Edit Profile (opens in new tab) Brazil, Marcus N. Compute Distance To: Compute Author ID: brazil.marcus-n Published as: Brazil, M.; Brazil, Marcus; Brazil, Marcus N. more...less Documents Indexed: 60 Publications since 1991, including 1 Book Co-Authors: 34 Co-Authors with 56 Joint Publications 916 Co-Co-Authors all top 5 Co-Authors 4 single-authored 47 Thomas, Doreen Anne 19 Rubinstein, J. Hyam 18 Weng, Jia Feng 12 Ras, Charl J. 11 Zachariasen, Martin 8 Grossman, Peter Alexander 7 Wormald, Nicholas Charles 4 Sirinanda, K. G. 4 Volz, Marcus 4 Winter, Pawel 3 Chang, Alan J. 3 Lee, David H. 3 Nielsen, Benny K. 2 Swanepoel, Konrad J. 1 Alford, Christopher 1 Alpcan, Tansu 1 Andrés-Thió, Nicolau 1 Cole, Tim J. 1 Covington, Jacinta 1 de Hoog, Julian 1 Egeblad, Jens 1 Graham, Ronald Lewis 1 Kirszenblat, David 1 Kolluri, Ramachandra Rao 1 Mareels, Iven M. Y. 1 Penttila, Tim 1 Praeger, Cheryl Elisabeth 1 Sirinanda, Kashyapa 1 Smith, James MacGregor 1 Volz, M. G. 1 Whittle, D. 1 Woods, Alan Robert 1 Wulff-Nilsen, Christian 1 Yarmuch, Juan L. all top 5 Serials 10 Journal of Global Optimization 9 Networks 3 Discrete Applied Mathematics 3 Journal of Combinatorial Theory. Series A 3 Computational Geometry 2 Journal of Optimization Theory and Applications 2 Algorithmica 2 Computers & Operations Research 2 International Journal of Computational Geometry & Applications 2 European Journal of Operational Research 2 Optimization and Engineering 1 Archive for History of Exact Sciences 1 Communications in Algebra 1 Automatica 1 Geometriae Dedicata 1 Proceedings of the London Mathematical Society. Third Series 1 SIAM Journal on Computing 1 Theoretical Computer Science 1 Transactions of the American Mathematical Society 1 International Journal of Algebra and Computation 1 International Transactions in Operational Research 1 Journal of Combinatorial Optimization 1 Fundamenta Informaticae 1 The ANZIAM Journal 1 Algorithms and Combinatorics all top 5 Fields 36 Operations research, mathematical programming (90-XX) 23 Combinatorics (05-XX) 18 Computer science (68-XX) 5 Group theory and generalizations (20-XX) 2 Convex and discrete geometry (52-XX) 2 Numerical analysis (65-XX) 1 Mathematical logic and foundations (03-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Statistics (62-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 45 Publications have been cited 209 times in 130 Documents Cited by ▼ Year ▼ On the history of the Euclidean Steiner tree problem. Zbl 1295.05002Brazil, Marcus; Graham, Ronald L.; Thomas, Doreen A.; Zachariasen, Martin 19 2014 Gradient-constrained minimum networks. I: Fundamentals. Zbl 1068.90605Brazil, M.; Rubinstein, J. H.; Thomas, D. A.; Weng, J. F.; Wormald, N. C. 13 2001 Translational packing of arbitrary polytopes. Zbl 1178.90286Egeblad, Jens; Nielsen, Benny K.; Brazil, Marcus 12 2009 Optimal interconnection trees in the plane. Theory, algorithms and applications. Zbl 1319.05044Brazil, Marcus; Zachariasen, Martin 12 2015 Network optimization for the design of underground mines. Zbl 1131.90410Brazil, M.; Thomas, D. A. 12 2007 Growth functions for some nonautomatic Baumslag-Solitar groups. Zbl 0804.20027Brazil, Marcus 11 1994 Canonical forms and algorithms for Steiner trees in uniform orientation metrics. Zbl 1095.68074Brazil, M.; Thomas, D. A.; Weng, J. F.; Zachariasen, M. 9 2006 Minimum networks in uniform orientation metrics. Zbl 0973.05022Brazil, M.; Thomas, D. A.; Weng, J. F. 9 2000 Steiner trees for fixed orientation metrics. Zbl 1169.90467Brazil, M.; Zachariasen, M. 7 2009 Gradient-constrained minimum networks. II: Labelled or locally minimal Steiner points. Zbl 1168.90626Brazil, M.; Thomas, D. A.; Weng, J. F. 6 2008 A novel approach to phylogenetic trees: \(d\)-dimensional geometric Steiner trees. Zbl 1168.92035Brazil, M.; Thomas, D. A.; Nielsen, B. K.; Winter, P.; Wulff-Nilsen, C.; Zachariasen, M. 6 2009 Monoid growth functions for braid groups. Zbl 0789.20036Brazil, Marcus 6 1991 Maximal subgroups of infinite symmetric groups. Zbl 0795.20002Brazil, Marcus; Covington, Jacinta; Penttila, Tim; Praeger, Cheryl E.; Woods, Alan R. 6 1994 Curvature-constrained directional-cost paths in the plane. Zbl 1259.49068Chang, Alan J.; Brazil, Marcus; Rubinstein, J. Hyam; Thomas, Doreen A. 6 2012 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. 5 1997 Optimisation in underground mining. Zbl 1189.90088Alford, Christopher; Brazil, Marcus; Lee, David H. 5 2007 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. 5 2015 Generalised \(k\)-Steiner tree problems in normed planes. Zbl 1307.68083Brazil, Marcus; Ras, Charl J.; Swanepoel, Konrad J.; Thomas, Doreen A. 5 2015 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. 4 1996 The bottleneck 2-connected \(k\)-Steiner network problem for \(k \leq 2\). Zbl 1243.05064Brazil, M.; Ras, C. J.; Thomas, D. A. 4 2012 Locally minimal uniformly oriented shortest networks. Zbl 1275.90114Brazil, Marcus; Thomas, Doreen A.; Weng, Jia Feng 4 2006 Upper and lower bounds for the lengths of Steiner trees in 3-space. Zbl 1068.05014Brazil, M.; Thomas, D. A.; Weng, J. F. 4 2004 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 3 2013 Forbidden subpaths for Steiner minimum networks in uniform orientation metrics. Zbl 1014.68119Brazil, M.; Thomas, D. A.; Weng, J. F. 3 2002 Gradient-constrained minimal Steiner trees. Zbl 0915.05042Brazil, M.; Thomas, D. A.; Weng, J. F. 3 1998 On the complexity of the Steiner problem. Zbl 1028.90045Brazil, M.; Thomas, D. A.; Weng, J. F. 3 2000 Stability and active power sharing in droop controlled inverter interfaced microgrids: effect of clock mismatches. Zbl 1400.93008Kolluri, Ramachandra Rao; Mareels, Iven; Alpcan, Tansu; Brazil, Marcus; de Hoog, Julian; Thomas, Doreen Anne 2 2018 Growth functions for some one-relator monoids. Zbl 0811.20048Brazil, Marcus 2 1993 Full minimal Steiner trees on lattice sets. Zbl 0874.05018Brazil, M.; Rubinstein, J. H.; Thomas, D. A.; Weng, J. F.; Wormald, N. C. 2 1997 Approximating minimum Steiner point trees in Minkowski planes. Zbl 1206.90199Brazil, M.; Ras, C. J.; Thomas, D. A. 2 2010 Network modelling of underground mine layout: two case studies. Zbl 1156.90476Thomas, Doreen A.; Brazil, Marcus; Lee, David H.; Wormald, Nicholas C. 2 2007 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 A geometric characterisation of the quadratic min-power centre. Zbl 1339.90191Brazil, M.; Ras, C. J.; Thomas, D. A. 2 2014 Flexibility of Steiner trees in uniform orientation metrics. Zbl 1081.05099Brazil, M.; Winter, P.; Zachariasen, M. 2 2005 Computing skeletons for rectilinearly convex obstacles in the rectilinear plane. Zbl 1442.90035Volz, Marcus; Brazil, Marcus; Ras, Charl; Thomas, Doreen 1 2020 New pruning rules for the Steiner tree problem and 2-connected Steiner network problem. Zbl 1453.68201Brazil, Marcus; Volz, Marcus; Zachariasen, Martin; Ras, Charl; Thomas, Doreen 1 2019 Equivalence, indicators, quasi-indicators and optimal Steiner topologies on four points in space. Zbl 1154.90018Weng, J. F.; MacGregor Smith, J.; Brazil, M.; Thomas, D. A. 1 2008 Rectilinear Steiner minimal trees on parallel lines. Zbl 0944.05020Brazil, Marcus; Thomas, Doreen A.; Weng, Jia Feng 1 2000 Calculating growth functions for groups using automata. Zbl 0833.20042Brazil, Marcus 1 1995 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 Shortest networks on spheres. Zbl 0915.05043Brazil, M.; Rubinstein, J. H.; Thomas, D. A.; Weng, J. F.; Wormald, N. C. 1 1998 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 The uniform orientation Steiner tree problem is NP-hard. Zbl 1319.68227Brazil, Marcus; Zachariasen, Martin 1 2014 Cost optimisation for underground mining networks. Zbl 1093.90067Brazil, Marcus; Thomas, Doreen A.; Weng, Jia F.; Rubinstein, J. Hyam; Lee, David H. 1 2005 Computing skeletons for rectilinearly convex obstacles in the rectilinear plane. Zbl 1442.90035Volz, Marcus; Brazil, Marcus; Ras, Charl; Thomas, Doreen 1 2020 New pruning rules for the Steiner tree problem and 2-connected Steiner network problem. Zbl 1453.68201Brazil, Marcus; Volz, Marcus; Zachariasen, Martin; Ras, Charl; Thomas, Doreen 1 2019 Stability and active power sharing in droop controlled inverter interfaced microgrids: effect of clock mismatches. Zbl 1400.93008Kolluri, Ramachandra Rao; Mareels, Iven; Alpcan, Tansu; Brazil, Marcus; de Hoog, Julian; Thomas, Doreen Anne 2 2018 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 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 Optimal interconnection trees in the plane. Theory, algorithms and applications. Zbl 1319.05044Brazil, Marcus; Zachariasen, Martin 12 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. 5 2015 Generalised \(k\)-Steiner tree problems in normed planes. Zbl 1307.68083Brazil, Marcus; Ras, Charl J.; Swanepoel, Konrad J.; Thomas, Doreen A. 5 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 On the history of the Euclidean Steiner tree problem. Zbl 1295.05002Brazil, Marcus; Graham, Ronald L.; Thomas, Doreen A.; Zachariasen, Martin 19 2014 A geometric characterisation of the quadratic min-power centre. Zbl 1339.90191Brazil, M.; Ras, C. J.; Thomas, D. A. 2 2014 The uniform orientation Steiner tree problem is NP-hard. Zbl 1319.68227Brazil, Marcus; Zachariasen, Martin 1 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 3 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 Curvature-constrained directional-cost paths in the plane. Zbl 1259.49068Chang, Alan J.; Brazil, Marcus; Rubinstein, J. Hyam; Thomas, Doreen A. 6 2012 The bottleneck 2-connected \(k\)-Steiner network problem for \(k \leq 2\). Zbl 1243.05064Brazil, M.; Ras, C. J.; Thomas, D. A. 4 2012 Approximating minimum Steiner point trees in Minkowski planes. Zbl 1206.90199Brazil, M.; Ras, C. J.; Thomas, D. A. 2 2010 Translational packing of arbitrary polytopes. Zbl 1178.90286Egeblad, Jens; Nielsen, Benny K.; Brazil, Marcus 12 2009 Steiner trees for fixed orientation metrics. Zbl 1169.90467Brazil, M.; Zachariasen, M. 7 2009 A novel approach to phylogenetic trees: \(d\)-dimensional geometric Steiner trees. Zbl 1168.92035Brazil, M.; Thomas, D. A.; Nielsen, B. K.; Winter, P.; Wulff-Nilsen, C.; Zachariasen, M. 6 2009 Gradient-constrained minimum networks. II: Labelled or locally minimal Steiner points. Zbl 1168.90626Brazil, M.; Thomas, D. A.; Weng, J. F. 6 2008 Equivalence, indicators, quasi-indicators and optimal Steiner topologies on four points in space. Zbl 1154.90018Weng, J. F.; MacGregor Smith, J.; Brazil, M.; Thomas, D. A. 1 2008 Network optimization for the design of underground mines. Zbl 1131.90410Brazil, M.; Thomas, D. A. 12 2007 Optimisation in underground mining. Zbl 1189.90088Alford, Christopher; Brazil, Marcus; Lee, David H. 5 2007 Network modelling of underground mine layout: two case studies. Zbl 1156.90476Thomas, Doreen A.; Brazil, Marcus; Lee, David H.; Wormald, Nicholas C. 2 2007 Canonical forms and algorithms for Steiner trees in uniform orientation metrics. Zbl 1095.68074Brazil, M.; Thomas, D. A.; Weng, J. F.; Zachariasen, M. 9 2006 Locally minimal uniformly oriented shortest networks. Zbl 1275.90114Brazil, Marcus; Thomas, Doreen A.; Weng, Jia Feng 4 2006 Flexibility of Steiner trees in uniform orientation metrics. Zbl 1081.05099Brazil, M.; Winter, P.; Zachariasen, M. 2 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 Upper and lower bounds for the lengths of Steiner trees in 3-space. Zbl 1068.05014Brazil, M.; Thomas, D. A.; Weng, J. F. 4 2004 Forbidden subpaths for Steiner minimum networks in uniform orientation metrics. Zbl 1014.68119Brazil, M.; Thomas, D. A.; Weng, J. F. 3 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 Minimum networks in uniform orientation metrics. Zbl 0973.05022Brazil, M.; Thomas, D. A.; Weng, J. F. 9 2000 On the complexity of the Steiner problem. Zbl 1028.90045Brazil, M.; Thomas, D. A.; Weng, J. F. 3 2000 Rectilinear Steiner minimal trees on parallel lines. Zbl 0944.05020Brazil, Marcus; Thomas, Doreen A.; Weng, Jia Feng 1 2000 Gradient-constrained minimal Steiner trees. Zbl 0915.05042Brazil, M.; Thomas, D. A.; Weng, J. F. 3 1998 Shortest networks on spheres. Zbl 0915.05043Brazil, M.; Rubinstein, J. H.; Thomas, D. A.; Weng, J. F.; Wormald, N. C. 1 1998 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. 5 1997 Full minimal Steiner trees on lattice sets. Zbl 0874.05018Brazil, M.; Rubinstein, J. H.; Thomas, D. A.; Weng, J. F.; Wormald, N. C. 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. 4 1996 Calculating growth functions for groups using automata. Zbl 0833.20042Brazil, Marcus 1 1995 Growth functions for some nonautomatic Baumslag-Solitar groups. Zbl 0804.20027Brazil, Marcus 11 1994 Maximal subgroups of infinite symmetric groups. Zbl 0795.20002Brazil, Marcus; Covington, Jacinta; Penttila, Tim; Praeger, Cheryl E.; Woods, Alan R. 6 1994 Growth functions for some one-relator monoids. Zbl 0811.20048Brazil, Marcus 2 1993 Monoid growth functions for braid groups. Zbl 0789.20036Brazil, Marcus 6 1991 all cited Publications top 5 cited Publications all top 5 Cited by 200 Authors 35 Thomas, Doreen Anne 34 Brazil, Marcus N. 14 Rubinstein, J. Hyam 13 Ras, Charl J. 13 Weng, Jia Feng 8 Zachariasen, Martin 6 Grossman, Peter Alexander 6 Stoyan, Yuriĭ Grygorovych 5 Swanepoel, Konrad J. 5 Wormald, Nicholas Charles 4 Sirinanda, K. G. 4 Volz, Marcus 4 Winter, Pawel 3 Chugay, Andrey M. 3 East, James 3 Li, Jianping 3 Lichen, Junran 2 Ahn, Hee-Kap 2 Alt, Helmut 2 Bose, Prosenjit K. 2 Catusse, Nicolas 2 Chang, Alan J. 2 D’angelo, Anthony 2 Durocher, Stephane 2 Egeblad, Jens 2 Fampa, Marcia Helena C. 2 Goycoolea, Marcos 2 Lee, David H. 2 Maculan, Nelson F. 2 Mairesse, Jean 2 Mareels, Iven M. Y. 2 Martini, Horst 2 Mitchell, James D. 2 Müller-Hannemann, Matthias 2 Newman, Alexandra M. 2 Nielsen, Benny K. 2 Praeger, Cheryl Elisabeth 2 Prendergast, Kevin H. 2 Renjith, Pazhaniappan 2 Sadagopan, Narasimhan 2 Schneider, Csaba 2 Shapiro, Michael D. 2 Stepanova, E. I. 2 Wang, Wencheng 2 Wulff-Nilsen, Christian 1 Abbes, Samy 1 Adams, Jared 1 Albenque, Marie 1 Almeida, Maria Teresa 1 Alonso, Javier 1 Andersen, Patrick John 1 Andrés-Thió, Nicolau 1 Arkin, Esther M. 1 Astrakhantsev, Lev 1 Avdoshkin, Alexander 1 Ayala, José L. 1 Bae, Sang Won 1 Bailey, Rosemary A. 1 Baird, Paul 1 Banakh, Iryna 1 Banakh, Taras Onufrievich 1 Bannikova, A. G. 1 Bennell, Julia A. 1 Bortfeldt, Andreas 1 Bregman, Corey 1 Buchin, Kevin 1 Caffarelli, Elena A. 1 Cambazard, Hadrien 1 Cameron, Peter Jephson 1 Campeau, Louis-Pierre 1 Carvalho, Filipa D. 1 Cheong, Otfried 1 Chepoi, Victor D. 1 Chinyere, Ihechukwu 1 Choi, Seongjun 1 Ciobanu, Laura 1 de la Harpe, Pierre 1 Dudkin, Fëdor Anatol’evich 1 Dymarsky, Anatoly 1 Efrat, Alon 1 Elder, Murray J. 1 Espinoza, Daniel G. 1 Fardoun, Ali 1 Feldmann, Andreas Emil 1 Ferrari-Trecate, Giancarlo 1 Flores, Alfinio 1 Freden, Eric M. 1 Fung, Wai Shing 1 Gamache, Michel 1 Garavelli, Claudio 1 Garbulińska-Węgrzyn, Joanna 1 Goberna, Miguel Angel 1 Gouëzel, Sébastien 1 Grigorchuk, Rostislav Ivanovich 1 Groves, John R. J. 1 Grune, Ansgar 1 Hale, Trevor S. 1 Halverson, Denise M. 1 Hart, George William 1 Hermiller, Susan M. ...and 100 more Authors all top 5 Cited in 54 Serials 11 Journal of Global Optimization 9 European Journal of Operational Research 8 Networks 6 Computational Geometry 5 Discrete Applied Mathematics 5 Journal of Algebra 5 Algorithmica 4 Journal of Optimization Theory and Applications 4 Transactions of the American Mathematical Society 3 Geometriae Dedicata 3 Theoretical Computer Science 3 Computers & Operations Research 3 International Journal of Computational Geometry & Applications 3 Cybernetics and Systems Analysis 3 Journal of Mathematical Sciences (New York) 3 International Transactions in Operational Research 3 Journal of Combinatorial Optimization 2 Journal of Combinatorial Theory. Series A 2 Results in Mathematics 2 Graphs and Combinatorics 2 Annals of Operations Research 2 International Journal of Algebra and Computation 2 Computational Optimization and Applications 2 Optimization and Engineering 2 Optimization Letters 1 Communications in Algebra 1 International Journal of Mathematical Education in Science and Technology 1 Information Processing Letters 1 Israel Journal of Mathematics 1 Journal of Mathematical Biology 1 Journal of Geometry and Physics 1 Archiv der Mathematik 1 Automatica 1 Colloquium Mathematicum 1 Journal of Pure and Applied Algebra 1 Mathematische Nachrichten 1 Mathematika 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Real Analysis Exchange 1 SIAM Journal on Computing 1 Operations Research Letters 1 IMRN. International Mathematics Research Notices 1 Linear Algebra and its Applications 1 European Journal of Control 1 Theory of Computing Systems 1 Nexus Network Journal 1 Journal of Dynamical and Control Systems 1 Journal of High Energy Physics 1 Moscow Mathematical Journal 1 Discrete Optimization 1 Discrete Mathematics, Algorithms and Applications 1 Mathematical Programming Computation 1 Advances in Decision Sciences 1 Journal of Advanced Studies in Topology all top 5 Cited in 30 Fields 58 Operations research, mathematical programming (90-XX) 36 Combinatorics (05-XX) 32 Computer science (68-XX) 22 Group theory and generalizations (20-XX) 14 Convex and discrete geometry (52-XX) 8 Geometry (51-XX) 5 Numerical analysis (65-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 3 Differential geometry (53-XX) 3 General topology (54-XX) 3 Manifolds and cell complexes (57-XX) 3 Statistics (62-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Functional analysis (46-XX) 2 Algebraic topology (55-XX) 2 Probability theory and stochastic processes (60-XX) 2 Systems theory; control (93-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 General algebraic systems (08-XX) 1 Number theory (11-XX) 1 Topological groups, Lie groups (22-XX) 1 Measure and integration (28-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of particles and systems (70-XX) 1 Quantum theory (81-XX) 1 Biology and other natural sciences (92-XX) 1 Information and communication theory, circuits (94-XX) 1 Mathematics education (97-XX) Citations by Year