Prof. Dr. Peter Gritzmann
Professor Emeritus
Research Group: Discrete Optimization

gritzmann@tum.de
Tel. +49 89 289 - 16856

Office: 02.04.061
Boltzmannstraße 3, 85478 Garching bei München

Research Interests

  • Discrete Mathematics
  • Mathematical Optimization
  • Applied Geometry

Awards

Publications

2022

  • Bichler, Martin; Gritzmann, Peter; Karaenke, Paul; Ritter, Michael: On Airport Time Slot Auctions: A Market Design Complying with the IATA Scheduling Guidelines. Transportation Science, 2022 mehr…
  • Hartmann, Christoph; Opritescu, Daniel; Volk, Wolfram; Schmiedl, Felix; Ritter, Michael; Gritzmann, Peter: A knowledge-based automated driving approach for flexible production of individualized sheet metal parts. Knowledge-Based Systems 244, 2022, 108558 mehr…

2020

  • Brieden, Andreas; Gritzmann, Peter: Predicting show rates in air cargo transport. 2020 International Conference on Artificial Intelligence and Data Analytics for Air Transportation (AIDA-AT), IEEE, 2020, 1--9 mehr…

2019

  • Alpers, A. and P. Gritzmann: On the reconstruction of static and dynamic discrete structure. In: R. Ramlau and O. Scherzer (Hrsg.): The first 100 years of the Radon Transform. DeGruyter, 2019, 297 - 342 mehr…

2018

  • Alpers, A. and P. Gritzmann: Dynamic discrete tomography. Inverse Problems 3 (34), 2018, 1-26 mehr…
  • Alpers, A. and P. Gritzmann: On Double-Resolution Imaging and Discrete Tomography. SIAM Journal on Discrete Mathematics (32 / 2), 2018, 1369 - 1399 mehr…
  • Campi, S., P. Gritzmann and P. Gronchi: On the reverse Loomis-Whitney inequality. Discrete & Computational Geometry (60), 2018, 115 - 144 mehr…

2017

  • Chen, B., P. Gritzmann and S. Martello (Hrsg.): Combinatorial optimization: Theory, computation, and applications. Band 217. Discrete Applied Mathematics 217, 2017 mehr…
  • Albers, S., M. Bichler, F. Brandt, P. Gritzmann and R. Kolisch: Algorithmic Economics und Operations Research. Informatik-Spektrum (40), 2017, 165-171 mehr…
  • Alpers, A. and P. Gritzmann: Reconstructing binary matrices under window constraints from their row and column sums. Fundamenta Informaticae (153), 2017, 1-20 mehr…
  • Berger, F., P. Gritzmann and S. de Vries: Computing cyclic invariants for molecular graphs. Networks (70), 2017, 116 - 131 mehr…
  • Borgwardt, S., A. Brieden; P. Gritzmann: An LP-based k-means algorithm for balancing weighted point sets. European Journal of Operational Research (263), 2017, 349-355 mehr…
  • Borgwardt, S.; Brieden, A.; Gritzmann, P.: An LP-based k-means algorithm for balancing weighted point sets. European Journal of Operational Research 263 (2), 2017, 349-355 mehr…
  • Brieden, A., P. Gritzmann and F. Klemm: Constrained clustering via diagrams: A unified theory and its application to electoral district design. European Journal of Operational Research (263), 2017, 18-34 mehr…
  • Brieden, A., P. Gritzmann and M. Riepe: Preferences of psychiatric practitioners for core symptons of major depressive disorder: a hidden conjoint analysis. International Journal of Methods in Psychiatric Research (26), 2017, 1-7 mehr…
  • Brieden, Andreas; Gritzmann, Peter; Klemm, Fabian: Constrained clustering via diagrams: A unified theory and its application to electoral district design. European Journal of Operational Research 263 (1), 2017, 18-34 mehr…
  • Chen, Bo; Gritzmann, Peter; Martello, Silvano: Combinatorial optimization: theory, computation, and applications. Discrete Applied Mathematics 217, 2017, 1--78 mehr…
  • Grimm, U., P. Gritzmann and C. Huck: Discrete tomography of model sets: Reconstruction and uniqueness. In: M Baake and U. Grimm (Hrsg.): Aperiodic Order. Cambridge University Press, 2017, 39-71 mehr…
  • Gritzmann, P. and V. Klee: Computational convexity – Chapter 6. In: J.E. Goodman, J. O'Rourke and C.D. Toth (Hrsg.): CRC Handbook on Discrete and Computational Geometry. CRC Press, 2017, 937-968 mehr…

2016

  • Behrends, E., Gritzmann, P., und Ziegler, G. (Hrsg.): Pi und Co: Kaleidoskop der Mathematik (2nd revised and extended edition) – (2nd revised and extended edition). Springer (2nd revised and extended edition. Aufl.), 2016 mehr…

2015

  • Aldén, M., A. Alpers, A. Ehn, J. Gao, P. Gritzmann, Y. Kusano, Z. Li, D. Moseev, M. Salewski, M. Schwenk and J. Zhu: Measurements of 3D slip velocities and plasma column lengths of a gliding arc discharge. Applied Physics Letters (106), 2015, 044101-1-4 mehr…
  • Alpers, A., A. Brieden, P. Gritzmann, A. Lyckegaard and H. Poulsen: Generalized balanced power diagrams for 3D representations of polycrystals. Philosophical Magazine (95), 2015, 1016-1028 mehr…
  • Alpers, A., P. Gritzmann, D. Moseev and M. Salewski: 3D particle tracking velocimetry using dynamic discrete tomography. Computer Physics Communications (187), 2015, 130-136 mehr…
  • Anthony, E., S. Grant, P. Gritzmann and J.M. Rojas: Polynomial-time amoeba neighborhood membership and faster localized solving. In: J. Bennett, F. Vivodtzev and V. Pascucci (Hrsg.): Topological and Statistical Methods for Complex Data – Tackling Large-Scale, High-Dimensional, and Multivariate Data Sets. Springer, 2015 mehr…
  • Borgwardt, S.; A. Brieden and P. Gritzmann: Geometrisches Clustering: Mathematik für die Flurverbesserung. Mitteilungen der DMV (23), 2015, 88-96 mehr…

2014

  • Alpers, A.; P. Gritzmann and S. Fraß (support): November Image. Bild, 2014 mehr…
  • Borgwardt, S., A. Brieden and P. Gritzmann: Geometric clustering for the consolidation of farmland and woodland. The Mathematical Intelligencer (26), 2014, 37-44 mehr…

2013

  • Borgwardt, S., A. Brieden and P. Gritzmann: Mathematics in agriculture and Forestry: Geometric clustering for land consolidation. IFORS News, 2013 mehr…
  • Gritzmann, P.: Grundlagen der Mathematischen Optimierung. Springer, 2013 mehr…
  • Gritzmann, P., D. Opritescu, Felix Schmiedl and W. Volk: Automatisiertes Kopiertreiben - Analyse und Katalogisierung von Bauteilen und Fertigungsstrategien. Europäische Forschungsgesellschaft für Blechverarbeitung, Hannover, EFB-Forschungsbericht, Nr. 366 (Hannover) , 2013, mehr…

2012

  • Brieden, A. and P. Gritzmann: On optimal weighted balanced clusterings: gravity bodies and power diagrams. SIAM Journal on Discrete Mathematics (26), 2012, 415-434 mehr…
  • Brieden, A.; P. Gritzmann and M. Öllinger: Supply chain Safety: A Diversification model based on clustering. In: M. Eßig et. al. (Hrsg.): Supply Chain Safety Management: Achieving Security and Robustness in Logistics. Springer, 2012, 323-351 mehr…
  • Gritzmann, P.; Z. Yang, P. Sachnik, D. Opritescu, R. Golle, W. Volk, H. Hoffmann, F. Schmiedl and M. Ritter: Automated driving by standardizing and scaling the production strategy. Conference on Manufacturing Systems CIRP 3, 2012, 138-143 mehr…

2011

  • Borgwardt, S.; A. Brieden and P. Gritzmann: Constrained minimum-k-star clustering and its application to the consolidation of farmland. Operational Research 11 (1), 2011, 1-17 mehr…
  • Gritzmann, P.: Uber U-Bahn fahren, Schiffe versenken und heiße Laptops: Mathematische Probleme im Alltag. In: M. Hilbk and N. Schneider (Hrsg.): Ressourcen. Aus welchen Quellen lebt der Mensch?. LIT-Verlag, 2011, 139-151 mehr…
  • Gritzmann, P., B. Langfeld and M. Wiegelmann: Uniqueness in discrete tomography: Three remarks and a corollary. SIAM Journal on Discrete Mathematics (25), 2011, 1589-1599 mehr…

2010

  • Brieden, A. and P. Gritzmann: On clustering bodies: Geometry and polyhedra approximation. Discrete & Computational Geometry (44), 2010, 508-534 mehr…
  • Gritzmann, P.: Discrete Tomography: From Battleship to Nanotechnology. In: Martin Aigner and Ehrhard Behrends (Hrsg.): Mathematics Everywhere. American Mathematical Society, 2010, 81-98 mehr…
  • Gritzmann, P.; M. Ritter and P. Zuber: Optimal Wire Ordering and Spacing in Low Power Semiconductor Design. Mathematical Programming 121 (2), 2010, 201-220 mehr…

2009

  • Gritzmann, P.; B. Sturmfels and G.M. Ziegler (Hrsg.): Discrete & Computational Geometry: Special Issue Dedicated to the Memory of Victor Klee. Springer, 2009 mehr…
  • Berger, F.; P. Gritzmann and S. de Vries: Minimum cycle bases and their applications. In: Jürgen Lerner, Dorothea Wagner, Katharina A. Zweig (Hrsg.): Algorithmics of Large and Complex Networks. Springer, 2009, 1894-1909 mehr…

2008

  • Brandenberg, René; Gerken, Tobias; Gritzmann, Peter; Roth, Lucia: Modeling and optimization of correction measures for human extremities. In: W. Jäger and H.-J. Krebs (Hrsg.): Mathematics – Key Technology for the Future. Springer, 2008, 131-148 mehr…
  • Brandenberg, René; Gritzmann, Peter: Alla ricerca della viapiu breve: Un'avventura matematica. Springer (2nd Ed.. Aufl.), 2008 mehr…
  • Brunetti, S.; A. Del Lungo, P. Gritzmann and S. de Vries: On the reconstruction of binary and permutation matrices under (binary) tomographic constraints. Theoretical Computer Science (406), 2008, 63-71 mehr…
  • Gritzmann, P. and B. Langfeld: On the index of Siegel grids and its application to the tomography of quasicrystals. European Journal of Combinatorics (29), 2008, 1894-1909 mehr…
  • Gritzmann, P. and B. Sturmfels: Victor Klee 1925-2007. Notices of the American Mathematical Society, 2008, 467-473 mehr…

2007

  • Brieden, A. und P. Gritzmann: Von Ackerbau und polytopalen Halbnormen: Diskrete Optimierung für die Landwirtschaft. In: S. Hußmann and B. Lutz-Westphal (Hrsg.): Mathematik erleben - Kombinatorische Optimierung lehren und lernen. Vieweg, 2007, 275-304 mehr…
  • Gritzmann, P.: On the mathematics of semantic spaces. In: A. Mehler and R. Köhler (Hrsg.): Aspects of Automatic Text Analysis. Springer, 2007, 95-115 mehr…

2006

  • Alpers, A. and P. Gritzmann: On stability, error correction and noise compensation in discrete tomography. SIAM Journal on Discrete Mathematics (20), 2006, 227-239 mehr…
  • Baake, M.; P. Gritzmann, C. Huck, B. Langfeld and K. Lord: Discrete tomography of planar model sets. Acta Crystallographica, Section A (62), 2006, 419-433 mehr…

2005

  • Baake, C.; P. Gritzmann, C. Huck, B. Langfeld and K. Lord: Discrete tomography of mathematcal qquasicrystals: A primer. Electronic Notes in Discrete Mathematics (20), 2005, 179-191 mehr…
  • Brandenberg, René; Gritzmann, Peter: Zuviele Bäume? mathematik lehren (129), 2005, 62-64 mehr…
  • Brandenberg, René; Gritzmann, Peter: Das Geheimnis des kürzesten Weges: Ein mathematisches Abenteuer. Springer (3. Aufl.), 2005 mehr…
  • Gritzmann, P. and T. Theobald: On the complexity of visibility problems with moving viewpoints. In: J.E. Goodman et.al. (Hrsg.): Combinatorial and Computational Geometry. Cambridge University Press, 2005, 377-397 mehr…
  • Gritzmann, P.; M. Ritter, W. Stechele and P. Zuber: The optimal wire order for low power CMOS. 15th International Workshop on Integrated Circuit and System Design, Power and Timing Modeling, Optimization and Simulation (Lecture Notes in Computer Science 3728), Springer, 2005Leuven, Belgium, 674-683 mehr…

2004

  • Berger, F.; P. Gritzmann and S. de Vries: Minimum cycle bases for network graphs. Algorithmica (40), 2004, 51-62 mehr…
  • Brieden, A. and P. Gritzmann: A quadratic optimization model for the consolidation of farmland by means of lend-lease agreements. Operations Research Proceedings 2003, Springer, 2004, 324-331 mehr…
  • Brieden, A. und P. Gritzmann: Diskrete Optimierung (nicht nur) für die Landwirtschaft. In: A. Heinze and S. Kuntze (Hrsg.): Beitrage zum Mathematikunterricht. Franzbecker, 2004, 15-22 mehr…
  • F.L. Bauer und P. Gritzmann: Eine Million Dollar für die Sicherheit Ihrer Kreditkarte. Aviso (1), 2004, 24-25 mehr…
  • Gritzmann, P.: Mathematik - Einladung zum Gedankenspiel. Zeitschrift, 2004 mehr…
  • Gritzmann, P.: Unendliche Weiten. Aviso (1), 2004, 42-47 mehr…
  • Gritzmann, P. and V. Klee: Computational convexity. In: J.E. Goodman and J.O'Rourke (Hrsg.): CRC Handbook on Discrete and Computational Geometry. Boca Raton (2nd extended ed.. Aufl.), 2004, 693-718 mehr…

2003

  • Brieden, A. and P. Gritzmann: On the inapproximability of polynomial-programming, the geometry of stable sets and the power of relaxation. In: B. Aronov et al. (Hrsg.): Discrete and Computational Geometry. Springer, 2003, 303-313 mehr…
  • Gritzmann, P. and S. de Vries: Reconstructing crystallinge structures from few images under high resolution transmission electron microscopy. In: W. Jäger and H.-J. Krebs (Hrsg.): Mathematics - Key Technology for the Future. Springer, 2003, 441-459 mehr…

2002

  • Gritzmann, P.: Diskrete Tomographie: Vom Schiffeversenken bis zur Nanotechnologie. In: M. Aigner and E. Behrends (Hrsg.): Alles Mathematik. Vieweg (2. ed. Aufl.), 2002, 109-128 mehr…
  • Gritzmann, P. and S. de Vries: On the algorithmic inversion of the discrete Radon transform. Theoretical Computer Science (281), 2002, 455-469 mehr…

2001

  • Alpers, A.; P. Gritzmann and L. Thorens: Stability and Instability in Discrete Tomography. In: Bertrand et al. (Eds.) (Hrsg.): Lecture Notes in Computer Science. Sp, 2001, 175-186 mehr…
  • Brieden, A.; P. Gritzmann, R. Kannan, V. Klee, L. Lovász and M. Simonovits: Deterministic and randomized polynomial-time approximation of radii. Mathematika (48), 2001, 63-105 mehr…

2000

  • Brieden, A.; P. Gritzmann and V. Klee: On the inapproximability of some geometric and quadratic optimization problems. In: P.M. Pardalos (Hrsg.): Approximation and Complexity in Numerical Optimization: Continuous and Discrete Problems. Kluwer, 2000, 96-115 mehr…
  • Brieden, A.; P. Gritzmann and V. Klee: Oracle-polynomial-time approximation of largest simplices in convex bodies. Discrete Mathematics (221), 2000, 79-92 mehr…
  • Burger, T. and P. Gritzmann: Polytopes in combinatorial optimization. In: C.A. Gorini (Hrsg.): Geometry at Work. Mathematical Association of America, 2000, 195-217 mehr…
  • Burger, T. and P. Gritzmann: Finding Optimal Shadows of Polytopes. Discrete & Computational Geometry (24), 2000, 219-240 mehr…
  • Gardner, R.; P. Gritzmann and D.Prangenberg: On the computational complexity of determining polyatomic structures by X-rays. Theoretical Computer Science (233), 2000, 91-106 mehr…
  • Gritzmann, P.; S. de Vries and M. Wiegelmann: Approximating Binary Images from Discrete X-Rays. SIAM Journal on Optimization (11), 2000, 522-546 mehr…

1999

  • Gardner, R. and P. Gritzmann: Uniqueness and complexity in discrete tomography. In: G. Herman and A. Kuba (Hrsg.): Discrete Tomography: Foundations, Algorithms, Applications. Birkhauser, 1999, 85-113 mehr…
  • Gardner, R.; P. Gritzmann and D. Prangenberg: On the computation complexity of reconstructing lattice sets from their X-rays. Discrete Mathematics (202), 1999, 45-71 mehr…
  • Gritzmann, P. and A. Hufnagel: On the algorithmic complexity of Minkowski's reconstruction theorem. Journal of the London Mathematical Society (2) (59), 1999, 1081-1100 mehr…

1998

  • Brieden, A.; P. Gritzmann, R. Kannan, V. Klee, L. Lovàsz and M. Simonovits: Approximation of diameters: randomization doesn’t help. 1998 IEEE Symp. Found. Computer Sci. (FOCS’98), 1998, 244-251 mehr…
  • Dyer, M.; P. Gritzmann and A. Hufnagel: On the complexity of computing mixed volumes. SIAM Journal on Computing (27), 1998, 356-400 mehr…
  • Gritzmann, P. and V. Klee: Separation by hyperplanes in finite-dimensional vector spaces over archimedean ordered fields. Journal of Convex Analysis (5), 1998, 279-301 mehr…
  • Gritzmann, P.; D. Prangenberg, S. de Vries and M. Wiegelmann: Success and failure of certain reconstruction and uniqueness algorithms in discrete tomography. International Journal of Imaging Systems and Technology (9), 1998, 101-109 mehr…

1997

  • Gritzmann, P.; R. Horst, E. Sachs and R. Tichatschke: Recent Advances in Optimization. , Proc. 8th French-German Conf. Opt.. Springer, 1997 mehr…
  • Brieden, A. and P. Gritzmann: On Helly's theorem: Algorithms and extensions. Discrete & Computational Geometry (17), 1997, 393-410 mehr…
  • Gardner, R. and P. Gritzmann: Discrete tomography: Determination of finite sets by X-rays. Transactions of the American Mathematical Society (349), 1997, 2271-2295 mehr…
  • Gritzmann, P.: On the reconstruction of finite lattice sets from their X-rays. Discrete Geometry for Computer Imagery, Springer, 1997, 19-32 mehr…
  • Gritzmann, P. and V. Klee: Computational convexity – Chapter 27. In: J.E. Goodman and J. O'Rourke (Hrsg.): CRC Handbook on Discrete and Computational Geometry. CRC Press, 1997, 491-515 mehr…

1996

  • Burger, T.; P. Gritzmann and V. Klee: Polytope projection and projection polytopes. The American Mathematical Monthly (103), 1996, 742-755 mehr…
  • Gardner, R.; P. Gritzmann and D. Prangenberg: On the reconstruction of binary images from their discrete Radon transforms. Proc. Intern. Symp. Optical Science, Engineering, and Instrumentation, 1996, 121-132 mehr…

1995

  • Gritzmann, P.: Discrete Tomography. AvH-Magazin (66), 1995, 23-32 mehr…
  • Gritzmann, P. and A. Hufnagel: A polynomial-time algorithm for Minkowski reconstruction. Proc. 11the ACM Symp. on Computational Geom., 1995, 1-9 mehr…
  • Gritzmann, P. and V. Klee: On the complexity of some basic problems in computational convexity: I. Containment problems – Trends in Discrete Mathematics. In: W. Deuber; H.-J. Prömel and B. Voigt (Hrsg.): Topics in Discrete Mathematics. North-Holland, 1995, 129-174 mehr…
  • Gritzmann, P.; V. Klee and B.S. Tam: Cross-positive matrices revisited. Linear Algebra and its Applications (223/224), 1995, 285-305 mehr…
  • Gritzmann, P.; V. Klee and D. Larman: Largest j-simplices in n-polytopes. Discrete & Computational Geometry (13), 1995, 477-515 mehr…
  • Gritzmann, P.; V. Klee and J. Westwater: Polytope containment and determination by linear probes. Proceedings of the London Mathematical Society 3 (70), 1995, 691-720 mehr…

1994

  • Gardner, R. and P. Gritzmann: Successive determination and verification of polytopes by their X-rays. Journal of the London Mathematical Society (50), 1994, 375-391 mehr…
  • Gritzmann, P. and V. Klee: On the complexity of some basic problems in computational convexity: II. Volume and mixed volumes. In: T. Bisztriczky, P. McMullen, R. Schneider and A. Ivic Weiss (Hrsg.): Polytopes: Abstract, Convex and Computational. Kluwer, 1994, 373-466 mehr…
  • Gritzmann, P. and V. Klee: On the complexity of some basic problems in computational convexity: I. Containment problems. Discrete Mathematics (136), 1994, 129-174 mehr…
  • Gritzmann, P. and V. Klee: External tangents and closedness of cone + subspace. Journal of Mathematical Analysis and Applications (188), 1994, 441-457 mehr…

1993

  • Gritzmann, P. and B. Sturmfels: Minkowski addition of polytopes: Computational complexity and applications to Gröbner bases. SIAM Journal on Discrete Mathematics (6), 1993, 246-269 mehr…
  • Gritzmann, P. and J.M. Wills: Finite packing and covering. In: P.M. Gruber and J.M. Wills (Hrsg.): Handbook of Convex Geometry. North-Holland, 1993, 861-898 mehr…
  • Gritzmann, P. and J.M. Wills: Lattice points. In: P.M. Gruber and J.M. Wills (Hrsg.): Handbook of Convex Geometry. North-Holland, 1993, 765-798 mehr…
  • Gritzmann, P. and V. Klee: Mathematical programming and convex geometry. In: P.M. Gruber and J.M. Wills (Hrsg.): Handbook of Convex Geometry. North-Holland, 1993, 627-674 mehr…
  • Gritzmann, P. and V. Klee: Computational complexity of inner and outer j-radii of polytopes in finite dimensional normed spaces. Mathematical Programming (59), 1993, 163-213 mehr…

1992

  • Gritzmann, P.; R. Hettich, R. Horst and E. Sachs: Operations Research ’91: Extended Abstracts of the 16th Syposium on Operations Research held at the University of Trier. . Physica, 1992 mehr…
  • Betke, U. and P. Gritzmann: Projection algorithms for linear programming. European Journal of Operations Research (60), 1992, 287-295 mehr…
  • Gritzmann, P. and V. Klee: Inner and outer j-radii of convex bodies in finite dimensional normed spaces. Discrete & Computational Geometry (7), 1992, 255-280 mehr…
  • Gritzmann, P. and V. Klee: Deciding uniqueness in norm-maximization. Mathematical Programming (57), 1992, 203-214 mehr…

1991

  • Gritzmann, P. and B. Sturmfels: Applied Geometry and Discrete Mathematics: The "Victor Klee Festschrift". . American Mathematical Society, 1991 mehr…
  • Barnette, D.; P. Gritzmann and R. Höhne: On valences of polyhedra. Journal of Combinatorial Theory, Series A (58), 1991, 279-300 mehr…
  • Gritzmann, P.; B. Mohar, J. Pach and R. Pollack: Straight-line embeddings of triangulated n-gons. Amer. Math. Montly, 1991, 165-166 mehr…
  • Gritzmann, P.; L. Habsieger and V. Klee: Good and bad radii of convex polygons. SIAM Journal on Computing (20), 1991, 395-403 mehr…

1990

  • Boedlaender, H.L.; P. Gritzmann, V. Klee and J. van Leeuwen: Computational complexity of norm-maximization. Combinatorica (10), 1990, 203-225 mehr…
  • Gritzmann, P., F. Tóth and J.M. Wills: On finite multiple packings. Archiv der Mathematik (55), 1990, 407-411 mehr…
  • Gritzmann, P.; Klee, V. and J. Westwater: On the limited power of linear probes and other optimization oracles. Proc. 6th ACM Symp. on Computational Geometry, 1990, 92-101 mehr…

1989

  • Gritzmann, P. and M. Lassak: Estimates for the minimal width of polytopes inscribed in convex bodies. Discrete & Computational Geometry (4), 1989, 627-635 mehr…
  • Gritzmann, P.; F. Tóth and J.M. Wills: Finite sphere packing and sphere covering. Discrete & Computational Geometry (4), 1989, 19-40 mehr…

1988

  • Gritzmann, P.: Problems concerning polyhedral 2-manifolds. In: M. Senechal and G. Fleck (Hrsg.): Shaping Space, A Polyhedral Approach. Birkhäuser, 1988, 258 mehr…
  • Gritzmann, P.: A characterization of all loglinear inequalities for three quermassintegrals. Proceedings of the American Mathematical Society (104), 1988, 563-570 mehr…
  • Gritzmann, P. and V. Klee: On the 0-1-maximization of positive definite quadratic forms. In: Operations Research Proceedings. Springer, 1988, 222-227 mehr…

1987

  • Gritzmann, P.: Über die j-ten Überdeckungsdichten konvexer Körper. Monatshefte Mathematik (103), 1987, 207-220 mehr…
  • Gritzmann, P.; J.M. Wills and D. Wrase: A new isoperimetric inequality. Journal für die reine und angewandte Mathematik (379), 1987, 22-30 mehr…

1986

  • Betke, U. and P. Gritzmann: An application of valuation theory to two problems of discrete geometry. Discrete Mathematics (58), 1986, 81-85 mehr…
  • Gritzmann, P.: Finite packing of equal balls. Journal of the London Mathematical Society (33), 1986, 543-553 mehr…
  • Gritzmann, P. and J.M. Wills: An upper estimate for the lattice point enumerator. Mathematika (33), 1986, 196-202 mehr…
  • Gritzmann, P. and J.M. Wills: Finite packing and covering. Studia Scientiarum Mathematicarum Hungarica (21), 1986, 151-164 mehr…

1985

  • Gritzmann, P.: Ein Approximationssatz für konvexe Körper. Geometriae Dedicata (19), 1985, 277-286 mehr…
  • Gritzmann, P.: Lattice covering of space with symmetric convex bodies. Mathematika (19), 1985, 277-286 mehr…
  • Gritzmann, P.: Finite Lagerung und die Approximation konvexer Körper durch verallgemeinerte Zylinder. Proc. Conf. Discrete Geom., 1985, 129-137 mehr…
  • Gritzmann, P. and J.M. Wills: On two finite covering problems of Bambah, Rogers, Woods and Zassenhaus. Monatshefte Mathematik (99), 1985, 279-296 mehr…

1984

  • Betke, U. and P. Gritzmann: Über L. Fejes Tóths Wurstvermutung in kleinen Dimensionen. Acta Math. Hung. (43), 1984, 299-307 mehr…
  • Betke, U. and P. Gritzmann: Polyedrische 2-Mannigfaltigkeiten mit wenigen nicht-konvexen Ecken. Monatshefte Mathematik (97), 1984, 1-20 mehr…
  • Gritzmann, P.: The valence-functional. Annals of Discrete Mathematics (20), 1984, 161-163 mehr…
  • Gritzmann, P.; F. Tóth and J.M. Wills: Sausage-skin problems for finite coverings. Mathematika (31), 1984, 117-136 mehr…

1983

  • Gritzmann, P.: Der Bereich der f-Vektoren für polyedrische Realisierungen des Torus. Mitt. Math. Ges. Hamburg XI (2), 1983, 178-182 mehr…
  • Gritzmann, P.: The toroidal anologue to Eberhard's theorem. Mathematika (30), 1983, 274-290 mehr…

1982

  • Betke, U. and P. Gritzmann: A combinatorial condition for the existence of polyhedral 2-manifolds. Israel Journal of Mathematics (42), 1982, 297-299 mehr…
  • Betke, U.; P. Gritzmann and J.M. Wills: Slices of L. Fejes Tóth's sausage conjecture. Mathematika (29), 1982, 194-201 mehr…
  • Gritzmann, P.: Upper and lower bounds of the valence-funtional. Israel Journal of Mathematics (43), 1982, 237-243 mehr…

1981

  • Gritzmann, Peter: Tight polyhedral realizations of closed 2-dimensional manifolds in R^3. Journal of Geometry (17), 1981, 69-76 mehr…