1 Operations Research Letters 1 Acta Mathematica Hungarica 1 Annals of Global Analysis and Geometry 1 Graphs and Combinatorics 1 Probability Theory and Related Fields 1 Applied Mathematics Letters 1 Sugaku Expositions 1 International Journal of Mathematics 1 International Journal of Computational Geometry & Applications ...and 32 more Serials all top 5 Cited in 35 Fields 380 Manifolds and cell complexes (57-XX) 60 Combinatorics (05-XX) 55 Differential geometry (53-XX) 45 Group theory and generalizations (20-XX) 41 Operations research, mathematical programming (90-XX) 37 Computer science (68-XX) 14 Convex and discrete geometry (52-XX) 14 Global analysis, analysis on manifolds (58-XX) 12 Algebraic topology (55-XX) 12 Quantum theory (81-XX) 10 Geometry (51-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 8 Functions of a complex variable (30-XX) 5 Number theory (11-XX) 5 Algebraic geometry (14-XX) 5 Partial differential equations (35-XX) 5 Numerical analysis (65-XX) 4 Topological groups, Lie groups (22-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Functional analysis (46-XX) 3 General topology (54-XX) 3 Probability theory and stochastic processes (60-XX) 3 Fluid mechanics (76-XX) 3 Information and communication theory, circuits (94-XX) 2 History and biography (01-XX) 2 Mathematical logic and foundations (03-XX) 2 Relativity and gravitational theory (83-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 \(K\)-theory (19-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Abstract harmonic analysis (43-XX) 1 Mechanics of particles and systems (70-XX) 1 Systems theory; control (93-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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