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ORCIDPeter Gritzmann
Person information
- affiliation: Technical University Munich, Germany
- award (1992): Max Planck Research Award
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Books and Theses
- 2005
[b1]Peter Gritzmann, René Brandenberg:
Das Geheimnis des kürzesten Weges - ein mathematisches Abenteuer (3. Aufl.). Springer 2005, ISBN 978-3-540-22193-7, pp. 1-362
Journal Articles
- 2023
- [j49]Andreas Alpers
, Maximilian Fiedler, Peter Gritzmann, Fabian Klemm:
Turning Grain Maps into Diagrams. SIAM J. Imaging Sci. 16(1): 223-249 (2023) - [j48]Martin Bichler, Peter Gritzmann, Paul Karaenke, Michael Ritter:
On Airport Time Slot Auctions: A Market Design Complying with the IATA Scheduling Guidelines. Transp. Sci. 57(1): 27-51 (2023) - 2022
- [j47]Christoph Hartmann, Daniel Opritescu, Wolfram Volk, Felix Schmiedl, Michael Ritter, Peter Gritzmann:
A knowledge-based automated driving approach for flexible production of individualized sheet metal parts. Knowl. Based Syst. 244: 108558 (2022) - 2021
- [j46]Frank Reinhold, Christian Schons, Sarah Scheuerer, Peter Gritzmann, Jürgen Richter-Gebert, Kristina M. Reiss:
Students' coping with the self-regulatory demand of crisis-driven digitalization in university mathematics instruction: do motivational and emotional orientations make a difference? Comput. Hum. Behav. 120: 106732 (2021) - 2020
- [j45]Peter Gritzmann, Barbara Langfeld:
On Polyatomic Tomography over Abelian Groups: Some Remarks on Consistency, Tree Packings and Complexity. Discret. Comput. Geom. 64(2): 290-303 (2020) - 2018
- [j44]Stefano Campi, Peter Gritzmann, Paolo Gronchi:
On the Reverse Loomis-Whitney Inequality. Discret. Comput. Geom. 60(1): 115-144 (2018) - [j43]Andreas Alpers, Peter Gritzmann:
On Double-Resolution Imaging and Discrete Tomography. SIAM J. Discret. Math. 32(2): 1369-1399 (2018) - 2017
- [j42]Bo Chen, Peter Gritzmann, Silvano Martello:
Combinatorial optimization: theory, computation, and applications. Discret. Appl. Math. 217: 1-2 (2017) - [j41]Andreas Brieden, Peter Gritzmann, Fabian Klemm:
Constrained clustering via diagrams: A unified theory and its application to electoral district design. Eur. J. Oper. Res. 263(1): 18-34 (2017) - [j40]Steffen Borgwardt, Andreas Brieden, Peter Gritzmann:
An LP-based k-means algorithm for balancing weighted point sets. Eur. J. Oper. Res. 263(2): 349-355 (2017) - [j39]Andreas Alpers, Peter Gritzmann:
Reconstructing Binary Matrices under Window Constraints from their Row and Column Sums. Fundam. Informaticae 155(4): 321-340 (2017) - [j38]Susanne Albers, Martin Bichler, Felix Brandt, Peter Gritzmann, Rainer Kolisch:
Algorithmic Economics und Operations Research. Inform. Spektrum 40(2): 165-171 (2017) - [j37]Franziska Berger, Peter Gritzmann, Sven de Vries:
Computing cyclic invariants for molecular graphs. Networks 70(2): 116-131 (2017) - 2015
- [j36]Andreas Alpers, Peter Gritzmann, Dmitry Moseev, Mirko Salewski:
3D particle tracking velocimetry using dynamic discrete tomography. Comput. Phys. Commun. 187: 130-136 (2015) - 2012
- [j35]Andreas Brieden, Peter Gritzmann:
On Optimal Weighted Balanced Clusterings: Gravity Bodies and Power Diagrams. SIAM J. Discret. Math. 26(2): 415-434 (2012) - 2011
- [j34]Steffen Borgwardt, Andreas Brieden, Peter Gritzmann:
Constrained Minimum-k-Star Clustering and its application to the consolidation of farmland. Oper. Res. 11(1): 1-17 (2011) - [j33]Peter Gritzmann, Barbara Langfeld, Markus Wiegelmann:
Uniqueness in Discrete Tomography: Three Remarks and a Corollary. SIAM J. Discret. Math. 25(4): 1589-1599 (2011) - 2010
- [j32]Andreas Brieden, Peter Gritzmann:
On Clustering Bodies: Geometry and Polyhedral Approximation. Discret. Comput. Geom. 44(3): 508-534 (2010) - [j31]Peter Gritzmann, Michael Ritter, Paul Zuber:
Optimal wire ordering and spacing in low power semiconductor design. Math. Program. 121(2): 201-220 (2010) - 2009
- [j30]Peter Gritzmann, Bernd Sturmfels, Günter M. Ziegler:
Guest Editors' Foreword. Discret. Comput. Geom. 42(2): 131 (2009) - 2008
- [j29]Peter Gritzmann, Barbara Langfeld:
On the index of Siegel grids and its application to the tomography of quasicrystals. Eur. J. Comb. 29(8): 1894-1909 (2008) - [j28]Sara Brunetti, Alberto Del Lungo, Peter Gritzmann, Sven de Vries:
On the reconstruction of binary and permutation matrices under (binary) tomographic constraints. Theor. Comput. Sci. 406(1-2): 63-71 (2008) - 2006
- [j27]Andreas Alpers, Peter Gritzmann:
On Stability, Error Correction, and Noise Compensation in Discrete Tomography. SIAM J. Discret. Math. 20(1): 227-239 (2006) - 2005
- [j26]Christian Huck, Michael Baake, Barbara Langfeld, Peter Gritzmann, Katja Lord:
Discrete Tomography of Mathematcal Quasicrystals: A Primer. Electron. Notes Discret. Math. 20: 179-191 (2005) - 2004
- [j25]Franziska Berger, Peter Gritzmann, Sven de Vries:
Minimum Cycle Bases for Network Graphs. Algorithmica 40(1): 51-62 (2004) - [j24]René Brandenberg, Abhi Dattasharma, Peter Gritzmann, David G. Larman:
Isoradial Bodies. Discret. Comput. Geom. 32(4): 447-457 (2004) - 2003
- [j23]Peter Gritzmann:
Stability Issues for Determination and Verification in Discrete Tomography. Electron. Notes Discret. Math. 12: 384 (2003) - 2002
- [j22]Peter Gritzmann, Sven de Vries:
On the algorithmic inversion of the discrete Radon transform. Theor. Comput. Sci. 281(1-2): 455-469 (2002) - 2000
- [j21]Thomas Burger, Peter Gritzmann:
Finding Optimal Shadows of Polytopes. Discret. Comput. Geom. 24(2-3): 219-240 (2000) - [j20]Andreas Brieden, Peter Gritzmann, Victor Klee:
Oracle-polynomial-time approximation of largest simplices in convex bodies. Discret. Math. 221(1-3): 79-92 (2000) - [j19]Peter Gritzmann, Sven de Vries, Markus Wiegelmann:
Approximating Binary Images from Discrete X-Rays. SIAM J. Optim. 11(2): 522-546 (2000) - [j18]R. J. Gardner, Peter Gritzmann, Dieter Prangenberg:
On the computational complexity of determining polyatomic structures by X-rays. Theor. Comput. Sci. 233(1-2): 91-106 (2000) - 1999
- [j17]Richard J. Gardner, Peter Gritzmann, Dieter Prangenberg:
On the computational complexity of reconstructing lattice sets from their X-rays. Discret. Math. 202(1-3): 45-71 (1999) - 1998
- [j16]Peter Gritzmann, Dieter Prangenberg, Sven de Vries, Markus Wiegelmann:
Success and failure of certain reconstruction and uniqueness algorithms in discrete tomography. Int. J. Imaging Syst. Technol. 9(2-3): 101-109 (1998) - [j15]Martin E. Dyer, Peter Gritzmann, Alexander Hufnagel:
On the Complexity of Computing Mixed Volumes. SIAM J. Comput. 27(2): 356-400 (1998) - 1997
- [j14]Peter Gritzmann:
Guest Editor's Foreword. Discret. Comput. Geom. 17(4): 363-364 (1997) - [j13]Andreas Brieden, Peter Gritzmann:
On Helly's Theorem: Algorithms and Extensions. Discret. Comput. Geom. 17(4): 393-410 (1997) - 1995
- [j12]Peter Gritzmann, Victor Klee, David G. Larman:
Largest j-Simplices n-Polytopes. Discret. Comput. Geom. 13: 477-515 (1995) - 1994
- [j11]Peter Gritzmann, Victor Klee:
On the complexity of some basic problems in computational convexity: I. Containment problems. Discret. Math. 136(1-3): 129-174 (1994) - 1993
- [j10]Peter Gritzmann, Victor Klee:
Computational complexity of inner and outer j-radii of polytopes in finite-dimensional normed spaces. Math. Program. 59: 163-213 (1993) - [j9]Peter Gritzmann, Bernd Sturmfels:
Minkowski Addition of Polytopes: Computational Complexity and Applications to Gröbner Basis. SIAM J. Discret. Math. 6(2): 246-269 (1993) - 1992
- [j8]Peter Gritzmann, Victor Klee:
Inner and Outer j-Radii of Convex Bodies in Finite-Dimensional Normed Spaces. Discret. Comput. Geom. 7: 255-280 (1992) - [j7]Peter Gritzmann, Victor Klee:
Deciding uniqueness in norm maximization. Math. Program. 57: 203-214 (1992) - 1991
- [j6]David W. Barnette, Peter Gritzmann, Rainer Höhne:
On valences of polyhedra. J. Comb. Theory A 58(2): 279-300 (1991) - [j5]Peter Gritzmann, Laurent Habsieger, Victor Klee:
Good and Bad Radii of Convex Polygons. SIAM J. Comput. 20(2): 395-403 (1991) - 1990
- [j4]Hans L. Bodlaender, Peter Gritzmann, Victor Klee, Jan van Leeuwen:
Computational complexity of norm-maximization. Comb. 10(2): 203-225 (1990) - 1989
- [j3]Gábor Fejes Tóth, Peter Gritzmann, Jörg M. Wills:
Finite Sphere Packing and Sphere Covering. Discret. Comput. Geom. 4: 19-40 (1989) - [j2]Peter Gritzmann, Marek Lassak:
Estimates for the Minimal Width of Polytopes Inscribed in Convex Bodies. Discret. Comput. Geom. 4: 627-635 (1989) - 1986
- [j1]Ulrich Betke, Peter Gritzmann:
An application of valuation theory to two problems in discrete geometry. Discret. Math. 58(1): 81-85 (1986)
Conference and Workshop Papers
- 2012
- [c9]Andreas Brieden, Peter Gritzmann, Michael Öllinger:
Optimal Robustness of Supply Chains. CTW 2012: 34 - [c8]Andreas Brieden, Peter Gritzmann, Bernhard Reinbold:
A Posteriori Vehicle Fleet Optimization and Scenario Evaluation. CTW 2012: 35 - 2009
- [c7]Franziska Berger, Peter Gritzmann, Sven de Vries:
Minimum Cycle Bases and Their Applications. Algorithmics of Large and Complex Networks 2009: 34-49 - 2005
- [c6]Paul Zuber, Peter Gritzmann, Michael Ritter, Walter Stechele:
The Optimal Wire Order for Low Power CMOS. PATMOS 2005: 674-683 - 2000
- [c5]Andreas Alpers, Peter Gritzmann, Lionel Thorens:
Stability and Instability in Discrete Tomography. Digital and Image Geometry 2000: 175-186 - 1998
- [c4]Andreas Brieden, Peter Gritzmann, Ravi Kannan, Victor Klee, László Lovász, Miklós Simonovits:
Approximation of Diameters: Randomization Doesn't Help. FOCS 1998: 244-251 - 1997
- [c3]Peter Gritzmann:
On the Reconstruction of Finite Lattice Sets from their X-Rays. DGCI 1997: 19-32 - 1995
- [c2]Peter Gritzmann, Alexander Hufnagel:
A Polynomial Time Algorithm for Minkowski Reconstruction. SCG 1995: 1-9 - 1990
- [c1]Peter Gritzmann, Victor Klee, John Westwater:
On the Limited Power of Linear Probes and Other Optimization Oracles. SCG 1990: 92-101
Parts in Books or Collections
- 2017
- [p3]Susanne Albers, Martin Bichler, Felix Brandt, Peter Gritzmann, Rainer Kolisch:
Algorithmic Economics und Operations Research. 50 Jahre Universitäts-Informatik in München 2017: 129-139 - 2015
- [p2]Eleanor Anthony, Sheridan Grant, Peter Gritzmann, J. Maurice Rojas:
Polynomial-Time Amoeba Neighborhood Membership and Faster Localized Solving. Topological and Statistical Methods for Complex Data, Tackling Large-Scale, High-Dimensional, and Multivariate Data Spaces 2015: 255-277 - 2007
- [p1]Peter Gritzmann:
On the Mathematics of Semantic Spaces. Aspects of Automatic Text Analysis 2007: 95-115
Editorship
- 1991
- [e1]Peter Gritzmann, Bernd Sturmfels:
Applied Geometry And Discrete Mathematics, Proceedings of a DIMACS Workshop, Providence, Rhode Island, USA, September 18, 1990. DIMACS Series in Discrete Mathematics and Theoretical Computer Science 4, DIMACS/AMS 1991, ISBN 978-0-8218-6593-4 [contents]
Reference Works
- 2004
- [r1]Peter Gritzmann, Victor Klee:
Computational Convexity. Handbook of Discrete and Computational Geometry, 2nd Ed. 2004: 693-718
Informal and Other Publications
- 2022
- [i26]Maximilian Fiedler, Peter Gritzmann:
Coresets for Weight-Constrained Anisotropic Assignment and Clustering. CoRR abs/2203.10864 (2022) - [i25]Andreas Alpers, Maximilian Fiedler, Peter Gritzmann, Fabian Klemm:
Turning grain maps into diagrams. CoRR abs/2205.06650 (2022) - 2018
- [i24]Andreas Alpers, Peter Gritzmann:
On the Reconstruction of Static and Dynamic Discrete Structures. CoRR abs/1809.06141 (2018) - 2017
- [i23]Andreas Alpers, Peter Gritzmann:
On double-resolution imaging in discrete tomography. CoRR abs/1701.04399 (2017) - [i22]Andreas Alpers, Peter Gritzmann:
Reconstructing binary matrices under window constraints from their row and column sums. CoRR abs/1702.06121 (2017) - [i21]Andreas Brieden, Peter Gritzmann, Fabian Klemm:
Electoral District Design via Constrained Clustering. CoRR abs/1703.02867 (2017) - [i20]Andreas Alpers, Peter Gritzmann:
Dynamic Discrete Tomography. CoRR abs/1712.04217 (2017) - 2013
- [i19]Steffen Borgwardt, Andreas Brieden, Peter Gritzmann:
A balanced k-means algorithm for weighted point sets. CoRR abs/1308.4004 (2013) - [i18]Eleanor Anthony, Sheridan Grant, Peter Gritzmann, J. Maurice Rojas:
Polynomial-Time Amoeba Neighborhood Membership and Faster Localized Solving. CoRR abs/1312.6547 (2013) - 1997
- [i17]Peter Gritzmann, Victor Klee:
Separation by Hyperplanes in Finite-Dimensional Vector Spaces Over Archimedean Ordered Fields. Universität Trier, Mathematik/Informatik, Forschungsbericht 97-02 (1997) - 1996
- [i16]Thomas Burger, Peter Gritzmann:
Polytopes in Combinatorial Optimization. Universität Trier, Mathematik/Informatik, Forschungsbericht 96-08 (1996) - [i15]R. J. Gardner, Peter Gritzmann, Dieter Prangenberg:
On the Reconstruction of Binary Images from Their Discrete Radon Transforms. Universität Trier, Mathematik/Informatik, Forschungsbericht 96-24 (1996) - [i14]Peter Gritzmann, Victor Klee:
Computational Convexity. Universität Trier, Mathematik/Informatik, Forschungsbericht 96-25 (1996) - [i13]Andreas Brieden, Peter Gritzmann:
On Helly's Theorem: Algorithms and Extensions. Universität Trier, Mathematik/Informatik, Forschungsbericht 96-28 (1996) - 1995
- [i12]R. J. Gardner, Peter Gritzmann:
Discrete Tomography: Determination of Finite Sets by X-Rays. Universität Trier, Mathematik/Informatik, Forschungsbericht 95-13 (1995) - [i11]Thomas Burger, Peter Gritzmann, Victor Klee:
Polytope Projection and Projection Polytopes. Universität Trier, Mathematik/Informatik, Forschungsbericht 95-14 (1995) - [i10]Peter Gritzmann, Alexander Hufnagel:
On the Algorithmic Complexity of Minkowski's Reconstruction Theorem. Universität Trier, Mathematik/Informatik, Forschungsbericht 95-15 (1995) - 1994
- [i9]Peter Gritzmann, Victor Klee, David G. Larman:
Largest j-Simplices in n-Polytopes. Universität Trier, Mathematik/Informatik, Forschungsbericht 94-01 (1994) - [i8]Peter Gritzmann, Victor Klee:
On the Complexity of some Basic Problems in Computational Convexity: II. Volume and mixed volumes. Universität Trier, Mathematik/Informatik, Forschungsbericht 94-07 (1994) - 1993
- [i7]Peter Gritzmann, Victor Klee:
Computational Complexity of Inner and Outer j-RADII of Polytopes in Finite-Dimensional Normed Spaces. Universität Trier, Mathematik/Informatik, Forschungsbericht 93-06 (1993) - [i6]Peter Gritzmann, Victor Klee:
External Tangents and Closedness of Cone + Subspace. Universität Trier, Mathematik/Informatik, Forschungsbericht 93-14 (1993) - [i5]Peter Gritzmann, Victor Klee, B. S. Tam:
Cross-Positive Matrices Revisited. Universität Trier, Mathematik/Informatik, Forschungsbericht 93-17 (1993) - [i4]Peter Gritzmann, Victor Klee:
On the Complexity of some Basic Problems in Computational Convexity: 1. Containment Problems. Universität Trier, Mathematik/Informatik, Forschungsbericht 93-18 (1993) - 1992
- [i3]R. J. Gardner, Peter Gritzmann:
Successive Determination and Verification of Polytopes by their X-Rays. Universität Trier, Mathematik/Informatik, Forschungsbericht 92-03 (1992) - [i2]Peter Gritzmann, Bernd Sturmfels:
Minkowski Addition of Polytopes: Computational Complexity and Applications to Gröbner Bases. Universität Trier, Mathematik/Informatik, Forschungsbericht 92-06 (1992) - [i1]Peter Gritzmann, Victor Klee, John Westwater:
Polytope Containment and Determination by Linear Probes. Universität Trier, Mathematik/Informatik, Forschungsbericht 92-26 (1992)
Coauthor Index
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