Edit Profile (opens in new tab) Alexander, Ralph Co-Author Distance Author ID: alexander.ralph Published as: Alexander, Ralph; Alexander, R. External Links: MGP Documents Indexed: 25 Publications since 1967 Co-Authors: 5 Co-Authors with 4 Joint Publications 72 Co-Co-Authors Co-Authors 21 single-authored 1 Alexander, Stephanie B. 1 Berg, I. David 1 Foote, Robert L. 1 Stolarsky, Kenneth B. 1 Wetzel, John E. all top 5 Serials 3 Pacific Journal of Mathematics 2 Acta Mathematica Academiae Scientiarum Hungaricae 2 American Mathematical Monthly 2 Mathematics Magazine 2 Geometriae Dedicata 2 Proceedings of the American Mathematical Society 2 Transactions of the American Mathematical Society 1 Rocky Mountain Journal of Mathematics 1 Acta Arithmetica 1 Illinois Journal of Mathematics 1 Indiana University Mathematics Journal 1 Inventiones Mathematicae 1 Journal of Geometry 1 Michigan Mathematical Journal 1 Combinatorica 1 Journal of the Australian Mathematical Society all top 5 Fields 13 Convex and discrete geometry (52-XX) 7 Number theory (11-XX) 5 Geometry (51-XX) 5 Differential geometry (53-XX) 2 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 General topology (54-XX) 1 Probability theory and stochastic processes (60-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 20 Publications have been cited 218 times in 179 Documents Cited by ▼ Year ▼ Extremal problems of distance geometry related to energy integrals. Zbl 0293.52005 Alexander, Ralph; Stolarsky, Kenneth B. 35 1974 On the sum of distances between n points on a sphere. Zbl 0265.52009 Alexander, R. 30 1972 Lipschitzian mappings and total mean curvature of polyhedral surfaces. I. Zbl 0563.52008 Alexander, Ralph 26 1985 Geodesics in Riemannian manifolds-with-boundary. Zbl 0469.53039 Alexander, Ralph; Alexander, S. 19 1981 Planes for which the lines are the shortest paths between points. Zbl 0379.50002 Alexander, Ralph 18 1978 Geometric methods in the study of irregularities of distribution. Zbl 0719.11047 Alexander, R. 16 1990 Density and multiplicative structures of sets of integers. Zbl 0189.04404 Alexander, Ralph 13 1967 Generalized sums of distances. Zbl 0306.53058 Alexander, Ralph 11 1975 Zonoid theory and Hilbert’s fourth problem. Zbl 0659.51022 Alexander, Ralph 10 1988 The width and diameter of a simplex. Zbl 0372.52003 Alexander, Ralph 8 1977 Two notes on metric geometry. Zbl 0409.52006 Alexander, Ralph 6 1977 Principles of a new method in the study of irregularities of distribution. Zbl 0721.11028 Alexander, Ralph 6 1991 On the sum of distances between n points on a sphere. II. Zbl 0375.52010 Alexander, R. 5 1977 A problem about lines and ovals. Zbl 0165.56203 Alexander, R. 5 1968 On an inequality of J. W. S. Cassels. Zbl 0279.10021 Alexander, Ralph 3 1972 The circumdisk and its relation to a theorem of Kirszbraun and Valentine. Zbl 0542.52002 Alexander, Ralph 3 1984 Metric embedding techniques applied to geometric inequalities. Zbl 0314.52004 Alexander, Ralph 1 1975 Integral-geometric formulas for perimeter in \(S^2\), \(H^2\) and Hilbert planes. Zbl 1108.53037 Alexander, Ralph; Berg, I. D.; Foote, Robert L. 1 2005 Density and digits of sequences of integers. Zbl 0188.10203 Alexander, R. 1 1969 The geometry of wide curves in the plane. Zbl 1181.52014 Alexander, Ralph 1 2009 The geometry of wide curves in the plane. Zbl 1181.52014 Alexander, Ralph 1 2009 Integral-geometric formulas for perimeter in \(S^2\), \(H^2\) and Hilbert planes. Zbl 1108.53037 Alexander, Ralph; Berg, I. D.; Foote, Robert L. 1 2005 Principles of a new method in the study of irregularities of distribution. Zbl 0721.11028 Alexander, Ralph 6 1991 Geometric methods in the study of irregularities of distribution. Zbl 0719.11047 Alexander, R. 16 1990 Zonoid theory and Hilbert’s fourth problem. Zbl 0659.51022 Alexander, Ralph 10 1988 Lipschitzian mappings and total mean curvature of polyhedral surfaces. I. Zbl 0563.52008 Alexander, Ralph 26 1985 The circumdisk and its relation to a theorem of Kirszbraun and Valentine. Zbl 0542.52002 Alexander, Ralph 3 1984 Geodesics in Riemannian manifolds-with-boundary. Zbl 0469.53039 Alexander, Ralph; Alexander, S. 19 1981 Planes for which the lines are the shortest paths between points. Zbl 0379.50002 Alexander, Ralph 18 1978 The width and diameter of a simplex. Zbl 0372.52003 Alexander, Ralph 8 1977 Two notes on metric geometry. Zbl 0409.52006 Alexander, Ralph 6 1977 On the sum of distances between n points on a sphere. II. Zbl 0375.52010 Alexander, R. 5 1977 Generalized sums of distances. Zbl 0306.53058 Alexander, Ralph 11 1975 Metric embedding techniques applied to geometric inequalities. Zbl 0314.52004 Alexander, Ralph 1 1975 Extremal problems of distance geometry related to energy integrals. Zbl 0293.52005 Alexander, Ralph; Stolarsky, Kenneth B. 35 1974 On the sum of distances between n points on a sphere. Zbl 0265.52009 Alexander, R. 30 1972 On an inequality of J. W. S. Cassels. Zbl 0279.10021 Alexander, Ralph 3 1972 Density and digits of sequences of integers. Zbl 0188.10203 Alexander, R. 1 1969 A problem about lines and ovals. Zbl 0165.56203 Alexander, R. 5 1968 Density and multiplicative structures of sets of integers. Zbl 0189.04404 Alexander, Ralph 13 1967 all cited Publications top 5 cited Publications all top 5 Cited by 244 Authors 9 Alexander, Ralph 8 Wolf, Reinhard 5 Alexandrov, Victor A. 5 Nickolas, Peter 5 Tóth, János T. 4 Bezdek, Károly 4 Bukor, József 4 de Hoop, Maarten V. 4 Lassas, Matti J. 4 Matoušek, Jiří 4 Oksanen, Lauri 4 Roşca, Daniela 4 Skriganov, Maxim M. 4 Stolarsky, Kenneth B. 3 Dubickas, Artūras 3 Filip, Ferdinánd 3 Gaifullin, Alexander A. 3 Saksala, Teemu 3 Zhao, Changjian 2 Albano, Paolo 2 Ambartzumian, Ruben Victorovich 2 Beck, József 2 Berg, I. David 2 Brandenberg, René 2 Brauchart, Johann S. 2 Csikós, Balázs 2 Falcón Ganfornina, Raúl Manuel 2 Grabner, Peter J. 2 Grekos, Georges 2 Holhoş, Adrian 2 Ilmavirta, Joonas 2 Kurylëv, Yaroslav Vadimovich 2 Leng, Gangsong 2 Lim, Tongseok 2 McCann, Robert J. 2 Menegatto, Valdir Antonio 2 Mišík, Ladislav jun. 2 Mönkkönen, Keijo 2 Perez, Joe J. 2 Plonka, Gerlind 2 Steinerberger, Stefan 2 Stollmann, Peter 2 Šustek, Jan 2 Tryba, Jacek 2 Valtr, Pavel 2 Welzl, Emo 2 Zhang, Lizhao 1 Akopyan, Arseniy V. 1 Alarcon, Eberth G. II 1 Albrecht, Felix 1 Ambrus, Gergely 1 Aramyan, P. H. 1 Arias-Castro, Ery 1 Assouad, Patrice 1 Balitskiy, Alexey 1 Ball, Keith Martin 1 Barg, Alexander M. 1 Basco, Vincenzo 1 Battye, Richard A. 1 Beiglböck, Mathias 1 Bergelson, Vitaly 1 Berman, Joel D. 1 Bezdek, András 1 Bilyk, Dmitry 1 Binh, Tran Quoc 1 Bondarenko, Andriy V. 1 Borisenko, Aleksandr Andreevich 1 Boĭvalenkov, Pet”r Georgiev 1 Brandolini, Luca 1 Bukh, Boris 1 Cannarsa, Piermarco 1 Capoyleas, Vasilis 1 Chalopin, Jérémie 1 Charytanowicz, Katarzyna 1 Chazelle, Bernard 1 Chen, Liangyu 1 Chen, William Wai Lim 1 Cheney, Elliott Ward jun. 1 Chepoi, Victor D. 1 Cieślak, Waldemar 1 Colzani, Leonardo 1 Connelly, Robert 1 Crasta, Graziano 1 De Leeuw, Jan 1 Demaine, Erik D. 1 Demaine, Martin L. 1 Deza, Michel Marie 1 Di Nasso, Mauro 1 Díaz-Báñez, Jose Miguel 1 Dick, Josef 1 Doust, Ian 1 Dumitrescu, Adrian 1 Edelsbrunner, Herbert 1 Ehler, Martin 1 Etayo, Ujué 1 Ezra, Esther E. 1 Fabila-Monroy, Ruy 1 Fekete, Sándor P. 1 Filliman, Paul 1 Flores Dorado, José Luis ...and 144 more Authors all top 5 Cited in 95 Serials 13 Discrete & Computational Geometry 9 Mathematika 8 Proceedings of the American Mathematical Society 7 Transactions of the American Mathematical Society 4 Israel Journal of Mathematics 4 Advances in Mathematics 4 Journal of Geometry 4 Acta Mathematica Hungarica 3 Journal of Mathematical Analysis and Applications 3 Journal of Number Theory 3 Monatshefte für Mathematik 3 Combinatorica 3 Constructive Approximation 3 The Journal of Geometric Analysis 2 Acta Mathematica Academiae Scientiarum Hungaricae 2 Bulletin of the Australian Mathematical Society 2 Discrete Mathematics 2 Journal of Mathematical Physics 2 Rocky Mountain Journal of Mathematics 2 Beiträge zur Algebra und Geometrie 2 Archiv der Mathematik 2 Geometriae Dedicata 2 Inventiones Mathematicae 2 Journal of Computational and Applied Mathematics 2 Journal of Differential Equations 2 Journal of Functional Analysis 2 Manuscripta Mathematica 2 Mathematische Nachrichten 2 Mathematica Slovaca 2 Mathematische Zeitschrift 2 SIAM Journal on Computing 2 Probability Theory and Related Fields 2 Journal of Complexity 2 Science in China. Series A 2 St. Petersburg Mathematical Journal 2 Journal of Inequalities and Applications 2 Discrete Optimization 2 Proceedings of the Steklov Institute of Mathematics 1 Computers & Mathematics with Applications 1 Discrete Applied Mathematics 1 International Journal of Mathematical Education in Science and Technology 1 Inverse Problems 1 Information Processing Letters 1 Journal of Computational Physics 1 Lithuanian Mathematical Journal 1 Psychometrika 1 Russian Mathematical Surveys 1 Arkiv för Matematik 1 Mathematics of Computation 1 The Mathematical Intelligencer 1 Acta Arithmetica 1 Annales de l’Institut Fourier 1 Applied Mathematics and Optimization 1 Czechoslovak Mathematical Journal 1 Duke Mathematical Journal 1 Information Sciences 1 Journal of Applied Probability 1 Journal of Approximation Theory 1 Journal of Combinatorial Theory. Series A 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Rendiconti del Seminario Matematico della Università di Padova 1 Results in Mathematics 1 Siberian Mathematical Journal 1 Transactions of the Moscow Mathematical Society 1 European Journal of Combinatorics 1 Stochastic Analysis and Applications 1 Revista Matemática Iberoamericana 1 Random Structures & Algorithms 1 Computational Geometry 1 Differential Geometry and its Applications 1 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 1 Aequationes Mathematicae 1 Communications in Partial Differential Equations 1 SIAM Journal on Applied Mathematics 1 Stochastic Processes and their Applications 1 Applicable Algebra in Engineering, Communication and Computing 1 Computational Optimization and Applications 1 Calculus of Variations and Partial Differential Equations 1 Journal de Théorie des Nombres de Bordeaux 1 Advances in Computational Mathematics 1 Annals of Mathematics and Artificial Intelligence 1 Conformal Geometry and Dynamics 1 Mathematical Inequalities & Applications 1 Journal of the European Mathematical Society (JEMS) 1 Algebraic & Geometric Topology 1 Journal of the Australian Mathematical Society 1 Mathematics in Computer Science 1 Inverse Problems and Imaging 1 Banach Journal of Mathematical Analysis 1 Acta Universitatis Sapientiae. Mathematica 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Proceedings of the American Mathematical Society. Series B 1 Constructive Mathematical Analysis 1 Journal of Finsler Geometry and its Applications 1 Annales Fennici Mathematici all top 5 Cited in 44 Fields 77 Convex and discrete geometry (52-XX) 29 Number theory (11-XX) 29 Differential geometry (53-XX) 26 Geometry (51-XX) 15 Combinatorics (05-XX) 13 Probability theory and stochastic processes (60-XX) 11 Potential theory (31-XX) 11 Numerical analysis (65-XX) 11 Computer science (68-XX) 10 Partial differential equations (35-XX) 8 Functional analysis (46-XX) 8 Global analysis, analysis on manifolds (58-XX) 8 Geophysics (86-XX) 7 General topology (54-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 6 Operations research, mathematical programming (90-XX) 5 Functions of a complex variable (30-XX) 5 Sequences, series, summability (40-XX) 4 Measure and integration (28-XX) 4 Statistics (62-XX) 4 Mechanics of particles and systems (70-XX) 3 Real functions (26-XX) 3 Approximations and expansions (41-XX) 2 Mathematical logic and foundations (03-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Difference and functional equations (39-XX) 2 Abstract harmonic analysis (43-XX) 2 Integral transforms, operational calculus (44-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 1 History and biography (01-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Topological groups, Lie groups (22-XX) 1 Special functions (33-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Operator theory (47-XX) 1 Algebraic topology (55-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX) 1 Information and communication theory, circuits (94-XX) 1 Mathematics education (97-XX) Citations by Year